137987715840

Names of 137987715840

• Cardinal: 137987715840 can be written as One hundred thirty-seven billion, nine hundred eighty-seven million, seven hundred fifteen thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3798771584 × 10¹¹

Factors of 137987715840

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 73

Divisors of 137987715840

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 31 32 38 39 40 48 52 57 60 62 64 65 76 78 80 93 95 96 104 114 120 124 128 130 152 155 156 160 169 186 190 192 195 208 228 240 247 248 256 260 285 304 310 312 320 338 361 372 380 384 390 403 416 456 465 480 494 496 507 520 570 589 608 620 624 640 676 722 741 744 760 768 780 806 832 845 912 930 960 988 992 1014 1040 1083 1140 1178 1209 1216 1235 1240 1248 1280 1352 1444 1482 1488 1520 1560 1612 1664 1690 1767 1805 1824 1860 1920 1976 1984 2015 2028 2080 2166 2280 2356 2418 2432 2470 2480 2496 2535 2704 2888 2945 2964 2976 3040 3120 3211 3224 3328 3380 3534 3610 3648 3705 3720 3840 3952 3968 4030 4056 4160 4332 4560 4693 4712 4836 4864 4940 4960 4992 5070 5239 5408 5415 5776 5890 5928 5952 6045 6080 6240 6422 6448 6760 6859 7068 7220 7296 7410 7440 7657 7904 7936 8060 8112 8320 8664 8835 9120 9386 9424 9633 9672 9880 9920 9984 10140 10478 10816 10830 11191 11552 11780 11856 11904 12090 12160 12480 12844 12896 13520 13718 14079 14136 14440 14592 14820 14880 15314 15717 15808 16055 16120 16224 16640 17328 17670 18240 18772 18848 19266 19344 19760 19840 20280 20577 20956 21632 21660 22382 22971 23104 23465 23560 23712 23808 24180 24320 24960 25688 25792 26195 27040 27436 28158 28272 28880 29640 29760 30628 31434 31616 32110 32240 32448 33573 34295 34656 35340 36480 37544 37696 38285 38532 38688 39520 39680 40560 41154 41912 43264 43320 44764 45942 46208 46930 47120 47424 48165 48360 49920 51376 51584 52390 54080 54872 55955 56316 56544 57760 59280 59520 61009 61256 62868 63232 64220 64480 64896 67146 68590 69312 70395 70680 72960 75088 75392 76570 77064 77376 78585 79040 81120 82308 83824 86640 89167 89528 91884 92416 93860 94240 94848 96330 96720 99541 102752 102885 103168 104780 108160 109744 111910 112632 113088 114855 115520 118560 119040 122018 122512 125736 128440 128960 129792 134292 137180 138624 140790 141360 145483 150176 150784 153140 154128 154752 157170 158080 162240 164616 167648 167865 173280 178334 179056 183027 183768 187720 188480 189696 192660 193440 199082 205504 205770 209560 212629 216320 219488 223820 225264 226176 229710 231040 237120 244036 245024 251472 256880 257920 267501 268584 274360 277248 281580 282720 290966 298623 300352 305045 306280 308256 309504 314340 316160 324480 329232 335296 335730 346560 356668 358112 366054 367536 375440 376960 385320 386880 398164 411008 411540 419120 425258 436449 438976 445835 447640 450528 452352 459420 462080 474240 488072 490048 497705 502944 513760 515840 535002 537168 548720 563160 565440 581932 597246 600704 610090 612560 616512 628680 637887 648960 658464 670592 671460 693120 713336 716224 727415 732108 735072 750880 753920 770640 773760 796328 822016 823080 838240 850516 872898 877952 891670 895280 901056 915135 918840 948480 976144 980096 995410 1005888 1027520 1063145 1070004 1074336 1097440 1126320 1130880 1159171 1163864 1194492 1201408 1220180 1225120 1233024 1257360 1275774 1316928 1337505 1341184 1342920 1386240 1426672 1432448 1454830 1464216 1470144 1493115 1501760 1541280 1547520 1592656 1646160 1676480 1701032 1745796 1755904 1783340 1790560 1802112 1830270 1837680 1891279 1952288 1960192 1990820 2011776 2055040 2126290 2140008 2148672 2182245 2194880 2252640 2261760 2318342 2327728 2388984 2440360 2450240 2466048 2514720 2551548 2633856 2675010 2685840 2764177 2853344 2864896 2909660 2928432 2940288 2986230 3003520 3082560 3185312 3189435 3292320 3352960 3402064 3477513 3491592 