148393827972
148,393,827,972 is an even composite number composed of six prime numbers multiplied together.
What does the number 148393827972 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 324 divisors.
148393827972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 148393827972:
22 × 32 × 132 × 23 × 732 × 199
(2 × 2 × 3 × 3 × 13 × 13 × 23 × 73 × 73 × 199)See below for interesting mathematical facts about the number 148393827972 from the Numbermatics database.
Names of 148393827972
- Cardinal: 148393827972 can be written as One hundred forty-eight billion, three hundred ninety-three million, eight hundred twenty-seven thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.48393827972 × 1011
Factors of 148393827972
Divisors of 148393827972
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 73 78 92 117 138 146 156 169 199 207 219 234 276 292 299 338 398 414 438 468 507 597 598 657 676 796 828 876 897 949 1014 1194 1196 1314 1521 1679 1791 1794 1898 2028 2388 2587 2628 2691 2847 3042 3358 3582 3588 3796 3887 4577 5037 5174 5329 5382 5694 6084 6716 7164 7761 7774 8541 9154 10074 10348 10658 10764 11388 11661 12337 13731 14527 15111 15522 15548 15987 17082 18308 20148 21316 21827 23283 23322 24674 27462 29054 30222 31044 31974 33631 34164 34983 37011 41193 43581 43654 46566 46644 47961 49348 54924 58108 59501 60444 63948 65481 67262 69277 69966 74022 82386 87162 87308 93132 95922 100893 111033 119002 122567 130743 130962 134524 138554 139932 148044 164772 174324 178503 188851 191844 196443 201786 207831 222066 238004 245134 261486 261924 277108 283751 302679 334121 357006 367701 377702 392886 403572 415662 444132 490268 522972 535509 566553 567502 605358 623493 668242 714012 735402 755404 773513 785772 831324 851253 900601 1002363 1060471 1071018 1103103 1133106 1135004 1210716 1246986 1336484 1470804 1547026 1593371 1699659 1702506 1801202 2004726 2120942 2142036 2206206 2266212 2320539 2455063 2493972 2553759 2701803 3007089 3094052 3181413 3186742 3399318 3405012 3602404 4009452 4241884 4343573 4412412 4641078 4780113 4910126 5107518 5403606 6014178 6362826 6373484 6798636 6961617 7365189 8105409 8687146 9282156 9544239 9560226 9820252 10215036 10807212 12028356 12725652 13030719 13786123 13923234 14340339 14730378 16210818 17374292 19088478 19120452 20713823 22095567 24390833 26061438 27572246 27846468 28680678 29460756 32421636 38176956 39092157 41358369 41427646 44191134 48781666 52122876 55144492 56466449 57361356 62141469 73172499 78184314 82716738 82855292 88382268 97563332 112932898 124075107 124282938 146344998 156368628 165433476 169399347 179219599 186424407 219517497 225865796 248150214 248565876 292689996 317080829 338798694 358439198 372848814 439034994 496300428 508198041 537658797 634161658 677597388 716878396 745697628 878069988 951242487 1016396082 1075317594 1268323316 1612976391 1902484974 2032792164 2150635188 2853727461 3225952782 3804969948 4122050777 5707454922 6451905564 8244101554 11414909844 12366152331 16488203108 24732304662 37098456993 49464609324 74196913986 148393827972
- Sum of all divisors σ(n): 431885563200
- Sum of proper divisors (its aliquot sum) s(n): 283491735228
- 148393827972 is an abundant number, because the sum of its proper divisors (283491735228) is greater than itself. Its abundance is 135097907256
Bases of 148393827972
- Binary: 100010100011001111011000011110100001002
- Hexadecimal: 0x228CF61E84
- Base-36: 1W65UQH0
Squares and roots of 148393827972
- 148393827972 squared (1483938279722) is 22020728180183529632784
- 148393827972 cubed (1483938279723) is 3267740149388327315715113227434048
-
The
square root of 148393827972 is 385219.1947086749 -
The
cube root of 148393827972 is 5294.2601676143
Scales and comparisons
How big is 148393827972?- 148,393,827,972 seconds is equal to 4,718 years, 24 weeks, 1 day, 3 hours, 46 minutes, 12 seconds.
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To count from 1 to 148,393,827,972 would take you about nine thousand, four hundred thirty-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 148393827972 cubic inches would be around 441.2 feet tall.
Recreational maths with 148393827972
- 148393827972 backwards is 279728393841
- The number of decimal digits it has is: 12
- The sum of 148393827972's digits is 63
- More coming soon!
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