1006008966144

Names of 1006008966144

• Cardinal: 1006008966144 can be written as One trillion, six billion, eight million, nine hundred sixty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.006008966144 × 10¹²

Factors of 1006008966144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1819

Divisors of 1006008966144

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 53 56 63 64 72 78 84 91 96 104 106 112 117 126 128 144 156 159 168 169 182 192 208 212 224 234 252 256 273 288 312 318 336 338 364 371 384 416 424 448 468 477 504 507 512 546 576 624 636 672 676 689 728 742 768 819 832 848 896 936 954 1008 1014 1024 1092 1113 1152 1183 1248 1272 1344 1352 1378 1456 1484 1521 1536 1638 1664 1696 1741 1792 1872 1908 2016 2028 2067 2184 2226 2304 2366 2496 2544 2688 2704 2756 2912 2968 3042 3072 3276 3328 3339 3392 3482 3549 3584 3744 3816 4032 4056 4134 4368 4452 4608 4732 4823 4992 5088 5223 5376 5408 5512 5824 5936 6084 6201 6552 6656 6678 6784 6964 7098 7168 7488 7632 8064 8112 8268 8736 8904 8957 9216 9464 9646 9984 10176 10446 10647 10752 10816 11024 11648 11872 12168 12187 12402 13104 13312 13356 13568 13928 14196 14469 14976 15264 15669 16128 16224 16536 17472 17808 17914 18928 19292 19968 20352 20892 21294 21504 21632 22048 22633 23296 23744 24336 24374 24804 26208 26712 26871 27136 27856 28392 28938 29952 30528 31338 32256 32448 33072 34944 35616 35828 36561 37856 38584 39936 40704 41784 42588 43264 43407 44096 45266 46592 47488 48672 48748 49608 52416 53424 53742 54272 55712 56784 57876 59904 61056 62676 62699 64512 64896 66144 67899 69888 71232 71656 73122 75712 77168 80613 81408 83568 85176 86528 86814 88192 90532 92273 93184 94976 97344 97496 99216 104832 106848 107484 109683 111424 113568 115752 119808 122112 125352 125398 129792 132288 135798 139776 142464 143312 146244 151424 154336 158431 161226 162816 167136 170352 173056 173628 176384 181064 184546 188097 189952 194688 194992 198432 203697 209664 213696 214968 219366 222848 227136 231504 244224 250704 250796 259584 264576 271596 276819 279552 284928 286624 292488 294229 302848 308672 316862 322452 334272 340704 347256 352768 362128 369092 376194 379904 389376 389984 396864 407394 419328 427392 429936 438732 445696 454272 463008 475293 488448 501408 501592 519168 529152 543192 553638 564291 569856 573248 584976 588458 605696 617344 633724 644904 645911 668544 681408 694512 705536 724256 738184 752388 778752 779968 793728 814788 830457 838656 854784 859872 877464 882687 891392 908544 926016 950586 1002816 1003184 1058304 1086384 1107276 1128582 1139712 1146496 1169952 1176916 1199549 1211392 1234688 1267448 1289808 1291822 1337088 1362816 1389024 1425879 1448512 1476368 1504776 1557504 1559936 1587456 1629576 1660914 1709568 1719744 1754928 1765374 1782784 1817088 1852032 1901172 1937733 2005632 2006368 2059603 2116608 2172768 2214552 2257164 2292992 2339904 2353832 2399098 2469376 2534896 2579616 2583644 2648061 2674176 2725632 2778048 2851758 2897024 2952736 3009552 3119872 3174912 3259152 3321828 3419136 3439488 3509856 3530748 3598647 3634176 3704064 3802344 3875466 4011264 4012736 4119206 4345536 4429104 4514328 4585984 4679808 4707664 4798196 4938752 5069792 5159232 5167288 5296122 5348352 5451264 5556096 5703516 5794048 5813199 5905472 6019104 6178809 6239744 6349824 6518304 6643656 6878976 7019712 7061496 7197294 7408128 7604688 7750932 8022528 8025472 8238412 8396843 8691072 8858208 9028656 9171968 9359616 9415328 9596392 10139584 10318464 10334576 10592244 10795941 10902528 11112192 11407032 11588096 11626398 11810944 12038208 12357618 12479488 13036608 13287312 13757952 14039424 14122992 14394588 14816256 15209376 15501864 15594137 16045056 16050944 16476824 16793686 17382144 