2138416431984

Names of 2138416431984

• Cardinal: 2138416431984 can be written as Two trillion, one hundred thirty-eight billion, four hundred sixteen million, four hundred thirty-one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 2.138416431984 × 10¹²

Factors of 2138416431984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 11187

Divisors of 2138416431984

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 109 112 126 144 162 168 189 199 216 218 252 324 327 336 378 398 432 436 504 567 597 648 654 756 763 796 872 981 1008 1134 1194 1296 1308 1393 1512 1526 1592 1744 1791 1962 2268 2289 2388 2616 2786 2943 3024 3052 3184 3582 3924 4179 4536 4578 4776 5232 5373 5572 5886 6104 6867 7164 7848 8358 8829 9072 9156 9552 10746 10867 11144 11772 12208 12537 13734 14328 15696 16119 16716 17658 18312 20601 21492 21691 21734 22288 23544 25074 27468 28656 32238 32601 33432 35316 36624 37611 41202 42984 43382 43468 47088 50148 54936 61803 64476 65073 65202 66864 70632 75222 76069 82404 85968 86764 86936 97803 100296 109872 112833 123606 128952 130146 130404 141264 150444 151837 152138 164808 173528 173872 195219 195606 200592 225666 228207 247212 257904 260292 260808 293409 300888 303674 304276 329616 347056 390438 391212 451332 455511 456414 494424 520584 521616 585657 586818 601776 607348 608552 684621 780876 782424 880227 902664 911022 912828 988848 1041168 1171314 1173636 1184503 1214696 1217104 1366533 1369242 1561752 1564848 1756971 1760454 1805328 1822044 1825656 2053863 2162533 2342628 2347272 2369006 2429392 2733066 2738484 3123504 3513942 3520908 3553509 3644088 3651312 4099599 4107726 4325066 4685256 4694544 4738012 5466132 5476968 6161589 6487599 7027884 7041816 7107018 7288176 8199198 8215452 8291521 8650132 9370512 9476024 10660527 10932264 10953936 12298797 12323178 12975198 14055768 14083632 14214036 15137731 16398396 16430904 16583042 17300264 18952048 19462797 21321054 21864528 24597594 24646356 24874563 25950396 28111536 28428072 30275462 31981581 32796792 32861808 33166084 34600528 38925594 42642108 45413193 49195188 49292712 49749126 51900792 56856144 58388391 60550924 63963162 65593584 66332168 74623689 77851188 85284216 90826386 95944743 98390376 98585424 99498252 103801584 116776782 121101848 127926324 132664336 136239579 149247378 155702376 170568432 175165173 181652772 191889486 196780752 198996504 223871067 233553564 235716097 242203696 255852648 272479158 298494756 311404752 350330346 363305544 383778972 397993008 408718737 447742134 467107128 471432194 511705296 544958316 596989512 671613201 700660692 707148291 726611088 767557944 817437474 895484268 934214256 942864388 1089916632 1193979024 1226156211 1343226402 1401321384 1414296582 1535115888 1634874948 1650012679 1790968536 1885728776 2121444873 2179833264 2452312422 2686452804 2802642768 2828593164 3269749896 3300025358 3581937072 3771457552 4242889746 4904624844 4950038037 5372905608 5657186328 6364334619 6539499792 6600050716 8485779492 9809249688 9900076074 10745811216 11314372656 12728669238 13200101432 14850114111 16971558984 19093003857 19618499376 19800152148 25457338476 26400202864 29700228222 33943117968 38186007714 39600304296 44550342333 50914676952 59400456444 76372015428 79200608592 89100684666 101829353904 118800912888 133651026999 152744030856 178201369332 237601825776 267302053998 305488061712 356402738664 534604107996 712805477328 1069208215992 2138416431984
• Sum of all divisors σ(n): 7174792768000
• Sum of proper divisors (its aliquot sum) s(n): 5036376336016
• 2138416431984 is an abundant number, because the sum of its proper divisors (5036376336016) is greater than itself. Its abundance is 2897959904032

Bases of 2138416431984

• Binary: 11111000111100011100011010100001101110000₂
• Hexadecimal: 0x1F1E38D4370
• Base-36: RADHXJ00

Squares and roots of 2138416431984

• 2138416431984 squared (2138416431984²) is 4572824836579181298176256
• 2138416431984 cubed (2138416431984³) is 9778603771125470759741930561867771904
• The square root of 2138416431984 is 1462332.5312609305
• The cube root of 2138416431984 is 12883.4080136881

Scales and comparisons

• 2,138,416,431,984 seconds is equal to 67,995 years, 1 week, 3 days, 4 hours, 26 minutes, 24 seconds.
• To count from 1 to 2,138,416,431,984 would take you about one hundred sixty-nine thousand, nine hundred eighty-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 2138416431984 cubic inches would be around 1073.6 feet tall.

Recreational maths with 2138416431984

• 2138416431984 backwards is 4891346148312
• 2138416431984 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 2138416431984's digits is 54
• More coming soon!