106507599079200400

Names of 106507599079200400

• Cardinal: 106507599079200400 can be written as One hundred six quadrillion, five hundred seven trillion, five hundred ninety-nine billion, seventy-nine million, two hundred thousand, four hundred.

Scientific notation

• Scientific notation: 1.065075990792004 × 10¹⁷

Factors of 106507599079200400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2056

Divisors of 106507599079200400

• Number of divisors d(n): 405
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 361 380 400 475 601 722 760 950 1202 1429 1444 1520 1805 1900 2404 2858 2888 3005 3610 3800 4808 5716 5776 6010 7145 7220 7600 9025 9616 11419 11432 12020 14290 14440 15025 18050 22838 22864 24040 27151 28580 28880 30050 35725 36100 45676 48080 54302 57095 57160 60100 71450 72200 91352 108604 114190 114320 120200 135755 142900 144400 182704 216961 217208 228380 240400 271510 285475 285800 361201 433922 434416 456760 515869 543020 570950 571600 678775 722402 858829 867844 913520 1031738 1084805 1086040 1141900 1357550 1444804 1717658 1735688 1806005 2042041 2063476 2169610 2172080 2283800 2579345 2715100 2889608 3435316 3471376 3612010 4084082 4126952 4294145 4339220 4567600 5158690 5424025 5430200 5779216 6862819 6870632 7224020 8168164 8253904 8588290 8678440 9030025 10210205 10317380 10848050 10860400 12896725 13725638 13741264 14448040 16317751 16336328 17176580 17356880 18060050 20420410 20634760 21470725 21696100 25793450 27451276 28896080 32635502 32672656 34314095 34353160 36120100 38798779 40840820 41269520 42941450 43392200 51051025 51586900 54902552 65271004 68628190 68706320 72240200 77597558 81588755 81681640 85882900 86784400 102102050 103173800 109805104 130393561 130542008 137256380 144480400 155195116 163177510 163363280 171570475 171765800 193993895 204204100 206347600 260787122 261084016 274512760 310037269 310390232 326355020 343140950 343531600 387987790 407943775 408408200 516156229 521574244 549025520 620074538 620780464 651967805 652710040 686281900 737176801 775975580 815887550 816816400 969969475 1032312458 1043148488 1227266641 1240149076 1303935610 1305420080 1372563800 1474353602 1550186345 1551951160 1631775100 1939938950 2064624916 2086296976 2454533282 2480298152 2580781145 2607871220 2745127600 2948707204 3100372690 3103902320 3259839025 3263550200 3685884005 3879877900 4129249832 4909066564 4960596304 5161562290 5215742440 5897414408 6136333205 6200745380 6519678050 6527100400 7371768010 7750931725 7759755800 8258499664 9806968351 9818133128 10323124580 10431484880 11794828816 12272666410 12401490760 12903905725 13039356100 14743536020 15501863450 15519511600 18429420025 19613936702 19636266256 20646249160 23318066179 24545332820 24802981520 25807811450 26078712200 29487072040 30681666025 31003726900 36858840050 39227873404 41292498320 46636132358 49034841755 49090665640 51615622900 52157424400 58974144080 61363332050 62007453800 73717680100 78455746808 93272264716 98069683510 98181331280 103231245800 116590330895 122726664100 124014907600 147435360200 156911493616 186332398669 186544529432 196139367020 206462491600 233180661790 245174208775 245453328200 294870720400 372664797338 373089058864 392278734040 443043257401 466361323580 490348417550 490906656400 582951654475 737587251241 745329594676 784557468080 886086514802 931661993345 932722647160 980696835100 1165903308950 1475174502482 1490659189352 1772173029604 1863323986690 1865445294320 1961393670200 2215216287005 2331806617900 2950349004964 2981318378704 3544346059208 3687936256205 3726647973380 3922787340400 4430432574010 4658309966725 4663613235800 5900698009928 7088692118416 7375872512410 7453295946760 8860865148020 9316619933450 9327226471600 11076081435025 11801396019856 14014157773579 14751745024820 14906591893520 17721730296040 18439681281025 18633239866900 22152162870050 28028315547158 29503490049640 35443460592080 36879362562050 37266479733800 44304325740100 56056631094316 59006980099280 70070788867895 73758725124100 74532959467600 88608651480200 112113262188632 140141577735790 147517450248200 177217302960400 224226524377264 266268997698001 280283155471580 295034900496400 350353944339475 532537995396002 560566310943160 700707888678950 1065075990792004 1121132621886320 1331344988490005 1401415777357900 2130151981584008 2662689976980010 2802831554715800 4260303963168016 5325379953960020 5605663109431600 6656724942450025 10650759907920040 13313449884900050 21301519815840080 26626899769800100 53253799539600200 106507599079200400
• Sum of all divisors σ(n): 270700467471246033
• Sum of proper divisors (its aliquot sum) s(n): 164192868392045633
• 106507599079200400 is an abundant number, because the sum of its proper divisors (164192868392045633) is greater than itself. Its abundance is 57685269312845233

Bases of 106507599079200400

• Binary: 101111010011001000001100011011000111111101101011010010000₂
• Hexadecimal: 0x17A6418D8FED690
• Base-36: T4PSJJN1F9S

Squares and roots of 106507599079200400

• 106507599079200400 squared (106507599079200400²) is 11343868661615689893951903360160000
• 106507599079200400 cubed (106507599079200400³) is 1208208215418469526880809134247622182726016064000000
• 106507599079200400 is a perfect square number. Its square root is 326355020
• The cube root of 106507599079200400 is 474016.5789675531

Scales and comparisons

• 106,507,599,079,200,400 seconds is equal to 3,386,612,201 years, 4 weeks, 2 days, 10 hours, 46 minutes, 40 seconds.
• To count from 1 to 106,507,599,079,200,400 would take you about ten billion, one hundred fifty-nine million, eight hundred thirty-six thousand, six hundred three 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 106507599079200400 cubic inches would be around 39501.4 feet tall.

Recreational maths with 106507599079200400

• 106507599079200400 backwards is 004002970995705601
• The number of decimal digits it has is: 18
• The sum of 106507599079200400's digits is 64
• More coming soon!