13638407328
13,638,407,328 is an even composite number composed of seven prime numbers multiplied together.
13638407328 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13638407328:
25 × 32 × 7 × 13 × 19 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 19 × 61 × 449)See below for interesting mathematical facts about the number 13638407328 from the Numbermatics database.
Names of 13638407328
- Cardinal: 13638407328 can be written as Thirteen billion, six hundred thirty-eight million, four hundred seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3638407328 × 1010
Factors of 13638407328
Divisors of 13638407328
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 61 63 72 76 78 84 91 96 104 112 114 117 122 126 133 144 152 156 168 171 182 183 208 224 228 234 244 247 252 266 273 288 304 312 336 342 364 366 399 416 427 449 456 468 488 494 504 532 546 549 608 624 672 684 728 732 741 793 798 819 854 898 912 936 976 988 1008 1064 1092 1098 1159 1197 1248 1281 1347 1368 1456 1464 1482 1586 1596 1638 1708 1729 1796 1824 1872 1952 1976 2016 2128 2184 2196 2223 2318 2379 2394 2562 2694 2736 2912 2928 2964 3143 3172 3192 3276 3416 3458 3477 3592 3744 3843 3952 4041 4256 4368 4392 4446 4636 4758 4788 5124 5187 5388 5472 5551 5837 5856 5928 6286 6344 6384 6552 6832 6916 6954 7137 7184 7686 7904 8082 8113 8531 8736 8784 8892 9272 9429 9516 9576 10248 10374 10431 10776 11102 11674 11856 12572 12688 12768 13104 13664 13832 13908 14274 14368 15067 15372 15561 16164 16226 16653 17062 17511 17568 17784 18544 18858 19032 19152 20496 20748 20862 21552 22204 23348 23712 24339 25144 25376 25593 26208 27389 27664 27816 28287 28548 30134 30744 31122 32328 32452 33306 34124 35022 35568 37088 37716 38064 38304 40859 40992 41496 41724 43104 44408 45201 46696 48678 49959 50288 51186 52533 54778 55328 55632 56574 57096 59717 60268 61488 62244 64656 64904 66612 68248 70044 71136 73017 75432 76128 76779 81718 82167 82992 83448 88816 90402 93392 97356 99918 100576 102372 105066 105469 109556 110903 111264 113148 114192 119434 120536 122577 122976 124488 129312 129808 133224 135603 136496 140088 146034 150864 153558 163436 164334 165984 166896 177632 179151 180804 186784 191723 194712 199836 204744 210132 210938 219112 221806 226296 228384 238868 241072 245154 246501 248976 259616 266448 271206 272992 280176 292068 301728 307116 316407 326872 328668 332709 333792 356057 358302 361608 367731 383446 389424 399672 409488 420264 421876 438224 443612 452592 477736 482144 490308 493002 497952 520391 532896 537453 542412 560352 575169 584136 614232 632814 653744 657336 665418 712114 716604 723216 735462 766892 776321 778848 799344 818976 840528 843752 876448 887224 905184 949221 955472 980616 986004 998127 1040782 1068171 1074906 1084824 1150338 1168272 1228464 1265628 1307488 1314672 1330836 1424228 1433208 1446432 1470924 1533784 1552642 1561173 1598688 1681056 1687504 1725507 1774448 1898442 1910944 1961232 1972008 1996254 2081564 2136342 2149812 2169648 2300676 2328963 2336544 2456928 2492399 2531256 2629344 2661672 2848456 2866416 2941848 3067568 3105284 3122346 3204513 3375008 3451014 3548896 3642737 3796884 3922464 3944016 3992508 4163128 4272684 4299624 4339296 4601352 4657926 4683519 4984798 5062512 5323344 5696912 5732832 5883696 6135136 6210568 6244692 6409026 6765083 6902028 6986889 7285474 7477197 7593768 7888032 7985016 8326256 8545368 8599248 9202704 9315852 9367038 9969596 10125024 10646688 10928211 11393824 11767392 12421136 12489384 12818052 13530166 13804056 13973778 14570948 14954394 15187536 15970032 16652512 17090736 17198496 18405408 18631704 18734076 19939192 20295249 21856422 22431591 24842272 24978768 25636104 27060332 27608112 27947556 29141896 29908788 30375072 31940064 32784633 34181472 37263408 37468152 39878384 40590498 43712844 44863182 47355581 49957536 51272208 54120664 55216224 55895112 58283792 59817576 60885747 65569266 74526816 74936304 79756768 81180996 87425688 89726364 94711162 102544416 108241328 111790224 116567584 119635152 121771494 131138532 142066743 149872608 162361992 174851376 179452728 189422324 216482656 223580448 239270304 243542988 262277064 284133486 324723984 349702752 358905456 378844648 426200229 487085976 524554128 568266972 649447968 717810912 757689296 852400458 974171952 1049108256 1136533944 1515378592 1704800916 1948343904 2273067888 3409601832 4546135776 6819203664 13638407328
- Sum of all divisors σ(n): 51184224000
- Sum of proper divisors (its aliquot sum) s(n): 37545816672
- 13638407328 is an abundant number, because the sum of its proper divisors (37545816672) is greater than itself. Its abundance is 23907409344
Bases of 13638407328
- Binary: 11001011001110100110010100101000002
- Hexadecimal: 0x32CE994A0
- Base-36: 69JYEG0
Squares and roots of 13638407328
- 13638407328 squared (136384073282) is 186006154444444099584
- 13638407328 cubed (136384073283) is 2536827699828206176652787351552
-
The
square root of 13638407328 is 116783.5918611857 -
The
cube root of 13638407328 is 2389.2112572683
Scales and comparisons
How big is 13638407328?- 13,638,407,328 seconds is equal to 433 years, 34 weeks, 1 day, 22 hours, 28 minutes, 48 seconds.
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To count from 1 to 13,638,407,328 would take you about eight hundred sixty-seven 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 13638407328 cubic inches would be around 199.1 feet tall.
Recreational maths with 13638407328
- 13638407328 backwards is 82370483631
- The number of decimal digits it has is: 11
- The sum of 13638407328's digits is 45
- More coming soon!
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