106791997996310400

Names of 106791997996310400

• Cardinal: 106791997996310400 can be written as One hundred six quadrillion, seven hundred ninety-one trillion, nine hundred ninety-seven billion, nine hundred ninety-six million, three hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 1.067919979963104 × 10¹⁷

Factors of 106791997996310400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 44675367394

Divisors of 106791997996310400

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 83 90 96 100 120 128 144 150 160 166 180 192 200 225 240 249 288 300 320 332 360 384 400 415 450 480 498 576 600 640 664 720 747 800 830 900 960 996 1152 1200 1245 1328 1440 1494 1600 1660 1800 1920 1992 2075 2400 2490 2656 2880 2988 3200 3320 3600 3735 3984 4150 4800 4980 5312 5760 5976 6225 6640 7200 7470 7968 8300 9600 9960 10624 11952 12450 13280 14400 14940 15936 16600 18675 19920 23904 24900 26560 28800 29880 31872 33200 37350 39840 47808 49800 53120 59760 66400 74700 79680 95616 99600 119520 132800 149400 159360 199200 239040 265600 298800 398400 478080 597600 796800 1195200 2390400 44675367301 89350734602 134026101903 178701469204 223376836505 268052203806 357402938408 402078305709 446753673010 536104407612 670130509515 714805876816 804156611418 893507346020 1072208815224 1116884182525 1340261019030 1429611753632 1608313222836 1787014692040 2010391528545 2144417630448 2233768365050 2680522038060 2859223507264 3216626445672 3350652547575 3574029384080 3708055485983 4020783057090 4288835260896 4467536730100 5361044076120 5718447014528 6433252891344 6701305095150 7148058768160 7416110971966 8041566114180 8577670521792 8935073460200 10051957642725 10722088152240 11124166457949 12866505782688 13402610190300 14296117536320 14832221943932 16083132228360 17155341043584 17870146920400 18540277429915 20103915285450 21444176304480 22248332915898 25733011565376 26805220380600 28592235072640 29664443887864 32166264456720 33372499373847 35740293840800 37080554859830 40207830570900 42888352608960 44496665831796 51466023130752 53610440761200 55620832289745 59328887775728 64332528913440 66744998747694 71480587681600 74161109719660 80415661141800 85776705217920 88993331663592 92701387149575 107220881522400 111241664579490 118657775551456 128665057826880 133489997495388 142961175363200 148322219439320 160831322283600 166862496869235 177986663327184 185402774299150 214441763044800 222483329158980 237315551102912 257330115653760 266979994990776 278104161448725 296644438878640 321662644567200 333724993738470 355973326654368 370805548598300 428883526089600 444966658317960 474631102205824 533959989981552 556208322897450 593288877757280 643325289134400 667449987476940 711946653308736 741611097196600 834312484346175 889933316635920 1067919979963104 1112416645794900 1186577755514560 1286650578268800 1334899974953880 1423893306617472 1483222194393200 1668624968692350 1779866633271840 2135839959926208 2224833291589800 2373155511029120 2669799949907760 2966444388786400 3337249937384700 3559733266543680 4271679919852416 4449666583179600 5339599899815520 5932888777572800 6674499874769400 7119466533087360 8899333166359200 10679199799631040 11865777555145600 13348999749538800 17798666332718400 21358399599262080 26697999499077600 35597332665436800 53395998998155200 106791997996310400
• Sum of all divisors σ(n): 385649386146362520
• Sum of proper divisors (its aliquot sum) s(n): 278857388150052120
• 106791997996310400 is an abundant number, because the sum of its proper divisors (278857388150052120) is greater than itself. Its abundance is 172065390153741720

Bases of 106791997996310400

• Binary: 101111011011001101100000110100001011011001001111110000000₂
• Hexadecimal: 0x17B66C1A16C9F80
• Base-36: T7ILQLRBOG0

Squares and roots of 106791997996310400

• 106791997996310400 squared (106791997996310400²) is 11404530836043964488372013148160000
• 106791997996310400 cubed (106791997996310400³) is 1217912634191667226581627239997979043968548864000000
• The square root of 106791997996310400 is 326790449.6712081089
• The cube root of 106791997996310400 is 474438.1137998323

Scales and comparisons

• 106,791,997,996,310,400 seconds is equal to 3,395,655,206 years, 49 weeks, 16 hours.
• To count from 1 to 106,791,997,996,310,400 would take you about ten billion, one hundred eighty-six million, nine hundred sixty-five thousand, six hundred twenty 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 106791997996310400 cubic inches would be around 39536.5 feet tall.

Recreational maths with 106791997996310400

• 106791997996310400 backwards is 004013699799197601
• The number of decimal digits it has is: 18
• The sum of 106791997996310400's digits is 81
• More coming soon!