149812416000

Names of 149812416000

• Cardinal: 149812416000 can be written as One hundred forty-nine billion, eight hundred twelve million, four hundred sixteen thousand.

Scientific notation

• Scientific notation: 1.49812416 × 10¹¹

Factors of 149812416000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 42

Divisors of 149812416000

• Number of divisors d(n): 1680
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 32 36 38 39 40 45 48 50 52 54 57 60 64 65 72 75 76 78 80 81 90 95 96 100 104 108 114 117 120 125 128 130 135 144 150 152 156 160 162 169 171 180 190 192 195 200 208 216 225 228 234 240 243 247 250 256 260 270 285 288 300 304 312 320 324 325 338 342 351 360 375 380 384 390 400 405 416 432 450 456 468 475 480 486 494 500 507 512 513 520 540 570 576 585 600 608 624 640 648 650 675 676 684 702 720 729 741 750 760 768 780 800 810 832 845 855 864 900 912 936 950 960 972 975 988 1000 1014 1026 1040 1053 1080 1125 1140 1152 1170 1200 1215 1216 1235 1248 1280 1296 1300 1350 1352 1368 1404 1425 1440 1458 1482 1500 1520 1521 1536 1539 1560 1600 1620 1625 1664 1690 1710 1728 1755 1800 1824 1872 1900 1920 1944 1950 1976 2000 2025 2028 2052 2080 2106 2160 2223 2250 2280 2304 2340 2375 2400 2430 2432 2470 2496 2535 2560 2565 2592 2600 2700 2704 2736 2808 2850 2880 2916 2925 2964 3000 3040 3042 3078 3120 3159 3200 3211 3240 3250 3328 3375 3380 3420 3456 3510 3600 3645 3648 3705 3744 3800 3840 3888 3900 3952 4000 4050 4056 4104 4160 4212 4225 4275 4320 4446 4500 4560 4563 4608 4617 4680 4750 4800 4860 4864 4875 4940 4992 5070 5130 5184 5200 5265 5400 5408 5472 5616 5700 5760 5832 5850 5928 6000 6075 6080 6084 6156 6175 6240 6318 6400 6422 6480 6500 6656 6669 6750 6760 6840 6912 7020 7125 7200 7290 7296 7410 7488 7600 7605 7680 7695 7776 7800 7904 8000 8100 8112 8208 8320 8424 8450 8550 8640 8775 8892 9000 9120 9126 9234 9360 9477 9500 9600 9633 9720 9728 9750 9880 9984 10125 10140 10260 10368 10400 10530 10800 10816 10944 11115 11232 11400 11520 11664 11700 11856 12000 12150 12160 12168 12312 12350 12480 12636 12675 12800 12825 12844 12960 13000 13338 13500 13520 13680 13689 13824 13851 14040 14250 14400 14580 14592 14625 14820 14976 15200 15210 15390 15552 15600 15795 15808 16000 16055 16200 16224 16416 16640 16848 16900 17100 17280 17550 17784 18000 18225 18240 18252 18468 18525 18720 18954 19000 19200 19266 19440 19500 19760 19968 20007 20250 20280 20520 20736 20800 21060 21125 21375 21600 21632 21888 22230 22464 22800 22815 23040 23085 23328 23400 23712 24000 24300 24320 24336 24624 24700 24960 25272 25350 25650 25688 25920 26000 26325 26676 27000 27040 27360 27378 27702 28080 28500 28800 28899 29160 29184 29250 29640 29952 30375 30400 30420 30780 30875 31104 31200 31590 31616 32000 32110 32400 32448 32832 33280 33345 33696 33800 34200 34560 35100 35568 36000 36450 36480 36504 36936 37050 37440 37908 38000 38025 38400 38475 38532 38880 39000 39520 40014 40500 40560 41040 41067 41472 41600 42120 42250 42750 43200 43264 43776 43875 44460 44928 45600 45630 46170 46656 46800 47385 47424 48000 48165 48600 48640 48672 49248 49400 49920 50544 50700 51300 51376 51840 52000 52650 53352 54000 54080 54720 54756 55404 55575 56160 57000 57600 57798 58320 58500 59280 59904 60021 60750 60800 60840 61560 61750 62208 62400 63180 63232 63375 64000 64125 64220 64800 64896 65664 66690 67392 67600 68400 68445 