120983128
120,983,128 is an even composite number composed of six prime numbers multiplied together.
120983128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 120983128:
23 × 7 × 23 × 29 × 41 × 79
(2 × 2 × 2 × 7 × 23 × 29 × 41 × 79)See below for interesting mathematical facts about the number 120983128 from the Numbermatics database.
Names of 120983128
- Cardinal: 120983128 can be written as One hundred twenty million, nine hundred eighty-three thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.20983128 × 108
Factors of 120983128
Divisors of 120983128
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 7 8 14 23 28 29 41 46 56 58 79 82 92 116 158 161 164 184 203 232 287 316 322 328 406 553 574 632 644 667 812 943 1106 1148 1189 1288 1334 1624 1817 1886 2212 2291 2296 2378 2668 3239 3634 3772 4424 4582 4669 4756 5336 6478 6601 7268 7544 8323 9164 9338 9512 12719 12956 13202 14536 16037 16646 18328 18676 22673 25438 25912 26404 27347 32074 33292 37352 45346 50876 52693 52808 54694 64148 66584 74497 90692 93931 101752 105386 109388 128296 148994 181384 187862 191429 210772 218776 297988 368851 375724 382858 421544 521479 595976 657517 737702 751448 765716 1042958 1315034 1475404 1531432 2085916 2160413 2630068 2950808 4171832 4320826 5260136 8641652 15122891 17283304 30245782 60491564 120983128
- Sum of all divisors σ(n): 290304000
- Sum of proper divisors (its aliquot sum) s(n): 169320872
- 120983128 is an abundant number, because the sum of its proper divisors (169320872) is greater than itself. Its abundance is 48337744
Bases of 120983128
- Binary: 1110011011000001110010110002
- Hexadecimal: 0x7360E58
- Base-36: 20136G
Squares and roots of 120983128
- 120983128 squared (1209831282) is 14636917260664384
- 120983128 cubed (1209831283) is 1770820034472368534513152
-
The
square root of 120983128 is 10999.2330641731 -
The
cube root of 120983128 is 494.5857541689
Scales and comparisons
How big is 120983128?- 120,983,128 seconds is equal to 3 years, 44 weeks, 6 hours, 25 minutes, 28 seconds.
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To count from 1 to 120,983,128 would take you about five 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 120983128 cubic inches would be around 41.2 feet tall.
Recreational maths with 120983128
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