13977126256624432

Names of 13977126256624432

• Cardinal: 13977126256624432 can be written as Thirteen quadrillion, nine hundred seventy-seven trillion, one hundred twenty-six billion, two hundred fifty-six million, six hundred twenty-four thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.3977126256624432 × 10¹⁶

Factors of 13977126256624432

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 62134

Divisors of 13977126256624432

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 8 11 16 17 22 31 34 44 61 62 68 88 121 122 124 136 176 187 242 244 248 272 331 341 374 484 488 496 527 662 671 682 748 968 976 1037 1054 1324 1331 1342 1364 1496 1891 1936 2057 2074 2108 2648 2662 2684 2728 2992 3641 3751 3782 4114 4148 4216 5296 5324 5368 5456 5627 5797 7282 7381 7502 7564 8228 8296 8432 10261 10648 10736 11254 11407 11594 14564 14762 15004 15128 16456 16592 20191 20522 20801 21296 22508 22627 22814 23188 29128 29524 30008 30256 32147 32912 40051 40382 41044 41261 41602 45016 45254 45628 46376 58256 59048 60016 61681 61897 63767 64294 80102 80764 81191 82088 82522 83204 90032 90508 91256 92752 112871 118096 123362 123794 125477 127534 128588 160204 161528 162382 164176 165044 166408 174437 181016 182512 222101 225742 228811 246724 247588 250954 255068 257176 320408 323056 324764 330088 332816 343247 348874 353617 362032 440561 444202 451484 457622 493448 495176 501908 510136 514352 625921 640816 649528 660176 678491 680867 686494 697748 701437 707234 881122 888404 902968 915244 986896 990352 1003816 1020272 1048577 1241581 1251842 1299056 1356982 1361734 1372988 1380247 1395496 1402874 1414468 1762244 1776808 1805936 1830488 1912111 1918807 2007632 2097154 2443111 2483162 2503684 2516921 2713964 2723468 2745976 2760494 2790992 2805748 2828936 3524488 3553616 3660976 3762541 3775717 3824222 3837614 3889787 4194308 4886222 4966324 5007368 5033842 5427928 5446936 5491952 5520988 5611496 5657872 6885131 7048976 7463401 7489537 7525082 7551434 7648444 7675228 7779574 8388616 9772444 9932648 10014736 10067684 10640657 10855856 10893872 11041976 11222992 11534347 13657391 13770262 14926802 14979074 15050164 15102868 15296888 15350456 15559148 16777232 19544888 19865296 20135368 20416411 21033221 21106877 21281314 22083952 23068694 26874221 27314782 27540524 29853604 29958148 30100328 30205736 30593776 30700912 31118296 32505887 39089776 40270736 40832822 41387951 41532887 42066442 42213754 42562628 42787657 46137388 53748442 54629564 55081048 59707208 59916296 60200656 60411472 62236592 63963197 65011774 75736441 81665644 82097411 82775902 83065774 84132884 84427508 85125256 85575314 92274776 107496884 109259128 110162096 116638771 117047227 119414416 119832592 126877817 127926394 130023548 151472882 163331288 164194822 165551804 166131548 168265768 168855016 170250512 171150628 184549552 214993768 218518256 224580521 231365431 232175647 233277542 234094454 253755634 255852788 260047096 302945764 326662576 328389644 331103608 332263096 336531536 337710032 342301256 347078987 357564757 429987536 449161042 455267461 456861757 462730862 464351294 466555084 468188908 507511268 511705576 520094192 605891528 632908741 656779288 662207216 664526192 684602512 694157974 703595167 715129514 833100851 898322084 910534922 913723514 925461724 928702588 933110168 936377816 1015022536 1023411152 1211783056 1245401071 1265817482 1283026481 1287519497 1313558576 1388315948 1395655987 1407190334 1430259028 1666201702 1796644168 1821069844 1827447028 1850923448 1857405176 1866220336 1872755632 1982859107 2030045072 2470385731 2490802142 2531634964 2545019741 2566052962 2575038994 2776631896 2791311974 2814380668 2860518056 3332403404 3593288336 3642139688 3654894056 3701846896 3714810352 3817868857 3933212327 3965718214 4940771462 4981604284 5007942071 5063269928 5090039482 5132105924 5150077988 5553263792 5582623948 5628761336 5721036112 6664806808 6961996151 7284279376 7309788112 7635737714 7739546837 7866424654 7931436428 9881542924 9963208568 10015884142 