468728832
468,728,832 is an even composite number composed of five prime numbers multiplied together.
468728832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 468728832:
210 × 3 × 112 × 13 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 97)See below for interesting mathematical facts about the number 468728832 from the Numbermatics database.
Names of 468728832
- Cardinal: 468728832 can be written as Four hundred sixty-eight million, seven hundred twenty-eight thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 4.68728832 × 108
Factors of 468728832
Divisors of 468728832
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 97 104 121 128 132 143 156 176 192 194 208 242 256 264 286 291 312 352 363 384 388 416 429 484 512 528 572 582 624 704 726 768 776 832 858 968 1024 1056 1067 1144 1164 1248 1261 1408 1452 1536 1552 1573 1664 1716 1936 2112 2134 2288 2328 2496 2522 2816 2904 3072 3104 3146 3201 3328 3432 3783 3872 4224 4268 4576 4656 4719 4992 5044 5632 5808 6208 6292 6402 6656 6864 7566 7744 8448 8536 9152 9312 9438 9984 10088 11264 11616 11737 12416 12584 12804 13312 13728 13871 15132 15488 16896 17072 18304 18624 18876 19968 20176 23232 23474 24832 25168 25608 27456 27742 30264 30976 33792 34144 35211 36608 37248 37752 39936 40352 41613 46464 46948 49664 50336 51216 54912 55484 60528 61952 68288 70422 73216 74496 75504 80704 83226 92928 93896 99328 100672 102432 109824 110968 121056 123904 136576 140844 146432 148992 151008 152581 161408 166452 185856 187792 201344 204864 219648 221936 242112 273152 281688 297984 302016 305162 322816 332904 371712 375584 402688 409728 439296 443872 457743 484224 546304 563376 604032 610324 645632 665808 751168 805376 819456 887744 915486 968448 1092608 1126752 1208064 1220648 1291264 1331616 1502336 1610752 1638912 1775488 1830972 1936896 2253504 2416128 2441296 2663232 3004672 3277824 3550976 3661944 3873792 4507008 4832256 4882592 5326464 6009344 7101952 7323888 9014016 9765184 10652928 12018688 14203904 14647776 18028032 19530368 21305856 29295552 36056064 39060736 42611712 58591104 78121472 117182208 156242944 234364416 468728832
- Sum of all divisors σ(n): 1494113488
- Sum of proper divisors (its aliquot sum) s(n): 1025384656
- 468728832 is an abundant number, because the sum of its proper divisors (1025384656) is greater than itself. Its abundance is 556655824
Bases of 468728832
- Binary: 110111111000000111100000000002
- Hexadecimal: 0x1BF03C00
- Base-36: 7R2HHC
Squares and roots of 468728832
- 468728832 squared (4687288322) is 219706717948084224
- 468728832 cubed (4687288323) is 102982873286358954953146368
-
The
square root of 468728832 is 21650.1462350719 -
The
cube root of 468728832 is 776.7964331749
Scales and comparisons
How big is 468728832?- 468,728,832 seconds is equal to 14 years, 47 weeks, 2 hours, 27 minutes, 12 seconds.
-
To count from 1 to 468,728,832 would take you about twenty-two 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 468728832 cubic inches would be around 64.7 feet tall.
Recreational maths with 468728832
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