442143072
442,143,072 is an even composite number composed of six prime numbers multiplied together.
442143072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 442143072:
25 × 32 × 72 × 17 × 19 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 19 × 97)See below for interesting mathematical facts about the number 442143072 from the Numbermatics database.
Names of 442143072
- Cardinal: 442143072 can be written as Four hundred forty-two million, one hundred forty-three thousand and seventy-two.
Scientific notation
- Scientific notation: 4.42143072 × 108
Factors of 442143072
Divisors of 442143072
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 28 32 34 36 38 42 48 49 51 56 57 63 68 72 76 84 96 97 98 102 112 114 119 126 133 136 144 147 152 153 168 171 194 196 204 224 228 238 252 266 272 288 291 294 304 306 323 336 342 357 388 392 399 408 441 456 476 504 532 544 582 588 608 612 646 672 679 684 714 776 784 798 816 833 873 882 912 931 952 969 1008 1064 1071 1164 1176 1197 1224 1292 1358 1368 1428 1552 1568 1596 1632 1649 1666 1746 1764 1824 1843 1862 1904 1938 2016 2037 2128 2142 2261 2328 2352 2394 2448 2499 2584 2716 2736 2793 2856 2907 3104 3192 3298 3332 3492 3528 3686 3724 3808 3876 4074 4256 4284 4522 4656 4704 4753 4788 4896 4947 4998 5168 5432 5472 5529 5586 5712 5814 6111 6384 6596 6664 6783 6984 7056 7372 7448 7497 7752 8148 8379 8568 9044 9312 9506 9576 9894 9996 10336 10864 11058 11172 11424 11543 11628 12222 12768 12901 13192 13328 13566 13968 14112 14259 14744 14841 14896 14994 15504 15827 16296 16587 16758 17136 18088 19012 19152 19788 19992 20349 21728 22116 22344 23086 23256 24444 25802 26384 26656 27132 27936 28518 29488 29682 29792 29988 31008 31331 31654 32592 33174 33516 34272 34629 36176 38024 38304 38703 39576 39984 40698 42777 44232 44688 46172 46512 47481 48888 51604 52768 54264 57036 58976 59364 59976 62662 63308 65184 66348 67032 69258 72352 76048 77406 79152 79968 80801 81396 85554 88464 89376 90307 92344 93024 93993 94962 97776 103208 103887 108528 114072 116109 118728 119952 125324 126616 132696 134064 138516 142443 152096 154812 158304 161602 162792 171108 176928 180614 184688 187986 189924 195552 206416 207774 217056 219317 228144 232218 237456 239904 242403 250648 253232 265392 268128 270921 277032 281979 284886 309624 323204 325584 342216 361228 369376 375972 379848 412832 415548 438634 456288 464436 474912 484806 501296 506464 530784 541842 554064 563958 569772 619248 646408 651168 657951 684432 722456 727209 751944 759696 812763 831096 877268 928872 969612 1002592 1083684 1108128 1127916 1139544 1238496 1292816 1315902 1368864 1444912 1454418 1503888 1519392 1535219 1625526 1662192 1754536 1857744 1939224 1973853 2167368 2255832 2279088 2585632 2631804 2889824 2908836 3007776 3070438 3251052 3324384 3509072 3715488 3878448 3947706 4334736 4511664 4558176 4605657 5263608 5817672 6140876 6502104 7018144 7756896 7895412 8669472 9023328 9211314 10527216 11635344 12281752 13004208 13816971 15790824 18422628 21054432 23270688 24563504 26008416 27633942 31581648 36845256 49127008 55267884 63163296 73690512 110535768 147381024 221071536 442143072
- Sum of all divisors σ(n): 1646976240
- Sum of proper divisors (its aliquot sum) s(n): 1204833168
- 442143072 is an abundant number, because the sum of its proper divisors (1204833168) is greater than itself. Its abundance is 762690096
Bases of 442143072
- Binary: 110100101101010010001011000002
- Hexadecimal: 0x1A5A9160
- Base-36: 7B8NS0
Squares and roots of 442143072
- 442143072 squared (4421430722) is 195490496117597184
- 442143072 cubed (4421430723) is 86434768500238492192309248
-
The
square root of 442143072 is 21027.1983868513 -
The
cube root of 442143072 is 761.8233413609
Scales and comparisons
How big is 442143072?- 442,143,072 seconds is equal to 14 years, 3 weeks, 9 hours, 31 minutes, 12 seconds.
-
To count from 1 to 442,143,072 would take you about twenty-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 442143072 cubic inches would be around 63.5 feet tall.
Recreational maths with 442143072
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