69120 69255 70200 71136 72000 72900 72960 73008 73872 74100 74880 75816 76000 76050 76950 77064 77760 78000 78975 79040 80028 80275 81000 81120 82080 82134 83200 84240 84500 85500 86400 86528 86697 87552 87750 88920 89856 91125 91200 91260 92340 92625 93312 93600 94770 94848 96000 96330 97200 97344 98496 98800 99840 100035 101088 101400 102600 102752 103680 104000 105300 106704 108000 108160 109440 109512 110808 111150 112320 114000 114075 115200 115425 115596 116640 117000 118560 120042 121500 121600 121680 123120 123201 123500 124416 124800 126360 126464 126750 128250 128440 129600 129792 131328 131625 133380 134784 135200 136800 136890 138510 140400 142272 144000 144495 145800 145920 146016 147744 148200 149760 151632 152000 152100 153900 154128 155520 156000 157950 158080 160056 160550 162000 162240 164160 164268 166400 166725 168480 169000 171000 172800 173394 175500 177840 179712 180063 182250 182400 182520 184680 185250 186624 187200 189540 189696 190125 192000 192375 192660 194400 194688 196992 197600 200070 202176 202800 205200 205335 205504 207360 208000 210600 213408 216000 216320 218880 219024 221616 222300 224640 228000 228150 230850 231192 233280 234000 236925 237120 240084 240825 243000 243200 243360 246240 246402 247000 249600 252720 253500 256500 256880 259200 259584 260091 262656 263250 266760 269568 270400 273600 273780 277020 277875 280800 284544 288000 288990 291600 292032 295488 296400 299520 300105 303264 304000 304200 307800 308256 311040 312000 315900 316160 320112 321100 324000 324480 328320 328536 333450 336960 338000 342000 342225 345600 346275 346788 351000 355680 360126 364500 364800 365040 369360 370500 373248 374400 379080 379392 380250 384750 385320 388800 389376 393984 394875 395200 400140 401375 404352 405600 410400 410670 411008 416000 421200 426816 432000 432640 433485 437760 438048 443232 444600 449280 456000 456300 461700 462384 466560 468000 473850 474240 480168 481650 486000 486720 492480 492804 494000 499200 500175 505440 507000 513000 513760 518400 520182 526500 533520 539136 540800 547200 547560 554040 555750 561600 569088 570375 576000 577125 577980 583200 584064 590976 592800 600210 606528 608000 608400 615600 616005 616512 622080 624000 631800 632320 640224 642200 648000 648960 656640 657072 666900 673920 676000 684000 684450 692550 693576 702000 711360 720252 722475 729000 729600 730080 738720 741000 748800 758160 760500 769500 770640 777600 778752 780273 787968 789750 790400 800280 802750 808704 811200 820800 821340 822016 832000 833625 842400 853632 864000 866970 876096 886464 889200 898560 900315 912000 912600 923400 924768 933120 936000 947700 948480 960336 963300 972000 973440 984960 985608 988000 1000350 1010880 1014000 1026000 1026675 1027520 1036800 1040364 1053000 1067040 1081600 1094400 1095120 1108080 1111500 1123200 1138176 1140750 1154250 1155960 1166400 1168128 1181952 1184625 1185600 1200420 1204125 1213056 1216000 1216800 1231200 1232010 1233024 1248000 1263600 1280448 1284400 1296000 1297920 1300455 1313280 1314144 1333800 1347840 1352000 1368000 1368900 1385100 1387152 1404000 1422720 1440504 1444950 1458000 1460160 1477440 1482000 1497600 1500525 1516320 1521000 1539000 1541280 1555200 1560546 1579500 1580800 1600560 1605500 1617408 1622400 1641600 1642680 1644032 1667250 1684800 1707264 1711125 1728000 1731375 1733940 1752192 1772928 