137852517529780224

Names of 137852517529780224

• Cardinal: 137852517529780224 can be written as One hundred thirty-seven quadrillion, eight hundred fifty-two trillion, five hundred seventeen billion, five hundred twenty-nine million, seven hundred eighty thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.37852517529780224 × 10¹⁷

Factors of 137852517529780224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 11605

Divisors of 137852517529780224

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1024 1236 1536 1648 2048 2472 3072 3296 4096 4944 6144 6592 8192 9888 10609 11497 12288 13184 16384 19776 21218 22994 24576 26368 31827 32768 34491 39552 42436 45988 49152 52736 63654 68982 79104 84872 91976 98304 105472 127308 137964 158208 169744 183952 210944 254616 275928 316416 339488 367904 421888 509232 551856 632832 678976 735808 843776 1018464 1103712 1184191 1265664 1357952 1471616 1687552 2036928 2207424 2368382 2531328 2715904 2943232 3375104 3552573 4073856 4414848 4736764 5062656 5431808 5886464 7105146 8147712 8829696 9473528 10125312 10863616 11772928 14210292 16295424 17659392 18947056 21727232 23545856 28420584 32590848 35318784 37894112 43454464 47091712 56841168 65181696 70637568 75788224 86908928 94183424 113682336 121971673 130363392 132181009 141275136 151576448 173817856 188366848 227364672 243943346 260726784 264362018 282550272 303152896 347635712 365915019 376733696 396543027 454729344 487886692 521453568 528724036 565100544 606305792 731830038 793086054 909458688 975773384 1042907136 1057448072 1130201088 1212611584 1463660076 1586172108 1818917376 1951546768 2114896144 2425223168 2927320152 3172344216 3637834752 3903093536 4229792288 4850446336 5854640304 6344688432 7275669504 7806187072 8459584576 9700892672 11709280608 12689376864 13614643927 14551339008 15612374144 16919169152 19401785344 23418561216 25378753728 27229287854 29102678016 31224748288 33838338304 38803570688 40843931781 46837122432 50757507456 54458575708 58205356032 62449496576 67676676608 81687863562 93674244864 101515014912 108917151416 116410712064 124898993152 135353353216 163375727124 187348489728 203030029824 217834302832 249797986304 270706706432 326751454248 374696979456 406060059648 435668605664 499595972608 541413412864 653502908496 749393958912 812120119296 871337211328 999191945216 1082826825728 1307005816992 1402308324481 1498787917824 1624240238592 1742674422656 1998383890432 2165653651456 2614011633984 2804616648962 2997575835648 3248480477184 3485348845312 3996767780864 4206924973443 4331307302912 5228023267968 5609233297924 5995151671296 6496960954368 6970697690624 8413849946886 10456046535936 11218466595848 11990303342592 12993921908736 13941395381248 16827699893772 20912093071872 22436933191696 27882790762496 33655399787544 41824186143744 44873866383392 55765581524992 67310799575088 83648372287488 89747732766784 111531163049984 134621599150176 167296744574976 179495465533568 223062326099968 269243198300352 334593489149952 358990931067136 446124652199936 538486396600704 669186978299904 717981862134272 1076972793201408 1338373956599808 1435963724268544 2153945586402816 2871927448537088 4307891172805632 5743854897074176 8615782345611264 11487709794148352 17231564691222528 22975419588296704 34463129382445056 45950839176593408 68926258764890112 137852517529780224
• Sum of all divisors σ(n): 371236986768490740
• Sum of proper divisors (its aliquot sum) s(n): 233384469238710516
• 137852517529780224 is an abundant number, because the sum of its proper divisors (233384469238710516) is greater than itself. Its abundance is 95531951708930292

Bases of 137852517529780224

• Binary: 111101001110000000010001001100010110000011000000000000000₂
• Hexadecimal: 0x1E9C02262C18000
• Base-36: 11PCN0AIPBEO

Squares and roots of 137852517529780224

• 137852517529780224 squared (137852517529780224²) is 19003316589298363951114701741490176
• 137852517529780224 cubed (137852517529780224³) is 2619655033250216054064629847623775830672847535079424
• The square root of 137852517529780224 is 371284954.6235077703
• The cube root of 137852517529780224 is 516580.7683908139

Scales and comparisons

• 137,852,517,529,780,224 seconds is equal to 4,383,283,651 years, 31 weeks, 6 days, 6 hours, 30 minutes, 24 seconds.
• To count from 1 to 137,852,517,529,780,224 would take you about thirteen billion, one hundred forty-nine million, eight hundred fifty thousand, nine hundred fifty-four 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 137852517529780224 cubic inches would be around 43048.4 feet tall.

Recreational maths with 137852517529780224

• 137852517529780224 backwards is 422087925715258731
• The number of decimal digits it has is: 18
• The sum of 137852517529780224's digits is 78
• More coming soon!