12468036816
12,468,036,816 is an even composite number composed of seven prime numbers multiplied together.
12468036816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12468036816:
24 × 32 × 19 × 29 × 31 × 37 × 137
(2 × 2 × 2 × 2 × 3 × 3 × 19 × 29 × 31 × 37 × 137)See below for interesting mathematical facts about the number 12468036816 from the Numbermatics database.
Names of 12468036816
- Cardinal: 12468036816 can be written as Twelve billion, four hundred sixty-eight million, thirty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.2468036816 × 1010
Factors of 12468036816
Divisors of 12468036816
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 29 31 36 37 38 48 57 58 62 72 74 76 87 93 111 114 116 124 137 144 148 152 171 174 186 222 228 232 248 261 274 279 296 304 333 342 348 372 411 444 456 464 496 522 548 551 558 589 592 666 684 696 703 744 822 888 899 912 1044 1073 1096 1102 1116 1147 1178 1233 1332 1368 1392 1406 1488 1644 1653 1767 1776 1798 2088 2109 2146 2192 2204 2232 2294 2356 2466 2603 2664 2697 2736 2812 3219 3288 3306 3441 3534 3596 3973 4176 4218 4247 4292 4408 4464 4588 4712 4932 4959 5069 5206 5301 5328 5394 5624 6327 6438 6576 6612 6882 7068 7192 7809 7946 8091 8436 8494 8584 8816 9176 9424 9657 9864 9918 10138 10323 10412 10602 10788 11248 11919 12654 12741 12876 13224 13764 14136 14384 15207 15618 15892 16182 16872 16988 17081 17168 18352 19314 19728 19836 20276 20387 20646 20824 21204 21576 21793 23427 23838 25308 25482 25752 26448 27528 28272 30414 31236 31784 32364 33263 33744 33976 34162 35757 38223 38628 39672 40552 40774 41292 41648 42408 43152 43586 45621 46854 47676 50616 50964 51243 51504 55056 60828 61161 62472 63568 64728 65379 66526 67952 68324 71514 75487 76446 77256 79344 80693 81104 81548 82584 84816 87172 91242 93708 95352 96311 99789 101232 101928 102486 121656 122322 123163 124944 129456 130758 133052 136648 143028 147001 150974 152892 153729 154512 157139 161386 163096 165168 174344 182484 183483 187416 190704 192622 196137 199578 203856 204972 226461 242079 243312 244644 246326 261516 266104 273296 286056 288933 294002 299367 301948 305784 307458 314278 322772 326192 348688 364968 366966 369489 374832 385244 392274 399156 409944 441003 452922 471417 484158 489288 492652 523032 532208 572112 577866 588004 598734 603896 611568 614916 628556 631997 645544 679383 726237 729936 733932 738978 770488 784548 798312 819888 866799 882006 905844 942834 968316 978576 985304 1046064 1108467 1155732 1176008 1197468 1207792 1229832 1257112 1263994 1291088 1323009 1358766 1414251 1452474 1467864 1477956 1540976 1569096 1596624 1733598 1764012 1811688 1885668 1895991 1936632 1970608 2216934 2311464 2340097 2352016 2394936 2459664 2514224 2527988 2646018 2717532 2793019 2828502 2904948 2935728 2955912 2985641 3138192 3467196 3528024 3623376 3771336 3791982 3873264 4433868 4557031 4622928 4680194 4789872 5055976 5292036 5435064 5586038 5657004 5687973 5809896 5911824 5971282 6934392 7020291 7056048 7542672 7583964 8379057 8867736 8956923 9114062 9360388 10111952 10584072 10870128 11172076 11314008 11375946 11619792 11942564 13671093 13868784 14040582 15167928 16758114 17735472 17913846 18228124 18720776 21060873 21168144 22344152 22628016 22751892 23885128 25137171 26870769 27342186 28081164 30335856 33516228 35827692 36456248 37441552 41013279 42121746 44688304 45503784 47770256 50274342 53741538 54684372 56162328 67032456 71655384 72912496 82026558 84243492 86583589 91007568 100548684 107483076 109368744 112324656 134064912 143310768 164053116 168486984 173167178 201097368 214966152 218737488 259750767 328106232 336973968 346334356 402194736 429932304 519501534 656212464 692668712 779252301 1039003068 1385337424 1558504602 2078006136 3117009204 4156012272 6234018408 12468036816
- Sum of all divisors σ(n): 40575974400
- Sum of proper divisors (its aliquot sum) s(n): 28107937584
- 12468036816 is an abundant number, because the sum of its proper divisors (28107937584) is greater than itself. Its abundance is 15639900768
Bases of 12468036816
- Binary: 10111001110010011100100100110100002
- Hexadecimal: 0x2E72724D0
- Base-36: 5Q75AS0
Squares and roots of 12468036816
- 12468036816 squared (124680368162) is 155451942045131417856
- 12468036816 cubed (124680368163) is 1938180536537396851386887786496
-
The
square root of 12468036816 is 111660.3636748511 -
The
cube root of 12468036816 is 2318.8145955699
Scales and comparisons
How big is 12468036816?- 12,468,036,816 seconds is equal to 396 years, 23 weeks, 23 hours, 33 minutes, 36 seconds.
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To count from 1 to 12,468,036,816 would take you about seven hundred ninety-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 12468036816 cubic inches would be around 193.2 feet tall.
Recreational maths with 12468036816
- 12468036816 backwards is 61863086421
- The number of decimal digits it has is: 11
- The sum of 12468036816's digits is 45
- More coming soon!
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