106742414819200
106,742,414,819,200 is an even composite number composed of six prime numbers multiplied together.
106742414819200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 106742414819200:
27 × 52 × 17 × 29 × 1493 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 29 × 1493 × 45319)See below for interesting mathematical facts about the number 106742414819200 from the Numbermatics database.
Names of 106742414819200
- Cardinal: 106742414819200 can be written as One hundred six trillion, seven hundred forty-two billion, four hundred fourteen million, eight hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.067424148192 × 1014
Factors of 106742414819200
Divisors of 106742414819200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 80 85 100 116 128 136 145 160 170 200 232 272 290 320 340 400 425 464 493 544 580 640 680 725 800 850 928 986 1088 1160 1360 1450 1493 1600 1700 1856 1972 2176 2320 2465 2720 2900 2986 3200 3400 3712 3944 4640 4930 5440 5800 5972 6800 7465 7888 9280 9860 10880 11600 11944 12325 13600 14930 15776 18560 19720 23200 23888 24650 25381 27200 29860 31552 37325 39440 43297 45319 46400 47776 49300 50762 54400 59720 63104 74650 78880 86594 90638 92800 95552 98600 101524 119440 126905 149300 157760 173188 181276 191104 197200 203048 216485 226595 238880 253810 298600 315520 346376 362552 394400 406096 432970 453190 477760 507620 597200 634525 692752 725104 736049 770423 788800 812192 865940 906380 955520 1015240 1082425 1132975 1194400 1269050 1314251 1385504 1450208 1472098 1540846 1577600 1624384 1731880 1812760 2030480 2164850 2265950 2388800 2538100 2628502 2771008 2900416 2944196 3081692 3248768 3463760 3625520 3680245 3852115 4060960 4329700 4531900 4777600 5076200 5257004 5542016 5800832 5888392 6163384 6571255 6927520 7251040 7360490 7704230 8121920 8659400 9063800 10152400 10514008 11776784 12326768 13142510 13855040 14502080 14720980 15408460 16243840 17318800 18127600 18401225 19260575 20304800 21028016 22342267 23553568 24653536 26285020 27710080 29004160 29441960 30816920 32856275 34637600 36255200 36802450 38521150 40609600 42056032 44684534 47107136 49307072 52570040 58883920 61633840 65712550 67661267 69275200 72510400 73604900 77042300 81219200 84112064 89369068 94214272 98614144 105140080 111711335 117767840 123267680 131425100 135322534 138550400 145020800 147209800 154084600 168224128 178738136 210280160 223422670 235535680 246535360 262850200 270645068 294419600 308169200 338306335 357476272 420560320 446845340 471071360 493070720 525700400 541290136 558556675 588839200 616338400 676612670 714952544 841120640 893690680 1051400800 1082580272 1117113350 1150241539 1177678400 1232676800 1353225340 1429905088 1691531675 1787381360 1962176743 2102801600 2165160544 2234226700 2300483078 2355356800 2465353600 2706450680 2859810176 3383063350 3574762720 3924353486 4205603200 4330321088 4468453400 4600966156 5412901360 5751207695 6766126700 7149525440 7848706972 8660642176 8936906800 9201932312 9810883715 10825802720 11502415390 13532253400 14299050880 15697413944 17873813600 18403864624 19621767430 21651605440 23004830780 27064506800 28756038475 31394827888 33357004631 35747627200 36807729248 39243534860 43303210880 46009661560 49054418575 54129013600 57512076950 62789655776 66714009262 71495254400 73615458496 78487069720 92019323120 98108837150 108258027200 115024153900 125579311552 133428018524 147230916992 156974139440 166785023155 184038646240 196217674300 216516054400 230048307800 251158623104 266856037048 313948278880 333570046310 368077292480 392435348600 460096615600 533712074096 627896557760 667140092620 736154584960 784870697200 833925115775 920193231200 1067424148192 1255793115520 1334280185240 1569741394400 1667850231550 1840386462400 2134848296384 2668560370480 3139482788800 3335700463100 3680772924800 4269696592768 5337120740960 6278965577600 6671400926200 10674241481920 13342801852400 21348482963840 26685603704800 53371207409600 106742414819200
- Sum of all divisors σ(n): 289025481096000
- Sum of proper divisors (its aliquot sum) s(n): 182283066276800
- 106742414819200 is an abundant number, because the sum of its proper divisors (182283066276800) is greater than itself. Its abundance is 75540651457600
Bases of 106742414819200
- Binary: 110000100010100111001111011011110111111100000002
- Hexadecimal: 0x6114E7B7BF80
- Base-36: 11U4SDRXJ4
Squares and roots of 106742414819200
- 106742414819200 squared (1067424148192002) is 11393943121434167768688640000
- 106742414819200 cubed (1067424148192003) is 1216217003094496414789689284086693888000000
-
The
square root of 106742414819200 is 10331622.0807383387 -
The
cube root of 106742414819200 is 47436.4675742255
Scales and comparisons
How big is 106742414819200?- 106,742,414,819,200 seconds is equal to 3,394,078 years, 31 weeks, 6 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 106,742,414,819,200 would take you about eight million, four hundred eighty-five thousand, one hundred ninety-six 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 106742414819200 cubic inches would be around 3953 feet tall.
Recreational maths with 106742414819200
- 106742414819200 backwards is 002918414247601
- The number of decimal digits it has is: 15
- The sum of 106742414819200's digits is 49
- More coming soon!
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