137687135040

Names of 137687135040

• Cardinal: 137687135040 can be written as One hundred thirty-seven billion, six hundred eighty-seven million, one hundred thirty-five thousand and forty.

Scientific notation

• Scientific notation: 1.3768713504 × 10¹¹

Factors of 137687135040

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4800

Divisors of 137687135040

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 37 39 40 42 45 48 52 54 56 60 63 64 65 70 72 74 78 80 84 90 91 96 104 105 108 111 112 117 120 126 130 135 140 144 148 156 160 168 180 182 185 189 192 195 208 210 216 222 224 234 240 252 259 260 270 273 280 288 296 312 315 320 333 336 351 360 364 370 378 390 416 420 432 444 448 455 468 480 481 504 518 520 540 546 555 560 576 585 592 624 630 666 672 702 720 728 740 756 777 780 819 832 840 864 888 910 936 945 960 962 999 1008 1036 1040 1080 1092 1110 1120 1170 1184 1248 1260 1295 1332 1344 1365 1404 1440 1443 1456 1480 1512 1554 1560 1638 1665 1680 1728 1755 1776 1820 1872 1890 1924 1998 2016 2072 2080 2160 2184 2220 2240 2331 2340 2368 2405 2457 2496 2520 2590 2664 2730 2808 2880 2886 2912 2960 3024 3108 3120 3276 3330 3360 3367 3510 3552 3640 3744 3780 3848 3885 3996 4032 4095 4144 4160 4320 4329 4368 4440 4662 4680 4733 4810 4914 4995 5040 5180 5328 5460 5616 5772 5824 5920 6048 6216 6240 6552 6660 6720 6734 6993 7020 7104 7215 7280 7488 7560 7696 7770 7992 8190 8288 8640 8658 8736 8880 9324 9360 9466 9620 9828 9990 10080 10101 10360 10656 10920 11232 11544 11655 11840 12096 12285 12432 12480 12987 13104 13320 13468 13986 14040 14199 14430 14560 15120 15392 15540 15984 16380 16576 16835 17316 17472 17760 18648 18720 18932 19240 19656 19980 20160 20202 20720 21312 21645 21840 22464 23088 23310 23665 24570 24864 25974 26208 26640 26936 27972 28080 28398 28860 29120 30240 30303 30784 31080 31968 32760 33131 33670 34632 34965 35520 37296 37440 37864 38480 39312 39960 40404 41440 42597 43290 43680 46176 46620 47330 49140 49728 50505 51948 52416 53280 53872 55944 56160 56796 57720 60480 60606 61529 62160 63936 64935 65520 66262 67340 69264 69930 70995 74592 75728 76960 78624 79920 80808 82880 85194 86580 87360 90909 92352 93240 94660 98280 99393 101010 103896 106560 107744 111888 112320 113592 115440 121212 123058 124320 127791 129870 131040 132524 134680 138528 139860 141990 149184 151456 151515 153920 157248 159840 161616 165655 170388 173160 175121 181818 184587 186480 189320 196560 198786 202020 207792 212985 215488 223776 227184 230880 242424 246116 248640 255582 259740 262080 265048 269360 277056 279720 283980 298179 302912 303030 307645 319680 323232 331310 340776 346320 350242 363636 369174 372960 378640 393120 397572 404040 415584 425970 430703 447552 454368 454545 461760 484848 492232 496965 511164 519480 525363 530096 538720 553761 559440 567960 596358 606060 615290 638955 646464 662620 681552 692640 700484 727272 738348 745920 757280 786240 795144 808080 831168 851940 861406 875605 894537 908736 909090 922935 969696 984464 993930 1022328 1038960 1050726 1060192 1077440 1107522 1118880 1135920 1192716 1212120 1225847 1230580 1277910 1292109 1325240 1363104 1385280 1400968 1454544 1476696 1490895 1514560 1576089 1590288 1616160 1661283 1703880 1722812 1751210 1789074 1818180 1845870 1939392 1968928 1987860 2044656 2077920 2101452 2120384 2153515 2215044 2237760 2271840 2276573 2385432 2424240 2451694 2461160 2555820 2584218 2626815 2650480 2726208 2768805 2801936 2909088 2953392 2981790 3152178 3180576 3232320 3322566 3407760 3445624 3502420 3578148 3636360 3677541 3691740 3876327 3937856 3975720 4089312 4155840 4202904 4307030 4430088 4472685 4543680 4553146 4728267 4770864 4848480 4903388 4922320 5111640 5168436 5253630 5300960 5537610 5603872 5818176 5906784 5963580 6129235 6304356 6361152 6460545 6645132 6815520 6829719 6891248 7004840 7156296 7272720 7355082 7383480 7752654 7880445 7951440 8178624 8306415 8405808 8614060 8860176 8945370 