137071316485026432

Names of 137071316485026432

• Cardinal: 137071316485026432 can be written as One hundred thirty-seven quadrillion, seventy-one trillion, three hundred sixteen billion, four hundred eighty-five million, twenty-six thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.37071316485026432 × 10¹⁷

Factors of 137071316485026432

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 140197

Divisors of 137071316485026432

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 257 288 384 514 576 771 1028 1093 1152 1542 2056 2186 2313 3084 3121 3279 4112 4372 4626 6168 6242 6558 8224 8744 9252 9363 9837 12336 12484 13116 16448 17488 18504 18726 19674 24672 24968 26232 28089 32896 34976 37008 37452 39348 49344 49936 52464 56178 69952 74016 74904 78696 98688 99872 104928 112356 135721 139904 148032 149808 157392 199744 209856 224712 271442 280901 296064 299616 314784 399488 407163 419712 449424 542884 561802 599232 629568 802097 814326 842703 898848 1085768 1123604 1198464 1221489 1259136 1604194 1628652 1685406 1797696 2171536 2247208 2406291 2442978 2528109 3208388 3257304 3370812 3411253 3595392 4343072 4494416 4812582 4885956 5056218 6416776 6514608 6741624 6822506 7218873 8686144 8988832 9625164 9771912 10112436 10233759 12833552 13029216 13483248 13645012 14437746 17372288 17977664 19250328 19543824 20224872 20467518 25667104 26058432 26966496 27290024 28875492 30701277 34880297 35955328 38500656 39087648 40449744 40935036 51334208 52116864 53932992 54580048 57750984 61402554 69760594 77001312 78175296 80899488 81870072 102668416 104640891 107865984 109160096 115501968 122805108 139521188 148343053 154002624 156350592 161798976 163740144 209281782 218320192 231003936 245610216 279042376 296686106 308005248 313922673 323597952 327480288 418563564 423585241 436640384 445029159 462007872 491220432 558084752 593372212 627845346 654960576 837127128 847170482 876692021 890058318 924015744 982440864 1116169504 1186744424 1255690692 1270755723 1309921152 1335087477 1674254256 1694340964 1753384042 1780116636 1964881728 2232339008 2373488848 2511381384 2541511446 2630076063 2670174954 3348508512 3388681928 3506768084 3560233272 3812267169 3929763456 4464678016 4746977696 5022762768 5083022892 5260152126 5340349908 6697017024 6777363856 7013536168 7120466544 7624534338 7890228189 9493955392 10045525536 10166045784 10520304252 10680699816 13394034048 13554727712 14027072336 14240933088 15249068676 15780456378 18987910784 20091051072 20332091568 21040608504 21361399632 27109455424 28054144672 28481866176 30498137352 31560912756 38124164621 40182102144 40664183136 42081217008 42722799264 54218910848 56108289344 56963732352 60996274704 63121825512 76248329242 81328366272 84162434016 85445598528 108861406937 112216578688 114372493863 121992549408 126243651024 152496658484 162656732544 168324868032 170891197056 217722813874 228744987726 243985098816 252487302048 304993316968 326584220811 336649736064 343117481589 435445627748 457489975452 462978668413 487970197632 504974604096 609986633936 653168441622 686234963178 870891255496 914979950904 925957336826 979752662433 1009949208192 1219973267872 1306336883244 1372469926356 1388936005239 1741782510992 1829959901808 1851914673652 1959505324866 2439946535744 2612673766488 2744939852712 2777872010478 3483565021984 3659919803616 3703829347304 3919010649732 4166808015717 4879893071488 5225347532976 5489879705424 5555744020956 6967130043968 7319839607232 7407658694608 7838021299464 8333616031434 10450695065952 10979759410848 11111488041912 13934260087936 14639679214464 14815317389216 15676042598928 16667232062868 20901390131904 21959518821696 22222976083824 29630634778432 31352085197856 33334464125736 41802780263808 43919037643392 44445952167648 59261269556864 62704170395712 66668928251472 88891904335296 118985517782141 125408340791424 133337856502944 177783808670592 237971035564282 266675713005888 356956553346423 475942071128564 533351426011776 713913106692846 951884142257128 1070869660039269 1427826213385692 1903768284514256 2141739320078538 2855652426771384 3807536569028512 4283478640157076 5711304853542768 7615073138057024 8566957280314152 11422609707085536 15230146276114048 17133914560628304 22845219414171072 34267829121256608 45690438828342144 68535658242513216 137071316485026432
• Sum of all divisors σ(n): 396463956071011920
• Sum of proper divisors (its aliquot sum) s(n): 259392639585985488
• 137071316485026432 is an abundant number, because the sum of its proper divisors (259392639585985488) is greater than itself. Its abundance is 122321323100959056

Bases of 137071316485026432

• Binary: 111100110111110011010001011010111111111000011001010000000₂
• Hexadecimal: 0x1E6F9A2D7FC3280
• Base-36: 11HNQ5HIO4G0

Squares and roots of 137071316485026432

• 137071316485026432 squared (137071316485026432²) is 18788545802938278893299663738650624
• 137071316485026432 cubed (137071316485026432³) is 2575370708047967887947337018852365705858676653293568
• The square root of 137071316485026432 is 370231436.3813889211
• The cube root of 137071316485026432 is 515603.1096683763

Scales and comparisons

• 137,071,316,485,026,432 seconds is equal to 4,358,443,874 years, 41 weeks, 5 days, 13 hours, 7 minutes, 12 seconds.
• To count from 1 to 137,071,316,485,026,432 would take you about thirteen billion, seventy-five million, three hundred thirty-one thousand, six hundred twenty-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 137071316485026432 cubic inches would be around 42966.9 feet tall.

Recreational maths with 137071316485026432

• 137071316485026432 backwards is 234620584613170731
• The number of decimal digits it has is: 18
• The sum of 137071316485026432's digits is 63
• More coming soon!