1778400 1800630 1824000 1825200 1846800 1849536 1866240 1872000 1895400 1896960 1920672 1926600 1944000 1946880 1969920 1971216 1976000 2000700 2021760 2028000 2052000 2053350 2055040 2080728 2106000 2134080 2163200 2167425 2188800 2190240 2216160 2223000 2246400 2281500 2308500 2311920 2332800 2336256 2340819 2363904 2369250 2371200 2400840 2408250 2426112 2433600 2462400 2464020 2466048 2496000 2500875 2527200 2560896 2568800 2592000 2600910 2628288 2667600 2695680 2704000 2736000 2737800 2770200 2774304 2808000 2845440 2881008 2889900 2916000 2920320 2954880 2964000 3001050 3032640 3042000 3078000 3080025 3082560 3110400 3121092 3159000 3161600 3201120 3211000 3244800 3283200 3285360 3334500 3369600 3414528 3422250 3462750 3467880 3504384 3545856 3556800 3601260 3612375 3648000 3650400 3693600 3699072 3744000 3790800 3841344 3853200 3888000 3893760 3901365 3939840 3942432 3952000 4001400 4043520 4056000 4104000 4106700 4110080 4161456 4212000 4268160 4334850 4380480 4432320 4446000 4492800 4501575 4563000 4617000 4623840 4665600 4681638 4738500 4742400 4801680 4816500 4852224 4867200 4924800 4928040 4932096 5001750 5054400 5121792 5133375 5137600 5184000 5201820 5256576 5335200 5408000 5472000 5475600 5540400 5548608 5616000 5690880 5762016 5779800 5832000 5840640 5909760 5928000 6002100 6065280 6084000 6156000 6160050 6165120 6242184 6318000 6402240 6422000 6489600 6502275 6566400 6570720 6669000 6739200 6844500 6925500 6935760 7008768 7091712 7113600 7202520 7224750 7300800 7387200 7398144 7488000 7502625 7581600 7682688 7706400 7776000 7802730 7884864 7904000 8002800 8087040 8112000 8208000 8213400 8220160 8322912 8424000 8536320 8669700 8760960 8864640 8892000 9003150 9126000 9234000 9247680 9331200 9363276 9477000 9484800 9603360 9633000 9734400 9849600 9856080 10003500 10108800 10243584 10266750 10275200 10403640 10513152 10670400 10816000 10837125 10944000 10951200 11080800 11097216 11232000 11524032 11559600 11664000 11681280 11704095 11819520 11856000 12004200 12130560 12168000 12312000 12320100 12330240 12484368 12636000 12804480 12844000 13004550 13141440 13338000 13478400 13689000 13851000 13871520 14227200 14405040 14449500 14601600 14774400 14796288 15005250 15163200 15365376 15400125 15412800 15552000 15605460 15769728 15808000 16005600 16224000 16416000 16426800 16645824 16848000 17072640 17339400 17521920 17729280 17784000 18006300 18252000 18468000 18495360 18726552 18954000 19206720 19266000 19468800 19506825 19699200 19712160 20007000 20217600 20533500 20550400 20807280 21026304 21340800 21674250 21902400 22161600 22194432 22464000 22507875 23048064 23119200 23328000 23408190 23712000 24008400 24261120 24336000 24624000 24640200 24660480 24968736 25272000 25608960 25688000 26009100 26282880 26676000 27378000 27702000 27743040 28454400 28810080 28899000 29203200 29548800 30010500 30326400 30730752 30800250 30825600 31210920 31539456 32011200 32448000 32511375 32832000 32853600 33291648 33696000 34678800 35043840 35458560 35568000 36012600 36504000 36936000 36990720 37453104 37908000 38413440 38532000 39013650 39424320 40014000 40435200 41067000 41100800 41614560 42681600 43348500 43804800 44323200 44388864 45015750 46096128 46238400 46656000 46816380 47424000 48016800 48672000 49248000 49280400 49937472 50544000 51217920 51376000 52018200 52565760 53352000 54756000 55404000 