472138128
472,138,128 is an even composite number composed of five prime numbers multiplied together.
472138128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 472138128:
24 × 32 × 73 × 112 × 79
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 79)See below for interesting mathematical facts about the number 472138128 from the Numbermatics database.
Names of 472138128
- Cardinal: 472138128 can be written as Four hundred seventy-two million, one hundred thirty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.72138128 × 108
Factors of 472138128
Divisors of 472138128
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 49 56 63 66 72 77 79 84 88 98 99 112 121 126 132 144 147 154 158 168 176 196 198 231 237 242 252 264 294 308 316 336 343 363 392 396 441 462 474 484 504 528 539 553 588 616 632 686 693 711 726 784 792 847 869 882 924 948 968 1008 1029 1078 1089 1106 1176 1232 1264 1372 1386 1422 1452 1584 1617 1659 1694 1738 1764 1848 1896 1936 2058 2156 2178 2212 2352 2541 2607 2744 2772 2844 2904 3087 3234 3318 3388 3476 3528 3696 3773 3792 3871 4116 4312 4356 4424 4851 4977 5082 5214 5488 5544 5688 5808 5929 6083 6174 6468 6636 6776 6952 7056 7546 7623 7742 7821 8232 8624 8712 8848 9559 9702 9954 10164 10428 11088 11319 11376 11613 11858 12166 12348 12936 13272 13552 13904 15092 15246 15484 15642 16464 17424 17787 18249 19118 19404 19908 20328 20856 22638 23226 23716 24332 24696 25872 26544 27097 28677 30184 30492 30968 31284 33957 34839 35574 36498 38236 38808 39816 40656 41503 41712 42581 45276 46452 47432 48664 49392 53361 54194 54747 57354 60368 60984 61936 62568 66913 67914 69678 71148 72996 76472 77616 79632 81291 83006 85162 86031 90552 92904 94864 97328 106722 108388 109494 114708 121968 124509 125136 127743 133826 135828 139356 142296 145992 152944 162582 166012 170324 172062 181104 185808 200739 213444 216776 218988 229416 243873 249018 255486 267652 271656 278712 284592 291984 298067 325164 332024 340648 344124 373527 383229 401478 426888 433552 437976 458832 468391 487746 498036 510972 535304 543312 557424 596134 602217 650328 664048 681296 688248 747054 766458 802956 853776 875952 894201 936782 975492 996072 1021944 1070608 1192268 1204434 1300656 1376496 1405173 1494108 1532916 1605912 1788402 1873564 1950984 1992144 2043888 2384536 2408868 2682603 2810346 2988216 3065832 3211824 3278737 3576804 3747128 3901968 4215519 4769072 4817736 5365206 5620692 5976432 6131664 6557474 7153608 7494256 8431038 9635472 9836211 10730412 11241384 13114948 14307216 16862076 19672422 21460824 22482768 26229896 29508633 33724152 39344844 42921648 52459792 59017266 67448304 78689688 118034532 157379376 236069064 472138128
- Sum of all divisors σ(n): 1715168000
- Sum of proper divisors (its aliquot sum) s(n): 1243029872
- 472138128 is an abundant number, because the sum of its proper divisors (1243029872) is greater than itself. Its abundance is 770891744
Bases of 472138128
- Binary: 111000010010001000001100100002
- Hexadecimal: 0x1C244190
- Base-36: 7T3K40
Squares and roots of 472138128
- 472138128 squared (4721381282) is 222914411911344384
- 472138128 cubed (4721381283) is 105246393144043039425073152
-
The
square root of 472138128 is 21728.7396781315 -
The
cube root of 472138128 is 778.6752265873
Scales and comparisons
How big is 472138128?- 472,138,128 seconds is equal to 15 years, 4 days, 13 hours, 28 minutes, 48 seconds.
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To count from 1 to 472,138,128 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 472138128 cubic inches would be around 64.9 feet tall.
Recreational maths with 472138128
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