12828960144

Names of 12828960144

• Cardinal: 12828960144 can be written as Twelve billion, eight hundred twenty-eight million, nine hundred sixty thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.2828960144 × 10¹⁰

Factors of 12828960144

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 96

Divisors of 12828960144

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 29 31 33 36 39 42 44 48 52 54 56 58 62 63 66 72 77 78 81 84 87 88 91 93 99 104 108 112 116 117 121 124 126 132 143 144 154 156 162 168 174 176 182 186 189 198 203 208 216 217 231 232 234 242 248 252 261 264 273 279 286 297 308 312 319 324 336 341 348 351 363 364 372 377 378 396 403 406 429 432 434 462 464 468 484 496 504 522 528 546 558 567 572 594 609 616 624 638 648 651 682 693 696 702 726 728 744 754 756 783 792 806 812 819 837 847 858 868 891 899 924 936 957 968 1001 1008 1023 1044 1053 1089 1092 1116 1131 1134 1144 1188 1209 1218 1232 1276 1287 1296 1302 1364 1386 1392 1404 1452 1456 1488 1508 1512 1566 1573 1584 1612 1624 1638 1674 1694 1716 1736 1782 1798 1827 1848 1872 1914 1936 1953 2002 2046 2079 2088 2106 2178 2184 2232 2233 2262 2268 2288 2349 2376 2387 2418 2436 2457 2511 2541 2552 2574 2604 2639 2697 2728 2772 2808 2821 2871 2904 3003 3016 3024 3069 3132 3146 3224 3248 3267 3276 3348 3388 3393 3432 3472 3509 3564 3596 3627 3654 3696 3751 3828 3861 3906 4004 4092 4147 4158 4176 4212 4356 4368 4433 4464 4466 4524 4536 4698 4719 4752 4774 4836 4872 4914 5022 5082 5104 5148 5208 5278 5394 5456 5481 5544 5616 5642 5742 5808 5859 6006 6032 6138 6237 6264 6292 6293 6448 6534 6552 6696 6699 6776 6786 6864 7018 7128 7161 7192 7254 7308 7371 7502 7623 7656 7722 7812 7917 8008 8091 8184 8294 8316 8424 8463 8613 8712 8866 8932 9009 9048 9072 9207 9396 9438 9548 9672 9744 9801 9828 9889 10044 10164 10179 10296 10416 10527 10556 10788 10881 10962 11011 11088 11253 11284 11484 11583 11687 11718 12012 12276 12441 12474 12528 12584 12586 13068 13104 13299 13392 13398 13552 13572 14036 14157 14256 14322 14384 14508 14616 14742 15004 15246 15312 15444 15624 15834 16016 16182 16368 16443 16588 16632 16848 16926 17226 17424 17577 17732 17864 18018 18096 18414 18792 18876 18879 19096 19344 19602 19656 19778 20088 20097 20328 20358 20592 21054 21112 21483 21576 21762 21924 22022 22506 22568 22869 22968 23166 23374 23436 23751 24024 24273 24552 24563 24882 24948 25168 25172 25389 25839 26136 26257 26598 26796 27027 27144 27621 28072 28314 28644 29016 29029 29232 29484 29667 30008 30492 30537 30888 31031 31248 31581 31668 32364 32643 32886 33033 33176 33264 33759 33852 34452 35061 35154 35464 35728 36036 36828 37323 37584 37752 37758 38192 39204 39312 39556 39897 40176 40194 40656 40716 42108 42224 42471 42966 43152 43524 43848 44044 45012 45136 45617 45738 45936 46332 46748 46872 47502 48048 48546 48763 49104 49126 49764 49896 50344 50778 51678 52272 52514 53196 53592 54054 54288 55242 56144 56628 56637 57288 58032 58058 58968 59334 60016 60291 60984 61074 61776 62062 63162 63336 64449 64728 65286 65772 66066 66352 67518 67704 68607 68904 69223 70122 70308 70928 71253 72072 72819 73656 73689 74646 75504 75516 76167 78408 78771 79112 79794 80388 81081 81432 81809 84216 84942 85932 87048 87087 87696 88088 89001 90024 91234 91476 92664 93093 93496 93744 94743 95004 97092 97526 98252 99099 99528 99792 100688 101277 101556 103356 105028 105183 106392 107184 108108 108779 110484 111969 113256 113274 114576 116116 117936 118668 119691 120582 121968 122148 124124 126324 126672 127413 128557 128898 129456 130572 131544 132132 135036 135408 136851 137214 137808 138446 140244 140616 142506 144144 145638 146289 147312 147378 149292 151032 152334 156816 157542 158224 159588 160776 162162 162864 163618 168432 169884 169911 171864 174096 174174 176176 178002 180048 180873 182468 182952 185328 186186 186992 189486 190008 193347 194184 195052 196504 198198 199056 202554 203112 206712 207669 210056 210366 212784 213759 216216 217558 220968 221067 223938 226512 226548 228501 232232 236313 237336 239382 241164 244296 245427 248248 252648 254826 257114 257796 261144 261261 263088 264264 267003 270072 273702 274428 276892 279279 280488 281232 284229 285012 291276 292578 294756 297297 298584 302064 303831 304668 315084 315549 319176 319319 321552 324324 326337 327236 335907 339768 339822 341341 343728 348348 356004 359073 361746 364936 365904 372372 378972 380016 385671 386694 388368 390104 393008 396396 405108 406224 410553 413424 415338 420112 420732 427518 432432 435116 438867 441936 442134 447876 453096 457002 464464 472626 474672 478764 482328 488592 490854 496496 505296 509652 509733 514228 515592 522288 522522 528528 534006 