137438510939541760

Names of 137438510939541760

• Cardinal: 137438510939541760 can be written as One hundred thirty-seven quadrillion, four hundred thirty-eight trillion, five hundred ten billion, nine hundred thirty-nine million, five hundred forty-one thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 1.3743851093954176 × 10¹⁷

Factors of 137438510939541760

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 30796

Divisors of 137438510939541760

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 128 130 136 160 170 208 221 256 260 272 320 340 416 442 520 544 640 680 832 884 1040 1088 1105 1280 1360 1664 1768 2080 2176 2210 2720 3037 3328 3536 4160 4352 4420 5440 6074 7072 8191 8320 8840 10880 12148 14144 15185 16382 16640 17680 19531 21760 24296 28288 30370 32764 35360 39062 39481 40955 48592 51629 56576 60740 65528 70720 78124 78962 81910 97184 97655 103258 106483 121480 131056 139247 141440 156248 157924 163820 194368 195310 197405 206516 212966 242960 253903 258145 262112 278494 282880 312496 315848 327640 332027 388736 390620 394810 413032 425932 485920 507806 516290 524224 532415 556988 624992 631696 655280 664054 671177 696235 777472 781240 789620 826064 851864 971840 1015612 1032580 1048448 1064830 1113976 1249984 1263392 1269515 1310560 1328108 1342354 1392470 1562480 1579240 1652128 1660135 1703728 1810211 1943680 2031224 2065160 2096896 2129660 2227952 2499968 2526784 2539030 2621120 2656216 2684708 2784940 3124960 3158480 3304256 3320270 3355885 3407456 3620422 3887360 4062448 4130320 4259320 4316351 4455904 4999936 5053568 5078060 5242240 5312432 5369416 5569880 6249920 6316960 6608512 6640540 6711770 6814912 7240844 8124896 8260640 8518640 8632702 8911808 9051055 10107136 10156120 10484480 10624864 10738832 11139760 12499840 12633920 13217024 13281080 13423540 13629824 14481688 16249792 16521280 17037280 17265404 17823616 18102110 20312240 21249728 21477664 21581755 22279520 24876067 24999680 25267840 26562160 26847080 27259648 28963376 32499584 33042560 34074560 34530808 35647232 36204220 40624480 42499456 42955328 43163510 44559040 49752134 50535680 53124320 53694160 57926752 59315647 64999168 66085120 68149120 69061616 72408440 81248960 84998912 85910656 86327020 89118080 99504268 106248640 107388320 115853504 118631294 124380335 136298240 138123232 144816880 159978421 162497920 171821312 172654040 178236160 199008536 212497280 214776640 231707008 237262588 248760670 276246464 289633760 296578235 319956842 323388871 324995840 345308080 398017072 422893139 424994560 429553280 463414016 474525176 497521340 552492928 579267520 593156470 639913684 646777742 690616160 771103411 796034144 799892105 845786278 859106560 949050352 995042680 1008365999 1104985856 1158535040 1186312940 1279827368 1293555484 1381232320 1542206822 1592068288 1599784210 1616944355 1691572556 1898100704 1990085360 2016731998 2079719473 2114465695 2317070080 2372625880 2559654736 2587110968 2719633157 2762464640 3084413644 3184136576 3199568420 3233888710 3383145112 3796201408 3855517055 3980170720 4033463996 4159438946 4228931390 4745251760 5041829995 5119309472 5174221936 5439266314 5497610807 5524929280 6168827288 6368273152 6399136840 6467777420 6766290224 7592402816 7711034110 7960341440 8066927992 8318877892 8457862780 9490503520 10083659990 10238618944 10348443872 10398597365 10878532628 10995221614 12337654576 12798273680 12935554840 13108757987 13532580448 13598165785 15184805632 15422068220 15920682880 16133855984 16637755784 16915725560 18981007040 20167319980 20477237888 20696887744 20797194730 21757065256 21990443228 24675309152 25596547360 25871109680 26217515974 27065160896 27196331570 27488054035 30844136440 31841365760 32267711968 33275511568 33831451120 35355231041 37962014080 40334639960 40954475776 41393775488 41594389460 43514130512 43980886456 49350618304 