138419712000

Names of 138419712000

• Cardinal: 138419712000 can be written as One hundred thirty-eight billion, four hundred nineteen million, seven hundred twelve thousand.

Scientific notation

• Scientific notation: 1.38419712 × 10¹¹

Factors of 138419712000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 77

Divisors of 138419712000

• Number of divisors d(n): 1664
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 27 30 31 32 34 36 38 40 45 48 50 51 54 57 60 62 64 68 72 75 76 80 85 90 93 95 96 100 102 108 114 120 124 125 128 135 136 144 150 152 153 155 160 170 171 180 186 190 192 200 204 216 225 228 240 248 250 255 256 270 272 279 285 288 300 304 306 310 320 323 340 342 360 372 375 380 384 400 408 425 432 450 456 459 465 475 480 496 500 510 512 513 527 540 544 558 570 576 589 600 608 612 620 640 646 675 680 684 720 744 750 760 765 768 775 800 816 837 850 855 864 900 912 918 930 950 960 969 992 1000 1020 1024 1026 1054 1080 1088 1116 1125 1140 1152 1178 1200 1216 1224 1240 1275 1280 1292 1350 1360 1368 1395 1425 1440 1488 1500 1520 1530 1536 1550 1581 1600 1615 1632 1674 1700 1710 1728 1767 1800 1824 1836 1860 1900 1920 1938 1984 2000 2040 2048 2052 2108 2125 2160 2176 2232 2250 2280 2295 2304 2325 2356 2375 2400 2432 2448 2480 2550 2560 2565 2584 2635 2700 2720 2736 2790 2850 2880 2907 2945 2976 3000 3040 3060 3072 3100 3162 3200 3230 3264 3348 3375 3400 3420 3456 3534 3600 3648 3672 3720 3800 3825 3840 3875 3876 3968 4000 4080 4096 4104 4185 4216 4250 4275 4320 4352 4464 4500 4560 4590 4608 4650 4712 4743 4750 4800 4845 4864 4896 4960 5100 5120 5130 5168 5270 5301 5400 5440 5472 5580 5700 5760 5814 5890 5952 6000 6080 6120 6144 6200 6324 6375 6400 6460 6528 6696 6750 6800 6840 6912 6975 7068 7125 7200 7296 7344 7440 7600 7650 7680 7750 7752 7905 7936 8000 8075 8160 8208 8370 8432 8500 8550 8640 8704 8721 8835 8928 9000 9120 9180 9216 9300 9424 9486 9500 9600 9690 9728 9792 9920 10013 10200 10240 10260 10336 10540 10602 10800 10880 10944 11160 11400 11475 11520 11625 11628 11780 11904 12000 12160 12240 12288 12400 12648 12750 12800 12825 12920 13056 13175 13392 13500 13600 13680 13824 13950 14136 14229 14250 14400 14535 14592 14688 14725 14880 15200 15300 15360 15500 15504 15810 15872 15903 16000 16150 16320 16416 16740 16864 17000 17100 17280 17408 17442 17670 17856 18000 18240 18360 18432 18600 18848 18972 19000 19125 19200 19380 19456 19584 19840 20026 20400 20480 20520 20672 20925 21080 21204 21375 21600 21760 21888 22320 22800 22950 23040 23250 23256 23560 23715 23808 24000 24225 24320 24480 24800 25296 25500 25600 25650 25840 26112 26350 26505 26784 27000 27200 27360 27648 27900 28272 28458 28500 28800 29070 29184 29376 29450 29760 30039 30400 30600 30720 31000 31008 31620 31744 31806 32000 32300 32640 32832 33480 33728 34000 34200 34560 34816 34875 34884 35340 35712 36000 36480 36720 36864 37200 37696 37944 38000 38250 38400 38760 38912 39168 39525 39680 40052 40375 40800 41040 41344 41850 42160 42408 42750 43200 43520 43605 43776 44175 44640 45600 45900 46080 46500 46512 47120 47430 47616 48000 48450 48640 48960 49600 50065 50592 51000 51200 51300 51680 52224 52700 53010 53568 54000 54400 54720 55296 55800 56544 56916 57000 57375 57600 58140 58368 58752 58900 59520 60078 60800 61200 61440 62000 62016 63240 63488 63612 64000 64125 64600 65280 65664 65875 66960 67456 68000 68400 69120 69632 69750 69768 70680 71145 71424 72000 72675 72960 73440 73625 74400 75392 75888 76000 76500 76800 77520 77824 78336 79050 79360 79515 80104 80750 81600 82080 82688 83700 84320 84816 85500 86400 87040 87210 87552 88350 89280 90117 91200 91800 92160 93000 93024 94240 94860 95232 96000 96900 97280 97920 99200 100130 101184 102000 102400 102600 103360 104448 104625 105400 106020 107136 108000 108800 109440 110592 111600 113088 113832 114000 114750 115200 116280 116736 117504 117800 118575 119040 120156 121125 121600 122400 124000 124032 126480 126976 127224 128000 128250 129200 130560 131328 131750 132525 133920 134912 136000 136800 138240 139500 139536 141360 142290 142848 144000 145350 145920 146880 147250 148800 150195 150784 151776 152000 153000 153600 155040 156672 158100 158720 159030 160208 161500 163200 164160 165376 167400 168640 169632 171000 172800 174080 174420 175104 176700 178560 180234 182400 183600 184320 186000 186048 188480 189720 190464 192000 193800 194560 195840 197625 198400 200260 202368 204000 205200 206720 208896 209250 210800 