540144 547404 548856 553784 558558 560976 568458 570024 582552 585156 589512 594594 597168 607662 609336 623007 630168 631098 638352 638638 648648 652674 654472 663201 671814 679536 679644 682682 696696 708939 712008 718146 723492 729872 736281 744744 757944 761453 771342 773388 780208 783783 792792 801009 810216 821106 830676 837837 841464 855036 870232 877734 884268 891891 895752 899899 906192 914004 945252 946647 957528 957957 964656 979011 981708 1019304 1019466 1024023 1028456 1031184 1045044 1068012 1094808 1097712 1107568 1117116 1136916 1140048 1157013 1165104 1170312 1179024 1189188 1215324 1218672 1231659 1246014 1260336 1262196 1277276 1297296 1305348 1308944 1316601 1326402 1343628 1359288 1365364 1393392 1414127 1417878 1424016 1436292 1446984 1472562 1489488 1515888 1522906 1542684 1546776 1567566 1585584 1602018 1620432 1642212 1661352 1675674 1682928 1710072 1740464 1755468 1768536 1783782 1791504 1799798 1828008 1869021 1890504 1893294 1915056 1915914 1958022 1963416 1989603 2038608 2038932 2048046 2056912 2090088 2126817 2136024 2189616 2208843 2234232 2273832 2284359 2314026 2340624 2351349 2378376 2430648 2463318 2492028 2513511 2524392 2554552 2610696 2633202 2652804 2687256 2699697 2718576 2730728 2828254 2835756 2872584 2873871 2893968 2937033 2945124 3045812 3072069 3085368 3093552 3135132 3204036 3284424 3322704 3351348 3420144 3471039 3510936 3537072 3567564 3599596 3656016 3694977 3738042 3781008 3786588 3831828 3916044 3926832 3949803 3979206 4077864 4096092 4180176 4242381 4253634 4272048 4417686 4468464 4547664 4568718 4628052 4702698 4756752 4861296 4926636 4984056 5027022 5048784 5109104 5221392 5266404 5305608 5374512 5399394 5461456 5607063 5656508 5671512 5745168 5747742 5874066 5890248 6091624 6144138 6170736 6270264 6408072 6568848 6626529 6702696 6853077 6942078 7021872 7135128 7199192 7389954 7476084 7573176 7663656 7832088 7899606 7958412 8099091 8155728 8192184 8484762 8507268 8621613 8811099 8835372 9137436 9216207 9256104 9405396 9853272 9898889 9968112 10054044 10413117 10532808 10611216 10798788 11214126 11313016 11343024 11495484 11748132 11780496 12183248 12288276 12540528 12727143 12816144 13253058 13405392 13706154 13884156 14270256 14398384 14779908 14952168 15146352 15327312 15664176 15799212 15916824 16198182 16384368 16969524 17014536 17243226 17622198 17670744 18274872 18432414 18512208 18810792 19706544 19797778 20108088 20559231 20826234 21065616 21597576 22428252 22626032 22990968 23496264 24297273 24576552 25454286 25864839 26506116 27412308 27648621 27768312 29559816 29696667 29904336 31598424 31833648 32396364 33939048 34029072 34486452 35244396 35341488 36549744 36864828 37621584 38181429 39595556 40216176 41118462 41652468 43195152 44856504 45981936 46992528 48594546 49153104 50908572 51729678 53012232 54824616 55297242 55536624 59119632 59393334 61677693 63196848 64792728 67878096 68972904 70488792 72891819 73729656 76362858 79191112 82236924 83304936 89090001 89713008 97189092 101817144 103459356 106024464 109649232 110594484 114544287 118786668 123355386 129585456 137945808 140977584 145783638 147459312 152725716 158382224 164473848 166609872 178180002 194378184 203634288 206918712 221188968 229088574 237573336 246710772 267270003 291567276 305451432 328947696 356360004 388756368 413837424 442377936 458177148 475146672 493421544 534540006 583134552 610902864 712720008 801810009 916354296 986843088 1069080012 1166269104 1425440016 1603620018 1832708592 2138160024 3207240036 4276320048 6414480072 12828960144
• Sum of all divisors σ(n): 53639900160
• Sum of proper divisors (its aliquot sum) s(n): 40810940016
• 12828960144 is an abundant number, because the sum of its proper divisors (40810940016) is greater than itself. Its abundance is 27981979872

Bases of 12828960144

• Binary: 1011111100101010100110010110010000₂
• Hexadecimal: 0x2FCAA6590
• Base-36: 5W61500

Squares and roots of 12828960144

• 12828960144 squared (12828960144²) is 164582218376340500736
• 12828960144 cubed (12828960144³) is 2111418719961176676515146665984
• The square root of 12828960144 is 113264.9996424315
• The cube root of 12828960144 is 2340.9770278989

Scales and comparisons

• 12,828,960,144 seconds is equal to 407 years, 47 weeks, 6 days, 8 hours, 2 minutes, 24 seconds.
• To count from 1 to 12,828,960,144 would take you about eight hundred fifteen 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 12828960144 cubic inches would be around 195.1 feet tall.

Recreational maths with 12828960144

• 12828960144 backwards is 44106982821
• The number of decimal digits it has is: 11
• The sum of 12828960144's digits is 45
• More coming soon!