106318085120
106,318,085,120 is an even composite number composed of six prime numbers multiplied together.
106318085120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 106318085120:
210 × 5 × 13 × 23 × 37 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 23 × 37 × 1877)See below for interesting mathematical facts about the number 106318085120 from the Numbermatics database.
Names of 106318085120
- Cardinal: 106318085120 can be written as One hundred six billion, three hundred eighteen million, eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0631808512 × 1011
Factors of 106318085120
Divisors of 106318085120
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 26 32 37 40 46 52 64 65 74 80 92 104 115 128 130 148 160 184 185 208 230 256 260 296 299 320 368 370 416 460 481 512 520 592 598 640 736 740 832 851 920 962 1024 1040 1184 1196 1280 1472 1480 1495 1664 1702 1840 1877 1924 2080 2368 2392 2405 2560 2944 2960 2990 3328 3404 3680 3754 3848 4160 4255 4736 4784 4810 5120 5888 5920 5980 6656 6808 7360 7508 7696 8320 8510 9385 9472 9568 9620 11063 11776 11840 11960 13312 13616 14720 15016 15392 16640 17020 18770 18944 19136 19240 22126 23552 23680 23920 24401 27232 29440 30032 30784 33280 34040 37540 37888 38272 38480 43171 44252 47360 47840 48802 54464 55315 58880 60064 61568 66560 68080 69449 75080 76544 76960 86342 88504 94720 95680 97604 108928 110630 117760 120128 122005 123136 136160 138898 150160 153088 153920 172684 177008 189440 191360 195208 215855 217856 221260 240256 244010 246272 272320 277796 300320 306176 307840 345368 347245 354016 382720 390416 431710 435712 442520 480512 488020 492544 544640 555592 561223 600640 615680 690736 694490 708032 765440 780832 863420 871424 885040 902837 961024 976040 1089280 1111184 1122446 1201280 1231360 1381472 1388980 1416064 1530880 1561664 1597327 1726840 1770080 1805674 1922048 1952080 2178560 2222368 2244892 2402560 2462720 2762944 2777960 2806115 2832128 3123328 3194654 3453680 3540160 3611348 3904160 4357120 4444736 4489784 4514185 4805120 5525888 5555920 5612230 5664256 6246656 6389308 6907360 7080320 7222696 7808320 7986635 8889472 8979568 9028370 9610240 11051776 11111840 11224460 11328512 12493312 12778616 13814720 14160640 14445392 15616640 15973270 17778944 17959136 18056740 20765251 22103552 22223680 22448920 24986624 25557232 27629440 28321280 28890784 31233280 31946540 35557888 35918272 36113480 41530502 44207104 44447360 44897840 51114464 55258880 56642560 57781568 62466560 63893080 71115776 71836544 72226960 83061004 88894720 89795680 102228928 103826255 110517760 115563136 124933120 127786160 143673088 144453920 166122008 177789440 179591360 204457856 207652510 221035520 231126272 255572320 287346176 288907840 332244016 355578880 359182720 408915712 415305020 462252544 511144640 574692352 577815680 664488032 718365440 817831424 830610040 924505088 1022289280 1155631360 1328976064 1436730880 1635662848 1661220080 2044578560 2311262720 2657952128 2873461760 3322440160 4089157120 4622525440 5315904256 6644880320 8178314240 10631808512 13289760640 21263617024 26579521280 53159042560 106318085120
- Sum of all divisors σ(n): 294501529728
- Sum of proper divisors (its aliquot sum) s(n): 188183444608
- 106318085120 is an abundant number, because the sum of its proper divisors (188183444608) is greater than itself. Its abundance is 81865359488
Bases of 106318085120
- Binary: 11000110000010000110100111100000000002
- Hexadecimal: 0x18C10D3C00
- Base-36: 1CUB1JI8
Squares and roots of 106318085120
- 106318085120 squared (1063180851202) is 11303535223583565414400
- 106318085120 cubed (1063180851203) is 1201770220057875739161267273728000
-
The
square root of 106318085120 is 326064.5413411277 -
The
cube root of 106318085120 is 4737.3526541707
Scales and comparisons
How big is 106318085120?- 106,318,085,120 seconds is equal to 3,380 years, 30 weeks, 3 days, 9 hours, 25 minutes, 20 seconds.
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To count from 1 to 106,318,085,120 would take you about six thousand, seven hundred sixty-one 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 106318085120 cubic inches would be around 394.8 feet tall.
Recreational maths with 106318085120
- 106318085120 backwards is 021580813601
- The number of decimal digits it has is: 12
- The sum of 106318085120's digits is 35
- More coming soon!
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