1338319801728

Names of 1338319801728

• Cardinal: 1338319801728 can be written as One trillion, three hundred thirty-eight billion, three hundred nineteen million, eight hundred one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.338319801728 × 10¹²

Factors of 1338319801728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 422

Divisors of 1338319801728

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 117 126 128 144 156 162 168 182 189 192 208 216 224 234 243 252 273 288 312 324 336 351 364 378 384 397 416 432 448 468 486 504 546 567 576 624 648 672 702 728 729 756 794 819 832 864 896 936 972 1008 1053 1092 1134 1152 1191 1248 1296 1344 1404 1456 1458 1512 1588 1638 1664 1701 1728 1872 1944 2016 2106 2184 2268 2382 2457 2496 2592 2688 2779 2808 2912 2916 3024 3159 3176 3276 3402 3456 3573 3744 3888 4032 4212 4368 4536 4764 4914 4992 5103 5161 5184 5558 5616 5824 5832 6048 6318 6352 6552 6804 7146 7371 7488 7776 8064 8337 8424 8736 9072 9477 9528 9828 10206 10322 10368 10719 11116 11232 11648 11664 12096 12636 12704 13104 13608 14292 14742 14976 15483 15552 16674 16848 17472 18144 18954 19056 19656 20412 20644 21438 22113 22232 22464 23328 24192 25011 25272 25408 26208 27216 28584 29484 30966 31104 32157 33348 33696 34944 36127 36288 37908 38112 39312 40824 41288 42876 44226 44464 44928 46449 46656 50022 50544 50816 52416 54432 57168 58968 61932 64314 66339 66696 67392 72254 72576 75033 75816 76224 78624 81648 82576 85752 88452 88928 92898 93312 96471 100044 101088 104832 108381 108864 114336 117936 123864 128628 132678 133392 134784 139347 144508 150066 151632 152448 157248 157609 163296 165152 171504 176904 177856 185796 192942 200088 202176 216762 217728 225099 228672 235872 247728 257256 265356 266784 278694 289016 289413 300132 303264 314496 315218 325143 326592 330304 343008 353808 355712 371592 385884 400176 404352 418041 433524 450198 457344 471744 472827 495456 514512 530712 533568 557388 578032 578826 600264 606528 630436 650286 653184 660608 675297 686016 707616 743184 771768 800352 836082 867048 900396 943488 945654 975429 990912 1029024 1061424 1067136 1103263 1114776 1156064 1157652 1200528 1213056 1254123 1260872 1300572 1350594 1372032 1415232 1418481 1486368 1543536 1600704 1672164 1734096 1800792 1891308 1950858 1981824 2025891 2048917 2058048 2122848 2206526 2229552 2312128 2315304 2401056 2508246 2521744 2601144 2701188 2830464 2836962 2926287 2972736 3087072 3201408 3309789 3344328 3468192 3601584 3762369 3782616 3901716 4051782 4097834 4116096 4245696 4255443 4413052 4459104 4624256 4630608 4802112 5016492 5043488 5202288 5402376 5673924 5852574 5945472 6146751 6174144 6619578 6688656 6936384 7203168 7524738 7565232 7803432 8103564 8195668 8491392 8510886 8778861 8826104 8918208 9261216 9604224 9929367 10032984 10086976 10404576 10804752 11347848 11705148 12293502 12348288 12766329 13239156 13377312 13872768 14342419 14406336 15049476 15130464 15606864 16207128 16391336 17021772 17557722 17652208 17836416 18440253 18522432 19858734 20065968 20173952 20809152 21609504 22695696 23410296 24587004 25532658 26336583 26478312 26754624 28684838 28812672 29788101 30098952 30260928 31213728 32414256 32782672 34043544 35115444 35304416 36880506 37044864 38298987 39717468 40131936 41618304 43027257 43219008 45391392 46820592 49174008 51065316 52673166 52956624 53509248 55320759 57369676 59576202 60197904 60521856 62427456 64828512 65565344 68087088 70230888 70608832 73761012 76597974 79434936 80263872 86054514 86438016 89364303 90782784 93641184 98348016 102130632 105346332 105913248 110641518 114739352 114896961 119152404 120395808 124854912 129081771 129657024 131130688 136174176 140461776 141217664 147522024 153195948 158869872 160527744 165962277 172109028 178728606 181565568 187282368 196696032 204261264 210692664 211826496 221283036 229478704 229793922 238304808 240791616 258163542 259314048 262261376 268092909 272348352 280923552 295044048 306391896 317739744 331924554 344218056 357457212 374564736 387245313 393392064 408522528 421385328 423652992 442566072 458957408 459587844 476609616 481583232 497886831 516327084 536185818 544696704 561847104 590088096 612783792 635479488 663849108 688436112 714914424 774490626 786784128 804278727 817045056 842770656 885132144 917914816 919175688 953219232 995773662 1032654168 1072371636 1123694208 1161735939 1180176192 1225567584 1270958976 1327698216 1376872224 1429828848 1493660493 1548981252 1608557454 1634090112 1685541312 1770264288 1835829632 1838351376 1906438464 1991547324 2065308336 2144743272 2323471878 2360352384 2451135168 2655396432 2753744448 2859657696 2987320986 3097962504 3217114908 3371082624 3485207817 3540528576 3676702752 3812876928 3983094648 4130616672 4289486544 4646943756 4902270336 5310792864 5507488896 5719315392 5974641972 6195925008 6434229816 6970415634 7081057152 7353405504 7966189296 8261233344 8578973088 9293887512 10455623451 10621585728 11438630784 11949283944 12391850016 12868459632 13940831268 14706811008 15932378592 16522466688 17157946176 18587775024 20911246902 21243171456 23898567888 24783700032 25736919264 27881662536 31864757184 34315892352 37175550048 41822493804 47797135776 49567400064 51473838528 55763325072 63729514368 74351100096 83644987608 95594271552 102947677056 111526650144 148702200192 167289975216 191188543104 223053300288 334579950432 446106600576 669159900864 1338319801728
• Sum of all divisors σ(n): 4932359152560
• Sum of proper divisors (its aliquot sum) s(n): 3594039350832
• 1338319801728 is an abundant number, because the sum of its proper divisors (3594039350832) is greater than itself. Its abundance is 2255719549104

Bases of 1338319801728

• Binary: 10011011110011010000100111000110110000000₂
• Hexadecimal: 0x1379A138D80
• Base-36: H2TD2000

Squares and roots of 1338319801728

• 1338319801728 squared (1338319801728²) is 1791099891697273231785984
• 1338319801728 cubed (1338319801728³) is 2397064451931336984962059894209380352
• The square root of 1338319801728 is 1156857.7275222739
• The cube root of 1338319801728 is 11020.1278904089

Scales and comparisons

• 1,338,319,801,728 seconds is equal to 42,554 years, 22 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 1,338,319,801,728 would take you about one hundred six thousand, three hundred eighty-six 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 1338319801728 cubic inches would be around 918.3 feet tall.

Recreational maths with 1338319801728

• 1338319801728 backwards is 8271089138331
• 1338319801728 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 1338319801728's digits is 54
• More coming soon!