12904476144
12,904,476,144 is an even composite number composed of seven prime numbers multiplied together.
12904476144 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 12904476144:
24 × 3 × 72 × 17 × 29 × 31 × 359
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 17 × 29 × 31 × 359)See below for interesting mathematical facts about the number 12904476144 from the Numbermatics database.
Names of 12904476144
- Cardinal: 12904476144 can be written as Twelve billion, nine hundred four million, four hundred seventy-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.2904476144 × 1010
Factors of 12904476144
Divisors of 12904476144
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 31 34 42 48 49 51 56 58 62 68 84 87 93 98 102 112 116 119 124 136 147 168 174 186 196 203 204 217 232 238 248 272 294 336 348 357 359 372 392 406 408 434 464 476 493 496 527 588 609 651 696 714 718 744 784 812 816 833 868 899 952 986 1054 1077 1176 1218 1302 1392 1421 1428 1436 1479 1488 1519 1581 1624 1666 1736 1798 1904 1972 2108 2154 2352 2436 2499 2513 2604 2697 2842 2856 2872 2958 3038 3162 3248 3332 3451 3472 3596 3689 3944 4216 4263 4308 4557 4872 4998 5026 5208 5394 5684 5712 5744 5916 6076 6103 6293 6324 6664 6902 7192 7378 7539 7888 8432 8526 8616 9114 9744 9996 10052 10353 10411 10416 10788 11067 11129 11368 11832 12152 12206 12586 12648 13328 13804 14384 14756 15078 15283 17052 17232 17591 18228 18309 18879 19992 20104 20706 20822 21576 22134 22258 22736 23664 24157 24304 24412 25172 25296 25823 27608 29512 30156 30566 31233 33387 34104 35182 36456 36618 37758 39984 40208 41412 41644 42721 43152 44051 44268 44516 45849 48314 48824 50344 51646 52773 55216 59024 60312 61132 62466 66774 68208 70364 72471 72877 72912 73236 75516 77469 77903 82824 83288 85442 88102 88536 89032 91698 96628 97648 100688 103292 105546 106981 120624 122264 124932 128163 132153 133548 140728 144942 145754 146472 151032 154938 155806 165648 166576 170884 176204 176987 177072 178064 183396 189193 193256 206584 211092 213962 218631 233709 244528 249864 256326 264306 267096 281456 289884 291508 292944 299047 302064 309876 311612 320943 322741 341768 352408 353974 366792 378386 386512 413168 422184 427924 437262 467418 499728 510139 512652 528612 530961 534192 545321 567579 579768 583016 598094 619752 623224 641886 645482 683536 704816 707948 733584 748867 756772 844368 855848 874524 897141 934836 968223 1020278 1025304 1057224 1061922 1090642 1135158 1159536 1166032 1196188 1238909 1239504 1246448 1283772 1290964 1324351 1415896 1497734 1513544 1530417 1635963 1711696 1749048 1794282 1869672 1936446 2040556 2050608 2114448 2123844 2181284 2246601 2259187 2270316 2392376 2477818 2567544 2581928 2648702 2831792 2995468 3027088 3060834 3271926 3498096 3588564 3716727 3739344 3872892 3973053 4081112 4247688 4362568 4493202 4518374 4540632 4784752 4955636 5135088 5163856 5297404 5486597 5990936 6121668 6543852 6777561 7177128 7433454 7745784 7946106 8162224 8495376 8672363 8725136 8986404 9036748 9081264 9270457 9911272 10594808 10973194 11981872 12243336 13087704 13555122 14354256 14866908 15491568 15814309 15892212 16459791 17344726 17972808 18073496 18540914 19822544 21189616 21946388 24486672 26017089 26175408 27110244 27811371 29733816 31628618 31784424 32919582 34689452 35945616 36146992 37081828 38406179 43892776 47442927 52034178 54220488 55622742 59467632 63257236 63568848 65839164 69378904 74163656 76812358 87785552 94885854 104068356 108440976 111245484 115218537 126514472 131678328 138757808 148327312 153624716 189771708 208136712 222490968 230437074 253028944 263356656 268843253 307249432 379543416 416273424 444981936 460874148 537686506 614498864 759086832 806529759 921748296 1075373012 1613059518 1843496592 2150746024 3226119036 4301492048 6452238072 12904476144
- Sum of all divisors σ(n): 43968614400
- Sum of proper divisors (its aliquot sum) s(n): 31064138256
- 12904476144 is an abundant number, because the sum of its proper divisors (31064138256) is greater than itself. Its abundance is 18159662112
Bases of 12904476144
- Binary: 11000000010010101010101101111100002
- Hexadecimal: 0x3012AADF0
- Base-36: 5XEZPIO
Squares and roots of 12904476144
- 12904476144 squared (129044761442) is 166525504551065108736
- 12904476144 cubed (129044761443) is 2148924400846783125474477993984
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The
square root of 12904476144 is 113597.8703321501 -
The
cube root of 12904476144 is 2345.5613299421
Scales and comparisons
How big is 12904476144?- 12,904,476,144 seconds is equal to 410 years, 16 weeks, 5 days, 8 hours, 42 minutes, 24 seconds.
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To count from 1 to 12,904,476,144 would take you about eight hundred twenty 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 12904476144 cubic inches would be around 195.5 feet tall.
Recreational maths with 12904476144
- 12904476144 backwards is 44167440921
- 12904476144 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12904476144's digits is 42
- More coming soon!
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