137338597971635076

Names of 137338597971635076

• Cardinal: 137338597971635076 can be written as One hundred thirty-seven quadrillion, three hundred thirty-eight trillion, five hundred ninety-seven billion, nine hundred seventy-one million, six hundred thirty-five thousand and seventy-six.

Scientific notation

• Scientific notation: 1.37338597971635076 × 10¹⁷

Factors of 137338597971635076

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 625

Divisors of 137338597971635076

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 361 486 513 601 684 722 729 972 1026 1083 1202 1444 1458 1539 1803 2052 2166 2404 2916 3078 3249 3606 4332 4617 5409 6156 6498 7212 9234 9747 10818 11419 12996 13851 16227 18468 19494 21636 22838 27702 29241 32454 34257 38988 45676 48681 55404 58482 64908 68514 87723 97362 102771 116964 137028 146043 175446 194724 205542 216961 263169 292086 308313 350892 361201 411084 433922 438129 526338 584172 616626 650883 722402 867844 876258 924939 1052676 1083603 1233252 1301766 1444804 1752516 1849878 1952649 2167206 2603532 2774817 3250809 3699756 3905298 4334412 5549634 5857947 6501618 6862819 7810596 8324451 9752427 11099268 11715894 13003236 13725638 16648902 17573841 19504854 20588457 23431788 27451276 29257281 33297804 35147682 39009708 41176914 52721523 58514562 61765371 70295364 82353828 87771843 105443046 117029124 123530742 130393561 158164569 175543686 185296113 210886092 217081801 247061484 260787122 263315529 316329138 351087372 370592226 391180683 434163602 521574244 526631058 555888339 632658276 651245403 741184452 782361366 868327204 1053262116 1111776678 1173542049 1302490806 1564722732 1667665017 1953736209 2223553356 2347084098 2604981612 3335330034 3520626147 3907472418 4124554219 4694168196 5002995051 5861208627 6670660068 7041252294 7814944836 8249108438 10005990102 10561878441 11722417254 12373662657 14082504588 16498216876 17583625881 20011980204 21123756882 23444834508 24747325314 31685635323 35167251762 37120987971 42247513764 49494650628 52750877643 63371270646 70334503524 74241975942 78366530161 95056905969 105501755286 111362963913 126742541292 130466162401 148483951884 156733060322 158252632929 190113811938 211003510572 222725927826 235099590483 260932324802 313466120644 316505265858 334088891739 380227623876 391398487203 445451855652 470199180966 521864649604 633010531716 668177783478 705298771449 782796974406 940398361932 1002266675217 1174195461609 1336355566956 1410597542898 1565593948812 2004533350434 2115896314347 2348390923218 2478857085619 2821195085796 3006800025651 3522586384827 4009066700868 4231792628694 4696781846436 4957714171238 6013600051302 6347688943041 7045172769654 7436571256857 8463585257388 9915428342476 10567759154481 12027200102604 12695377886082 14090345539308 14873142513714 19043066829123 21135518308962 22309713770571 25390755772164 29746285027428 31703277463443 38086133658246 42271036617924 44619427541142 47098284626761 57129200487369 63406554926886 66929141311713 76172267316492 89238855082284 94196569253522 95109832390329 114258400974738 126813109853772 133858282623426 141294853880283 188393138507044 190219664780658 200787423935139 228516801949476 267716565246852 282589707760566 380439329561316 401574847870278 423884561640849 565179415521132 602362271805417 803149695740556 847769123281698 1204724543610834 1271653684922547 1695538246563396 1807086815416251 2409449087221668 2543307369845094 3614173630832502 3814961054767641 5086614739690188 7228347261665004 7629922109535282 11444883164302923 15259844219070564 22889766328605846 34334649492908769 45779532657211692 68669298985817538 137338597971635076
• Sum of all divisors σ(n): 380946762696361155
• Sum of proper divisors (its aliquot sum) s(n): 243608164724726079
• 137338597971635076 is an abundant number, because the sum of its proper divisors (243608164724726079) is greater than itself. Its abundance is 106269566753091003

Bases of 137338597971635076

• Binary: 111100111111011001011101000101010000011001010101110000100₂
• Hexadecimal: 0x1E7ECBA2A0CAB84
• Base-36: 11KAGWWMSK90

Squares and roots of 137338597971635076

• 137338597971635076 squared (137338597971635076²) is 18861890492814406211731464913525776
• 137338597971635076 cubed (137338597971635076³) is 2590465595377643532996687365408930402021222791718976
• 137338597971635076 is a perfect square number. Its square root is 370592226
• The cube root of 137338597971635076 is 515938.0245904695

Scales and comparisons

• 137,338,597,971,635,076 seconds is equal to 4,366,942,599 years, 16 weeks, 5 days, 4 hours, 24 minutes, 36 seconds.
• To count from 1 to 137,338,597,971,635,076 would take you about thirteen billion, one hundred million, eight hundred twenty-seven thousand, seven hundred ninety-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 137338597971635076 cubic inches would be around 42994.8 feet tall.

Recreational maths with 137338597971635076

• 137338597971635076 backwards is 670536179795833731
• The number of decimal digits it has is: 18
• The sum of 137338597971635076's digits is 90
• More coming soon!