9106292 9456534 9541728 9696960 9806776 9844640 10223280 10336872 10507260 10601920 11032623 11075220 11207744 11382865 11628981 11813568 11927160 12258470 12608712 12921090 13290264 13631040 13659438 13782496 14009680 14312592 14545440 14710164 14766960 15505308 15760890 15902880 15936011 16612830 16811616 17228120 17720352 17890740 18212584 18387705 18913068 19083456 19381635 19613552 19689280 20446560 20489157 20673744 21014520 22065246 22150440 22765730 23257962 23641335 23854320 24516940 25217424 25842180 26580528 27318876 27564992 28019360 28625184 29090880 29420328 29533920 31010616 31521780 31805760 31872022 33097869 33225660 33623232 34148595 34456240 35440704 35781480 36425168 36775410 37826136 38763270 39227104 40893120 40978314 41347488 42029040 44130492 44300880 45531460 46515924 47282670 47708640 47808033 49033880 50434848 51684360 53161056 54637752 55163115 56038720 57250368 58144905 58840656 59067840 61467471 62021232 63043560 63744044 66195738 66451320 68297190 68912480 71562960 72850336 73550820 75652272 77526540 78454208 79680055 81956628 82694976 84058080 88260984 88601760 91062920 93031848 94565340 95417280 95616066 98067760 100869696 102445785 103368720 106322112 109275504 110326230 116289810 117681312 122934942 124042464 126087120 127488088 132391476 132902640 136594380 137824960 143125920 143424099 145700672 147101640 151304544 155053080 159360110 163913256 165489345 168116160 176521968 177203520 182125840 186063696 189130680 191232132 196135520 204891570 206737440 218551008 220652460 232579620 235362624 239040165 245869884 248084928 252174240 254976176 264782952 265805280 273188760 286251840 286848198 294203280 302609088 307337355 310106160 318720220 327826512 330978690 353043936 364251680 372127392 378261360 382464264 392271040 409783140 413474880 430272297 437102016 441304920 465159240 478080330 491739768 504348480 509952352 529565904 531610560 546377520 573696396 588406560 614674710 620212320 637440440 655653024 661957380 706087872 717120495 728503360 744254784 756522720 764928528 819566280 860544594 882609840 930318480 956160660 983479536 1019904704 1059131808 1092755040 1147392792 1176813120 1229349420 1240424640 1274880880 1311306048 1323914760 1434240990 1513045440 1529857056 1639132560 1721089188 1765219680 1860636960 1912321320 1966959072 2118263616 2151361485 2185510080 2294785584 2458698840 2549761760 2647829520 2868481980 3059714112 3278265120 3442178376 3530439360 3721273920 3824642640 3933918144 4302722970 4589571168 4917397680 5099523520 5295659040 5736963960 6556530240 6884356752 7649285280 8605445940 9179142336 9834795360 10591318080 11473927920 13768713504 15298570560 17210891880 19669590720 22947855840 27537427008 34421783760 45895711680 68843567520 137687135040
• Sum of all divisors σ(n): 614108113920
• Sum of proper divisors (its aliquot sum) s(n): 476420978880
• 137687135040 is an abundant number, because the sum of its proper divisors (476420978880) is greater than itself. Its abundance is 338733843840

Bases of 137687135040

• Binary: 10000000001110110010101111001101000000₂
• Hexadecimal: 0x200ECAF340
• Base-36: 1R93D5C0

Squares and roots of 137687135040

• 137687135040 squared (137687135040²) is 18957747155523195801600
• 137687135040 cubed (137687135040³) is 2610237892656698142187260248064000
• The square root of 137687135040 is 371062.1713944983
• The cube root of 137687135040 is 5163.7410404411

Scales and comparisons

• 137,687,135,040 seconds is equal to 4,378 years, 1 week, 2 days, 2 hours, 24 minutes.
• To count from 1 to 137,687,135,040 would take you about eight thousand, seven hundred fifty-six 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 137687135040 cubic inches would be around 430.3 feet tall.

Recreational maths with 137687135040

• 137687135040 backwards is 040531786731
• 137687135040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137687135040's digits is 45
• More coming soon!