51193094720 51742219360 52435031948 54130321792 54392663140 54976108070 61688272880 64535423936 65543789935 66551023136 67662902240 70710462082 75924028160 80669279920 82787550976 83188778920 87028261024 87961772912 98701236608 102386189440 103484438720 104870063896 108260643584 108785326280 109952216140 123376545760 129070847872 131087579870 133102046272 135325804480 141420924164 161338559840 166377557840 174056522048 175923545824 176776155205 197402473216 204772378880 206968877440 209740127792 217570652560 219904432280 246753091520 258141695744 262175159740 266204092544 270651608960 282841848328 322677119680 332755115680 348113044096 351847091648 353552310410 413937754880 419480255584 435141305120 439808864560 485854464577 493506183040 524350319480 532408185088 541303217920 565683696656 645354239360 665510231360 696226088192 703694183296 707104620820 838960511168 870282610240 879617729120 971708929154 987012366080 1048700638960 1131367393312 1290708478720 1331020462720 1407388366592 1414209241640 1677921022336 1740565220480 1759235458240 1943417858308 2097401277920 2262734786624 2429272322885 2662040925440 2828418483280 3355842044672 3481130440960 3518470916480 3886835716616 4194802555840 4525469573248 4858544645770 5656836966560 6316108039501 7036941832960 7773671433232 8259525897809 8389605111680 9050939146496 9717089291540 11313673933120 12632216079002 15547342866464 16519051795618 16779210223360 19434178583080 22627347866240 25264432158004 31094685732928 31580540197505 33038103591236 38868357166160 41297629489045 45254695732480 50528864316008 62189371465856 63161080395010 66076207182472 77736714332320 82595258978090 101057728632016 107373836671517 124378742931712 126322160790020 132152414364944 155473428664640 165190517956180 202115457264032 214747673343034 252644321580040 264304828729888 310946857329280 330381035912360 404230914528064 429495346686068 505288643160080 528609657459776 536869183357585 621893714658560 660762071824720 808461829056128 858990693372136 1010577286320160 1057219314919552 1073738366715170 1321524143649440 1616923658112256 1717981386744272 2021154572640320 2114438629839104 2147476733430340 2643048287298880 3435962773488544 4042309145280640 4294953466860680 5286096574597760 6871925546977088 8084618290561280 8589906933721360 10572193149195520 13743851093954176 17179813867442720 27487702187908352 34359627734885440 68719255469770880 137438510939541760
• Sum of all divisors σ(n): 375575384100962304
• Sum of proper divisors (its aliquot sum) s(n): 238136873161420544
• 137438510939541760 is an abundant number, because the sum of its proper divisors (238136873161420544) is greater than itself. Its abundance is 100698362221878784

Bases of 137438510939541760

• Binary: 111101000010001111001100011110111000000101001000100000000₂
• Hexadecimal: 0x1E84798F7029100
• Base-36: 11L9VWAG7IF4

Squares and roots of 137438510939541760

• 137438510939541760 squared (137438510939541760²) is 18889344289278540037093918783897600
• 137438510939541760 cubed (137438510939541760³) is 2596123351742779296468241564401583876096210763776000
• The square root of 137438510939541760 is 370727003.2511008767
• The cube root of 137438510939541760 is 516063.1081542639

Scales and comparisons

• 137,438,510,939,541,760 seconds is equal to 4,370,119,522 years, 33 weeks, 5 days, 16 hours, 42 minutes, 40 seconds.
• To count from 1 to 137,438,510,939,541,760 would take you about thirteen billion, one hundred ten million, three hundred fifty-eight thousand, five hundred sixty-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 137438510939541760 cubic inches would be around 43005.3 feet tall.

Recreational maths with 137438510939541760

• 137438510939541760 backwards is 067145939015834731
• The number of decimal digits it has is: 18
• The sum of 137438510939541760's digits is 76
• More coming soon!