10126539856 10180078964 10264211848 10300155976 10759448597 11165247896 11257522672 13329613616 13699411781 13923992302 14113291291 14162714467 15271475428 15479093674 15732849308 15862872856 19763085848 19926417136 20031768284 20360157928 20528423696 20600311952 21171818207 21518897194 21811450177 22330495792 27174243041 27398823562 27847984604 28226582582 28325428934 30542950856 30958187348 31465698616 31725745712 38607433201 39526171696 40063536568 40720315856 41996557427 42343636414 43037794388 43265335597 43622900354 54348486082 54797647124 55695969208 56453165164 56650857868 61085901712 61916374696 62931397232 76581957661 77214866402 80127073136 83993114854 84687272828 85135015207 86075588776 86530671194 87245800708 108696972164 109595294248 111391938416 112906330328 113301715736 118353934567 123832749392 150693529591 153163915322 154429732804 155246204201 167986229708 169374545656 170270030414 172151177552 173061342388 174491601416 217393944328 219190588496 225812660656 226603431472 232890000277 236707869134 239925951947 301387059182 306327830644 308859465608 310492408402 335972459416 338749091312 340540060828 346122684776 348983202832 424681765211 434787888656 461962131697 465780000554 473415738268 479851903894 602774118364 612655661288 617718931216 620984816804 656326364417 671944918832 681080121656 692245369552 842401534271 849363530422 923924263394 931560001108 946831476536 959703807788 1205548236728 1225311322576 1241969633608 1301893280237 1312652728834 1362160243312 1657628825501 1684803068542 1698727060844 1847848526788 1863120002216 1893662953072 1919407615576 2411096473456 2483939267216 2561790003047 2603786560474 2625305457668 2639185471417 3315257651002 3369606137084 3397454121688 3695697053576 3726240004432 3838815231152 4671499417321 5123580006094 5207573120948 5250610915336 5278370942834 6630515302004 6739212274168 6794908243376 7219590008587 7391394107152 9342998834642 10247160012188 10415146241896 10501221830672 10556741885668 13261030604008 13478424548336 14320826082607 14439180017174 18685997669284 20494320024376 20830292483792 21113483771336 26522061208016 28179690033517 28641652165214 28878360034348 37371995338568 40988640048752 42226967542672 51386493590531 56359380067034 57283304330428 57756720068696 74743990677136 79415490094457 102772987181062 112718760134068 114566608660856 115513440137392 158830980188914 205545974362124 225437520268136 229133217321712 317661960377828 411091948724248 450875040536272 635323920755656 822183897448496 873570391039027 1270647841511312 1747140782078054 3494281564156108 6988563128312216 13977126256624432
• Sum of all divisors σ(n): 33190475488468992
• Sum of proper divisors (its aliquot sum) s(n): 19213349231844560
• 13977126256624432 is an abundant number, because the sum of its proper divisors (19213349231844560) is greater than itself. Its abundance is 5236222975220128

Bases of 13977126256624432

• Binary: 110001101010000001111101001101100000011100001100110000₂
• Hexadecimal: 0x31A81F4D81C330
• Base-36: 3TMH75QHL4G

Squares and roots of 13977126256624432

• 13977126256624432 squared (13977126256624432²) is 195360058393620107340963099322624
• 13977126256624432 cubed (13977126256624432³) is 2730572201669149857187758670736515995251968749568
• The square root of 13977126256624432 is 118224896.9406378125
• The cube root of 13977126256624432 is 240882.8954011305

Scales and comparisons

• 13,977,126,256,624,432 seconds is equal to 444,429,380 years, 45 weeks, 1 day, 20 hours, 33 minutes, 52 seconds.
• To count from 1 to 13,977,126,256,624,432 would take you about one billion, three hundred thirty-three million, two hundred eighty-eight thousand, one hundred forty-two 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 13977126256624432 cubic inches would be around 20073.6 feet tall.

Recreational maths with 13977126256624432

• 13977126256624432 backwards is 23442665262177931
• The number of decimal digits it has is: 17
• The sum of 13977126256624432's digits is 70
• More coming soon!