55486080 57620160 57798000 58406400 58520475 59097600 60021000 60652800 61600500 61651200 62421840 63078912 64022400 65022750 65707200 66583296 67392000 69357600 71136000 72025200 73008000 73872000 73981440 74906208 75816000 76826880 77064000 78027300 78848640 80028000 82134000 83229120 85363200 86697000 87609600 88646400 90031500 92192256 92476800 93632760 96033600 97344000 97534125 98496000 98560800 99874944 101088000 102752000 104036400 105131520 106704000 109512000 110808000 110972160 115240320 115596000 117040950 120042000 121305600 123201000 123302400 124843680 128044800 130045500 131414400 133166592 138715200 142272000 144050400 146016000 147744000 149812416 151632000 153653760 154128000 156054600 157697280 160056000 164268000 166458240 173394000 175219200 177292800 180063000 184953600 187265520 192067200 195068250 197121600 199749888 202176000 205504000 208072800 213408000 219024000 221616000 221944320 230480640 231192000 234081900 240084000 246402000 249687360 256089600 260091000 262828800 277430400 288100800 292032000 292602375 295488000 299624832 303264000 308256000 312109200 315394560 320112000 328536000 332916480 346788000 360126000 369907200 374531040 384134400 390136500 394243200 399499776 416145600 426816000 438048000 443232000 460961280 462384000 468163800 480168000 492804000 499374720 520182000 525657600 554860800 576201600 585204750 599249664 606528000 616512000 624218400 640224000 657072000 665832960 693576000 720252000 749062080 768268800 780273000 788486400 832291200 876096000 886464000 924768000 936327600 960336000 985608000 998749440 1040364000 1109721600 1152403200 1170409500 1198499328 1248436800 1280448000 1314144000 1387152000 1440504000 1498124160 1560546000 1576972800 1664582400 1849536000 1872655200 1920672000 1971216000 1997498880 2080728000 2304806400 2340819000 2496873600 2628288000 2774304000 2881008000 2996248320 3121092000 3329164800 3745310400 3841344000 3942432000 4161456000 4681638000 4993747200 5548608000 5762016000 5992496640 6242184000 7490620800 7884864000 8322912000 9363276000 9987494400 11524032000 12484368000 14981241600 16645824000 18726552000 24968736000 29962483200 37453104000 49937472000 74906208000 149812416000
• Sum of all divisors σ(n): 638412643440
• Sum of proper divisors (its aliquot sum) s(n): 488600227440
• 149812416000 is an abundant number, because the sum of its proper divisors (488600227440) is greater than itself. Its abundance is 338787811440

Bases of 149812416000

• Binary: 10001011100001100001000000111000000000₂
• Hexadecimal: 0x22E1840E00
• Base-36: 1WTMG000

Squares and roots of 149812416000

• 149812416000 squared (149812416000²) is 22443759987757056000000
• 149812416000 cubed (149812416000³) is 3362353907890014980407296000000000
• The square root of 149812416000 is 387056.0889586935
• The cube root of 149812416000 is 5311.0770581639

Scales and comparisons

• 149,812,416,000 seconds is equal to 4,763 years, 29 weeks, 5 days.
• To count from 1 to 149,812,416,000 would take you about nine thousand, five hundred twenty-seven years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 149812416000 cubic inches would be around 442.6 feet tall.

Recreational maths with 149812416000

• 149812416000 backwards is 000614218941
• 149812416000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 149812416000's digits is 36
• More coming soon!