212040 214272 216000 217600 218025 218880 220875 223200 226176 227664 228000 229500 230400 232560 233472 235008 235600 237150 238080 240312 242250 243200 244800 248000 248064 250325 252960 254448 256000 256500 258400 261120 262656 263500 265050 267840 269824 270351 272000 273600 276480 279000 279072 282720 284580 285696 288000 290700 291840 293760 294500 297600 300390 301568 303552 304000 306000 307200 310080 313344 316200 317440 318060 320416 323000 326400 328320 330752 334800 337280 339264 342000 345600 348160 348840 350208 353400 355725 357120 360468 363375 364800 367200 372000 372096 376960 379440 380928 384000 387600 389120 391680 395250 396800 397575 400520 404736 408000 410400 413440 418500 421600 424080 428544 432000 435200 436050 437760 441750 446400 450585 452352 455328 456000 459000 460800 465120 470016 471200 474300 476160 480624 484500 486400 489600 496000 496128 500650 505920 508896 512000 513000 516800 522240 525312 527000 530100 535680 539648 540702 544000 547200 552960 558000 558144 565440 569160 571392 576000 581400 583680 587520 589000 592875 595200 600780 603136 607104 608000 612000 620160 626688 632400 634880 636120 640832 646000 652800 656640 661504 662625 669600 674560 678528 684000 691200 697680 700416 706800 711450 714240 720936 726750 729600 734400 744000 744192 750975 753920 758880 768000 775200 783360 790500 793600 795150 801040 809472 816000 820800 826880 837000 843200 848160 857088 864000 870400 872100 875520 883500 892800 901170 904704 910656 912000 918000 921600 930240 940032 942400 948600 952320 961248 969000 972800 979200 992000 992256 1001300 1011840 1017792 1026000 1033600 1044480 1050624 1054000 1060200 1071360 1079296 1081404 1088000 1090125 1094400 1116000 1116288 1130880 1138320 1142784 1152000 1162800 1167360 1175040 1178000 1185750 1190400 1201560 1206272 1214208 1216000 1224000 1240320 1251625 1264800 1272240 1281664 1292000 1305600 1313280 1323008 1325250 1339200 1349120 1351755 1357056 1368000 1382400 1395360 1413600 1422900 1428480 1441872 1453500 1459200 1468800 1488000 1488384 1501950 1507840 1517760 1536000 1550400 1566720 1581000 1587200 1590300 1602080 1618944 1632000 1641600 1653760 1674000 1686400 1696320 1714176 1728000 1740800 1744200 1751040 1767000 1778625 1785600 1802340 1809408 1821312 1824000 1836000 1860480 1880064 1884800 1897200 1904640 1922496 1938000 1945600 1958400 1984000 1984512 1987875 2002600 2023680 2035584 2052000 2067200 2101248 2108000 2120400 2142720 2158592 2162808 2176000 2180250 2188800 2232000 2232576 2252925 2261760 2276640 2304000 2325600 2350080 2356000 2371500 2380800 2403120 2412544 2428416 2432000 2448000 2480640 2503250 2529600 2544480 2563328 2584000 2611200 2626560 2650500 2678400 2698240 2703510 2714112 2736000 2764800 2790720 2827200 2845800 2856960 2883744 2907000 2918400 2937600 2976000 2976768 3003900 3015680 3035520 3100800 3133440 3162000 3174400 3180600 3204160 3237888 3264000 3283200 3307520 3348000 3372800 3392640 3428352 3456000 3488400 3502080 3534000 3557250 3571200 3604680 3618816 3642624 3648000 3672000 3720960 3754875 3769600 3794400 3844992 3876000 3916800 3968000 3969024 3975750 4005200 4047360 4071168 4104000 4134400 4216000 4240800 4285440 4325616 4352000 4360500 4377600 4464000 4465152 4505850 4523520 4553280 4608000 4651200 4700160 4712000 4743000 4761600 4806240 4856832 4864000 4896000 4961280 5006500 5059200 5088960 5126656 5168000 5222400 5253120 5301000 5356800 5396480 5407020 5428224 5472000 5581440 5654400 5691600 5713920 5767488 5814000 5836800 5875200 5952000 5953536 6007800 6031360 6071040 6201600 6324000 6361200 6408320 6475776 6528000 6566400 6615040 6696000 6745600 6758775 6785280 6912000 6976800 7068000 7114500 7142400 7209360 7237632 7285248 7296000 7344000 7441920 7509750 7539200 7588800 7689984 7752000 7833600 7936000 7951500 8010400 8094720 8142336 8208000 8268800 8432000 8481600 8570880 8651232 8704000 8721000 8755200 8928000 8930304 9011700 9047040 9106560 9302400 9400320 9424000 9486000 9523200 9612480 9713664 9728000 9792000 9922560 10013000 10118400 10177920 10253312 10336000 10506240 10602000 10713600 10792960 10814040 10856448 10944000 11162880 11264625 11308800 11383200 11534976 11628000 11750400 11904000 11907072 12015600 12062720 12142080 12403200 12648000 12722400 12816640 13056000 13132800 13392000 13491200 13517550 13570560 13824000 13953600 14136000 14229000 14284800 14418720 14570496 14592000 14688000 14883840 