17716416 18057312 18536427 18719232 18830656 19192784 20279168 20636928 20669152 21184488 21591882 22224384 22814064 23176192 23252796 23621888 24076416 24715236 25190529 26073216 26574624 27515904 28078848 28245984 28789176 30418752 31003728 31188274 32101888 32953648 33587372 34764288 35432832 36114624 37072854 37438464 37661312 38385568 40558336 41273856 41338304 42368976 43183764 44448768 45628128 46505592 46782411 47243776 48152832 49430472 50381058 52146432 53149248 56157696 56491968 57578352 60837504 62007456 62376548 64203776 65907296 67174744 69528576 70865664 72229248 74145708 75322624 75571587 76771136 81116672 82547712 82676608 84737952 86367528 91256256 93011184 93564822 94487552 96305664 98860944 100762116 104292864 106298496 109158959 112315392 112983936 115156704 121675008 124014912 124753096 131814592 134349488 140347233 141731328 144458496 148291416 150645248 151143174 153542272 162233344 165353216 169475904 172735056 182512512 186022368 187129644 192611328 197721888 201524232 208585728 212596992 218317918 225967872 230313408 243350016 248029824 249506192 263629184 268698976 280694466 283462656 288916992 296582832 301290496 302286348 307084544 327476877 330706432 338951808 345470112 365025024 372044736 374259288 395443776 403048464 425193984 436635836 451935744 460626816 486700032 496059648 499012384 527258368 537397952 561388932 577833984 593165664 604572696 614169088 654953754 661412864 677903616 690940224 730050048 744089472 748518576 790887552 806096928 850387968 873271672 903871488 921253632 982430631 992119296 998024768 1054516736 1074795904 1122777864 1186331328 1209145392 1228338176 1309907508 1355807232 1381880448 1460100096 1488178944 1497037152 1581775104 1612193856 1746543344 1842507264 1964861262 1984238592 1996049536 2109033472 2149591808 2245555728 2372662656 2418290784 2619815016 2711614464 2763760896 2976357888 2994074304 3163550208 3224387712 3493086688 3685014528 3929722524 3992099072 4299183616 4491111456 4745325312 4836581568 5239630032 5527521792 5952715776 5988148608 6327100416 6448775424 6986173376 7859445048 7984198144 8598367232 8982222912 9490650624 9673163136 10479260064 11055043584 11976297216 12897550848 13972346752 15718890096 15968396288 17964445824 18981301248 19346326272 20958520128 23952594432 25795101696 27944693504 31437780192 35928891648 38692652544 41917040256 47905188864 55889387008 62875560384 71857783296 77385305088 83834080512 111778774016 125751120768 143715566592 167668161024 251502241536 335336322048 503004483072 1006008966144
• Sum of all divisors σ(n): 3664748554272
• Sum of proper divisors (its aliquot sum) s(n): 2658739588128
• 1006008966144 is an abundant number, because the sum of its proper divisors (2658739588128) is greater than itself. Its abundance is 1652730621984

Bases of 1006008966144

• Binary: 1110101000111010110011101001110000000000₂
• Hexadecimal: 0xEA3ACE9C00
• Base-36: CU5JRI80

Squares and roots of 1006008966144

• 1006008966144 squared (1006008966144²) is 1012054039962119738228736
• 1006008966144 cubed (1006008966144³) is 1018135438424150538778226617151913984
• The square root of 1006008966144 is 1002999.9831226319
• The cube root of 1006008966144 is 10019.9899009065

Scales and comparisons

• 1,006,008,966,144 seconds is equal to 31,987 years, 50 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 1,006,008,966,144 would take you about seventy-nine thousand, nine hundred sixty-nine 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 1006008966144 cubic inches would be around 835 feet tall.

Recreational maths with 1006008966144

• 1006008966144 backwards is 4416698006001
• The number of decimal digits it has is: 13
• The sum of 1006008966144's digits is 45
• More coming soon!