101609669928501504

Names of 101609669928501504

• Cardinal: 101609669928501504 can be written as One hundred one quadrillion, six hundred nine trillion, six hundred sixty-nine billion, nine hundred twenty-eight million, five hundred one thousand, five hundred four.

Scientific notation

• Scientific notation: 1.01609669928501504 × 10¹⁷

Factors of 101609669928501504

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 33690923829

Divisors of 101609669928501504

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 32 33 34 36 42 44 48 51 56 63 64 66 68 72 77 84 88 96 99 102 112 119 126 128 132 136 144 153 154 168 176 187 192 198 204 224 231 238 252 256 264 272 288 306 308 336 352 357 374 384 396 408 448 462 476 504 528 544 561 576 612 616 672 693 704 714 748 768 792 816 896 924 952 1008 1056 1071 1088 1122 1152 1224 1232 1309 1344 1386 1408 1428 1496 1584 1632 1683 1792 1848 1904 2016 2112 2142 2176 2244 2304 2448 2464 2618 2688 2772 2816 2856 2992 3168 3264 3366 3696 3808 3927 4032 4224 4284 4352 4488 4896 4928 5236 5376 5544 5712 5984 6336 6528 6732 7392 7616 7854 8064 8448 8568 8976 9792 9856 10472 11088 11424 11781 11968 12672 13056 13464 14784 15232 15708 16128 17136 17952 19584 19712 20944 22176 22848 23562 23936 25344 26928 29568 30464 31416 34272 35904 39168 41888 44352 45696 47124 47872 53856 59136 62832 68544 71808 83776 88704 91392 94248 107712 125664 137088 143616 167552 177408 188496 215424 251328 274176 335104 376992 430848 502656 753984 1005312 1507968 3015936 33690923789 67381847578 101072771367 134763695156 202145542734 235836466523 269527390312 303218314101 370600161679 404291085468 471672933046 539054780624 572745704413 606436628202 707509399569 741200323358 808582170936 943345866092 1078109561248 1111800485037 1145491408826 1212873256404 1415018799138 1482400646716 1617164341872 1718237113239 1886691732184 2122528198707 2156219122496 2223600970074 2290982817652 2425746512808 2594201131753 2830037598276 2964801293432 3234328683744 3335401455111 3436474226478 3773383464368 4009219930891 4245056397414 4312438244992 4447201940148 4581965635304 4851493025616 5154711339717 5188402263506 5660075196552 5929602586864 6300202748543 6468657367488 6670802910222 6872948452956 7546766928736 7782603395259 8018439861782 8490112794828 8624876489984 8894403880296 9163931270608 9702986051232 10309422679434 10376804527012 11320150393104 11859205173728 12027659792673 12600405497086 12937314734976 13341605820444 13745896905912 15093533857472 15565206790518 16036879723564 16980225589656 17788807760592 18327862541216 18900608245629 19405972102464 20618845358868 20753609054024 22640300786208 23347810185777 23718410347456 24055319585346 25200810994172 25874629469952 26683211640888 27491793811824 30187067714944 31130413581036 32073759447128 33960451179312 35577615521184 36082979378019 36655725082432 37801216491258 38811944204928 41237690717736 41507218108048 44101419239801 45280601572416 46695620371554 47436820694912 48110639170692 50401621988344 53366423281776 54983587623648 56701824736887 60374135429888 62260827162072 64147518894256 67920902358624 71155231042368 72165958756038 73311450164864 75602432982516 77623888409856 82475381435472 83014436216096 88202838479602 90561203144832 93391240743108 94873641389824 96221278341384 100803243976688 106732846563552 109967175247296 113403649473774 124521654324144 128295037788512 132304257719403 135841804717248 142310462084736 144331917512076 146622900329728 151204865965032 164950762870944 166028872432192 176405676959204 181122406289664 186782481486216 192442556682768 201606487953376 213465693127104 219934350494592 226807298947548 249043308648288 256590075577024 264608515438806 271683609434496 284620924169472 288663835024152 302409731930064 329901525741888 332057744864384 352811353918408 373564962972432 384885113365536 396912773158209 403212975906752 426931386254208 439868700989184 453614597895096 498086617296576 513180151154048 529217030877612 543367218868992 577327670048304 604819463860128 659803051483776 664115489728768 705622707836816 747129925944864 769770226731072 793825546316418 806425951813504 853862772508416 907229195790192 996173234593152 1026360302308096 1058434061755224 1154655340096608 1209638927720256 1319606102967552 1411245415673632 1494259851889728 1539540453462144 1587651092632836 1612851903627008 1814458391580384 1992346469186304 2116868123510448 2309310680193216 2419277855440512 2822490831347264 2988519703779456 3079080906924288 3175302185265672 3628916783160768 4233736247020896 4618621360386432 4838555710881024 5644981662694528 5977039407558912 6350604370531344 7257833566321536 8467472494041792 9237242720772864 11289963325389056 12701208741062688 14515667132643072 16934944988083584 25402417482125376 33869889976167168 50804834964250752 101609669928501504
• Sum of all divisors σ(n): 386741618041484160
• Sum of proper divisors (its aliquot sum) s(n): 285131948112982656
• 101609669928501504 is an abundant number, because the sum of its proper divisors (285131948112982656) is greater than itself. Its abundance is 183522278184481152

Bases of 101609669928501504

• Binary: 101101000111111010111010011011001110101010100000100000000₂
• Hexadecimal: 0x168FD74D9D54100
• Base-36: RSHMDYFHVK0

Squares and roots of 101609669928501504

• 101609669928501504 squared (101609669928501504²) is 10324525022979022836999394930262016
• 101609669928501504 cubed (101609669928501504³) is 1049071579753452916332606736668486568870960970072064
• The square root of 101609669928501504 is 318762717.2812113923
• The cube root of 101609669928501504 is 466636.1141034895

Scales and comparisons

• 101,609,669,928,501,504 seconds is equal to 3,230,873,204 years, 19 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
• To count from 1 to 101,609,669,928,501,504 would take you about nine billion, six hundred ninety-two million, six hundred nineteen thousand, six hundred thirteen 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 101609669928501504 cubic inches would be around 38886.3 feet tall.

Recreational maths with 101609669928501504

• 101609669928501504 backwards is 405105829966906101
• 101609669928501504 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 101609669928501504's digits is 72
• More coming soon!