3566680 3581120 3604224 3660540 3675360 3782558 3904576 3981640 4023552 4110080 4252580 4280016 4297344 4364490 4389760 4505280 4636684 4655456 4777968 4880720 4900480 5029440 5103096 5267712 5350020 5371680 5528354 5673837 5706688 5795855 5819320 5856864 5880576 5972460 6007040 6165120 6370624 6378870 6584640 6705920 6804128 6955026 6983184 7133360 7162240 7321080 7350720 7565116 7809152 7963280 8292531 8505160 8560032 8594688 8728980 8779520 9010560 9273368 9310912 9456395 9555936 9761440 9800960 10058880 10206192 10700040 10743360 11056708 11347674 11413376 11591710 11638640 11713728 11944920 12330240 12741248 12757740 13169280 13608256 13820885 13910052 13966368 14266720 14324480 14642160 14701440 15130232 15618304 15926560 16585062 17010320 17120064 17387565 17457960 18021120 18546736 18621824 18912790 19111872 19522880 20117760 20412384 21400080 21486720 22113416 22695348 22826752 23183420 23277280 23427456 23889840 25482496 25515480 26338560 27216512 27641770 27820104 27932736 28369185 28533440 29284320 29402880 30260464 31853120 33170124 34020640 34240128 34775130 34915920 35934301 37093472 37243648 37825580 38223744 39045760 40824768 41462655 42800160 42973440 44226832 45390696 46366840 46554560 46854912 47779680 51030960 54433024 55283540 55640208 55865472 56738370 57066880 58568640 60520928 63706240 66340248 68041280 68480256 69550260 69831840 71868602 74186944 75651160 76447488 78091520 81649536 82925310 85600320 88453664 90781392 92733680 93109120 95559360 102061920 107802903 110567080 111280416 111730944 113476740 114133760 117137280 121041856 127412480 132680496 136082560 139100520 139663680 143737204 148373888 151302320 163299072 165850620 171200640 176907328 179671505 181562784 185467360 186218240 191118720 204123840 215605806 221134160 222560832 226953480 234274560 242083712 265360992 272165120 278201040 279327360 287474408 296747776 302604640 331701240 342401280 353814656 359343010 363125568 370934720 382237440 408247680 431211612 442268320 445121664 453906960 484167424 530721984 539014515 556402080 558654720 574948816 605209280 663402480 707629312 718686020 726251136 741869440 816495360 862423224 884536640 890243328 907813920 1061443968 1078029030 1112804160 1149897632 1210418560 1326804960 1437372040 1452502272 1483738880 1724846448 1769073280 1815627840 2122887936 2156058060 2225608320 2299795264 2420837120 2653609920 2874744080 3449692896 3538146560 3631255680 4312116120 4451216640 4599590528 5307219840 5749488160 6899385792 7262511360 8624232240 9199181056 10614439680 11498976320 13798771584 17248464480 22997952640 27597543168 34496928960 45995905280 68993857920 137987715840
• Sum of all divisors σ(n): 519962204160
• Sum of proper divisors (its aliquot sum) s(n): 381974488320
• 137987715840 is an abundant number, because the sum of its proper divisors (381974488320) is greater than itself. Its abundance is 243986772480

Bases of 137987715840

• Binary: 10000000100000101101010111001100000000₂
• Hexadecimal: 0x2020B57300
• Base-36: 1RE2BMYO

Squares and roots of 137987715840

• 137987715840 squared (137987715840²) is 19040609722740586905600
• 137987715840 cubed (137987715840³) is 2627370243841869291964757704704000
• The square root of 137987715840 is 371466.9781286083
• The cube root of 137987715840 is 5167.4959139243

Scales and comparisons

• 137,987,715,840 seconds is equal to 4,387 years, 30 weeks, 2 days, 1 hour, 4 minutes.
• To count from 1 to 137,987,715,840 would take you about eight thousand, seven hundred seventy-five 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 137987715840 cubic inches would be around 430.6 feet tall.

Recreational maths with 137987715840

• 137987715840 backwards is 048517789731
• 137987715840 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137987715840's digits is 60
• More coming soon!