15019500 15078400 15177600 15379968 15504000 15667200 15872000 15903000 16020800 16189440 16284672 16416000 16537600 16864000 16963200 17141760 17302464 17442000 17510400 17856000 17860608 18023400 18094080 18213120 18604800 18848000 18972000 19224960 19427328 19584000 19845120 20026000 20236800 20355840 20506624 20672000 21204000 21427200 21628080 21712896 21888000 22325760 22529250 22617600 22766400 23069952 23256000 23500800 23808000 24031200 24284160 24806400 25296000 25444800 25633280 26112000 26265600 26784000 26982400 27035100 27141120 27907200 28272000 28458000 28569600 28837440 29140992 29184000 29376000 29767680 30039000 30156800 30355200 30759936 31008000 31806000 32041600 32378880 32569344 32832000 33075200 33728000 33793875 33926400 34604928 34884000 35712000 35721216 36046800 36188160 36426240 37209600 37696000 37944000 38449920 39168000 40052000 40473600 40711680 41013248 41344000 42408000 42854400 43256160 43776000 44651520 45058500 45235200 45532800 46139904 46512000 47001600 47616000 48062400 48568320 49612800 50592000 50889600 51266560 52531200 53568000 53964800 54070200 54282240 55814400 56544000 56916000 57674880 58281984 58752000 59535360 60078000 60313600 60710400 61519872 62016000 63612000 64083200 65138688 65664000 67456000 67587750 67852800 69209856 69768000 71424000 72093600 72852480 74419200 75392000 75888000 76899840 78336000 80104000 80947200 81423360 82688000 84816000 85708800 86512320 87552000 89303040 90117000 90470400 91065600 92279808 93024000 96124800 97136640 99225600 101184000 101779200 102533120 107136000 108140400 108564480 111628800 113088000 113832000 115349760 117504000 120156000 121420800 123039744 124032000 127224000 128166400 131328000 134912000 135175500 135705600 138419712 139536000 142848000 144187200 145704960 148838400 150784000 151776000 153799680 160208000 161894400 162846720 165376000 169632000 173024640 178606080 180234000 180940800 182131200 184559616 186048000 192249600 202368000 203558400 205066240 214272000 216280800 223257600 226176000 227664000 230699520 235008000 240312000 242841600 248064000 254448000 256332800 262656000 269824000 270351000 271411200 276839424 279072000 288374400 291409920 297676800 301568000 303552000 307599360 320416000 325693440 339264000 346049280 360468000 364262400 369119232 372096000 384499200 404736000 407116800 428544000 432561600 446515200 452352000 455328000 461399040 480624000 485683200 496128000 508896000 512665600 540702000 542822400 553678848 558144000 576748800 607104000 615198720 640832000 678528000 692098560 720936000 728524800 744192000 768998400 809472000 814233600 865123200 893030400 904704000 910656000 922798080 961248000 1017792000 1025331200 1081404000 1107357696 1116288000 1153497600 1214208000 1281664000 1357056000 1384197120 1441872000 1457049600 1488384000 1537996800 1628467200 1730246400 1821312000 1845596160 1922496000 2035584000 2162808000 2232576000 2306995200 2428416000 2563328000 2714112000 2768394240 2883744000 3075993600 3460492800 3642624000 3844992000 4071168000 4325616000 4465152000 4613990400 5126656000 5536788480 5767488000 6920985600 7285248000 7689984000 8142336000 8651232000 9227980800 11534976000 13841971200 15379968000 17302464000 23069952000 27683942400 34604928000 46139904000 69209856000 138419712000
• Sum of all divisors σ(n): 588808396800
• Sum of proper divisors (its aliquot sum) s(n): 450388684800
• 138419712000 is an abundant number, because the sum of its proper divisors (450388684800) is greater than itself. Its abundance is 311968972800

Bases of 138419712000

• Binary: 10000000111010011101010011000000000000₂
• Hexadecimal: 0x203A753000
• Base-36: 1RL7ITC0

Squares and roots of 138419712000

• 138419712000 squared (138419712000²) is 19160016670162944000000
• 138419712000 cubed (138419712000³) is 2652123989399153701552128000000000
• The square root of 138419712000 is 372047.9969036253
• The cube root of 138419712000 is 5172.8828979227

Scales and comparisons

• 138,419,712,000 seconds is equal to 4,401 years, 16 weeks, 4 days.
• To count from 1 to 138,419,712,000 would take you about eight thousand, eight hundred two 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 138419712000 cubic inches would be around 431.1 feet tall.

Recreational maths with 138419712000

• 138419712000 backwards is 000217914831
• 138419712000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138419712000's digits is 36
• More coming soon!