137519939360610700

Names of 137519939360610700

• Cardinal: 137519939360610700 can be written as One hundred thirty-seven quadrillion, five hundred nineteen trillion, nine hundred thirty-nine billion, three hundred sixty million, six hundred ten thousand, seven hundred.

Scientific notation

• Scientific notation: 1.375199393606107 × 10¹⁷

Factors of 137519939360610700

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 386

Divisors of 137519939360610700

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 10 19 20 25 38 50 76 95 100 167 190 193 334 361 380 386 475 668 722 772 835 950 965 1444 1670 1805 1900 1930 3173 3340 3610 3667 3860 4175 4825 6346 6859 7220 7334 8350 9025 9650 12692 13718 14668 15865 16700 18050 18335 19300 27436 27889 31730 32231 34295 36100 36670 37249 55778 60287 63460 64462 68590 69673 73340 74498 79325 91675 111556 120574 128924 137180 139346 139445 148996 158650 161155 171475 183350 186245 241148 278692 278890 301435 317300 322310 342950 348365 366700 372490 529891 557780 602870 612389 644620 685900 696730 697225 707731 744980 805775 931225 1059782 1145453 1205740 1224778 1323787 1393460 1394450 1415462 1507175 1611550 1741825 1862450 2119564 2290906 2449556 2647574 2649455 2788900 2830924 3014350 3061945 3223100 3483650 3538655 3724900 4581812 5295148 5298910 5382577 5727265 6028700 6123890 6220583 6618935 6967300 7077310 7189057 10067929 10597820 10765154 11454530 11635391 12247780 12441166 13237870 13247275 13446889 14154620 14378114 15309725 17693275 20135858 21530308 22909060 23270782 24882332 26475740 26494550 26893778 26912885 28636325 28756228 30619450 31102915 33094675 35386550 35945285 40271716 46541564 50339645 52989100 53787556 53825770 57272650 58176955 61238900 62205830 66189350 67234445 70773100 71890570 100679290 102268963 107651540 114545300 116353910 118191077 124411660 132378700 134468890 134564425 136592083 143781140 155514575 179726425 191290651 201358580 204537926 221072429 232707820 236382154 251698225 255490891 268937780 269128850 273184166 290884775 311029150 336172225 359452850 382581302 409075852 442144858 472764308 503396450 510981782 511344815 538257700 546368332 581769550 590955385 622058300 672344450 682960415 718905700 765162604 884289716 956453255 1006792900 1021963564 1022689630 1038837361 1105362145 1163539100 1181910770 1200572519 1277454455 1344688900 1365920830 1912906510 1943110297 2045379260 2077674722 2210724290 2245630463 2363821540 2401145038 2554908910 2556724075 2595249577 2731841660 2954776925 3414802075 3825813020 3886220594 4155349444 4421448580 4491260926 4782266275 4802290076 5109817820 5113448150 5190499154 5194186805 5526810725 5909553850 6002862595 6387272275 6829604150 7772441188 8982521852 9564532550 9715551485 10226896300 10380998308 10388373610 11053621450 11228152315 11819107700 12005725190 12774544550 12976247885 13659208300 19129065100 19431102970 19737909859 20776747220 22107242900 22456304630 22810877861 24011450380 25549089100 25952495770 25970934025 30014312975 36919095643 38862205940 39475819718 42666978797 44912609260 45621755722 48577757425 49309741963 51904991540 51941868050 56140761575 60028625950 64881239425 73838191286 78951639436 85333957594 91243511444 97155514850 98619483926 98689549295 103883736100 112281523150 114054389305 120057251900 129762478850 147676382572 170667915188 184595478215 194311029700 197238967852 197379098590 200495610673 213334893985 224563046300 228108778610 246548709815 259524957700 369190956430 375020287321 394758197180 400991221346 426669787970 433406679359 456217557220 493097419630 493447746475 570271946525 738381912860 750040574642 801982442692 853339575940 866813358718 922977391075 986194839260 986895492950 1002478053365 1066674469925 1140543893050 1232743549075 1500081149284 1733626717436 1845954782150 1875101436605 1973790985900 2004956106730 2133348939850 2167033396795 2281087786100 2465487098150 3691909564300 3750202873210 3809416602787 4009912213460 4266697879700 4334066793590 4930974196300 5012390266825 7125385459099 7500405746420 7618833205574 8234726907821 8668133587180 9375507183025 10024780533650 10835166983975 14250770918198 15237666411148 16469453815642 18751014366050 19047083013935 20049561067300 21670333967950 28501541836396 32938907631284 35626927295495 37502028732100 38094166027870 41173634539105 43340667935900 71253854590990 72378915452953 76188332055740 82347269078210 95235415069675 142507709181980 144757830905906 164694538156420 178134636477475 190470830139350 205868172695525 289515661811812 356269272954950 361894577264765 380941660278700 411736345391050 712538545909900 723789154529530 823472690782100 1375199393606107 1447578309059060 1809472886323825 2750398787212214 3618945772647650 5500797574424428 6875996968030535 7237891545295300 13751993936061070 27503987872122140 34379984840152675 68759969680305350 137519939360610700
• Sum of all divisors σ(n): 318542613708340000
• Sum of proper divisors (its aliquot sum) s(n): 181022674347729300
• 137519939360610700 is an abundant number, because the sum of its proper divisors (181022674347729300) is greater than itself. Its abundance is 43502734987118600

Bases of 137519939360610700

• Binary: 111101000100100011010011111111111000111110101100110001100₂
• Hexadecimal: 0x1E891A7FF1F598C
• Base-36: 11M2QZZNOYVG

Squares and roots of 137519939360610700

• 137519939360610700 squared (137519939360610700²) is 18911733721746044063534676954490000
• 137519939360610700 cubed (137519939360610700³) is 2600740474618532488721047071148254906942507043000000
• The square root of 137519939360610700 is 370836809.6084997601
• The cube root of 137519939360610700 is 516165.0056198385

Scales and comparisons

• 137,519,939,360,610,700 seconds is equal to 4,372,708,694 years, 29 weeks, 2 days, 21 hours, 11 minutes, 40 seconds.
• To count from 1 to 137,519,939,360,610,700 would take you about thirteen billion, one hundred eighteen million, one hundred twenty-six thousand and eighty-three 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 137519939360610700 cubic inches would be around 43013.8 feet tall.

Recreational maths with 137519939360610700

• 137519939360610700 backwards is 007016063939915731
• The number of decimal digits it has is: 18
• The sum of 137519939360610700's digits is 70
• More coming soon!