13381123178304

Names of 13381123178304

• Cardinal: 13381123178304 can be written as Thirteen trillion, three hundred eighty-one billion, one hundred twenty-three million, one hundred seventy-eight thousand, three hundred four.

Scientific notation

• Scientific notation: 1.3381123178304 × 10¹³

Factors of 13381123178304

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 80

Divisors of 13381123178304

• Number of divisors d(n): 1456
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 37 42 48 49 54 56 62 63 64 72 74 81 84 93 96 98 108 111 112 124 126 144 147 148 162 168 186 189 192 196 216 217 222 224 243 248 252 259 279 288 294 296 324 333 336 343 372 378 392 432 434 441 444 448 486 496 504 518 558 567 576 588 592 648 651 666 672 686 729 744 756 777 784 837 864 868 882 888 972 992 999 1008 1029 1036 1116 1134 1147 1176 1184 1296 1302 1323 1332 1344 1372 1458 1488 1512 1519 1554 1568 1674 1701 1728 1736 1764 1776 1813 1944 1953 1984 1998 2016 2058 2072 2187 2232 2268 2294 2331 2352 2368 2511 2592 2604 2646 2664 2744 2916 2976 2997 3024 3038 3087 3108 3136 3348 3402 3441 3472 3528 3552 3626 3888 3906 3969 3996 4032 4116 4144 4374 4464 4536 4557 4588 4662 4704 5022 5103 5184 5208 5292 5328 5439 5488 5832 5859 5952 5994 6048 6076 6174 6216 6561 6696 6804 6882 6944 6993 7056 7104 7252 7533 7776 7812 7938 7992 8029 8232 8288 8748 8928 8991 9072 9114 9176 9261 9324 9408 10044 10206 10323 10416 10584 10633 10656 10878 10976 11664 11718 11907 11988 12096 12152 12348 12432 12691 13122 13392 13608 13671 13764 13888 13986 14112 14504 15066 15309 15552 15624 15876 15984 16058 16317 16464 16576 17496 17577 17856 17982 18144 18228 18352 18522 18648 19683 20088 20412 20646 20832 20979 21168 21266 21312 21756 21952 22599 23328 23436 23814 23976 24087 24304 24696 24864 25382 26244 26784 26973 27216 27342 27528 27783 27972 28224 29008 30132 30618 30969 31248 31752 31899 31968 32116 32634 32928 34992 35154 35721 35964 36288 36456 36704 37044 37296 38073 39366 40176 40824 41013 41292 41664 41958 42336 42532 43512 45198 45927 46656 46872 47628 47952 48174 48608 48951 49392 49728 50764 52488 52731 53568 53946 54432 54684 55056 55566 55944 56203 58016 59049 60264 61236 61938 62496 62937 63504 63798 63936 64232 65268 65856 67797 69984 70308 71442 71928 72261 72912 73408 74088 74592 76146 78732 80352 80919 81648 82026 82584 83349 83916 84672 85064 87024 90396 91854 92907 93744 95256 95697 95904 96348 97216 97902 98784 101528 104976 105462 107163 107892 108864 109368 110112 111132 111888 112406 114219 116032 118098 120528 122472 123039 123876 124992 125874 127008 127596 128464 130536 135594 137781 139968 140616 142884 143856 144522 145824 146853 148176 149184 152292 157464 158193 160704 161838 163296 164052 165168 166698 167832 168609 170128 174048 177147 180792 183708 185814 187488 188811 190512 191394 191808 192696 195804 197568 203056 203391 209952 210924 214326 215784 216783 218736 220224 222264 223776 224812 228438 236196 241056 242757 244944 246078 247752 250047 251748 254016 255192 256928 261072 271188 275562 278721 281232 285768 287091 287712 289044 291648 293706 296352 304584 314928 316386 321489 323676 326592 328104 330336 333396 335664 337218 340256 342657 348096 354294 361584 367416 369117 371628 374976 377622 381024 382788 385392 391608 393421 406112 406782 413343 419904 421848 428652 431568 433566 437472 440559 444528 447552 449624 456876 472392 474579 482112 485514 489888 492156 495504 500094 503496 505827 510384 513856 522144 531441 542376 551124 557442 562464 566433 571536 574182 575424 578088 587412 592704 609168 610173 629856 632772 642978 647352 650349 656208 660672 666792 671328 674436 680512 685314 708588 723168 728271 734832 738234 743256 750141 755244 762048 765576 770784 783216 786842 812224 813564 826686 836163 843696 857304 861273 863136 867132 874944 881118 889056 899248 913752 944784 949158 964467 971028 979776 984312 991008 1000188 1006992 1011654 1020768 1027971 1044288 1062882 1084752 1102248 1107351 1114884 1124928 1132866 1143072 1148364 1156176 1174824 1180263 1218336 1220346 1240029 1259712 1265544 1285956 1294704 1300698 1312416 1321677 1333584 1342656 1348872 1370628 1417176 1423737 1446336 1456542 1469664 1476468 1486512 1500282 1510488 1517481 1531152 1541568 1566432 1573684 1627128 1653372 1672326 1687392 1699299 1714608 1722546 1726272 1734264 1762236 1778112 1798496 1827504 1830519 1889568 1898316 1928934 1942056 1951047 1968624 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79729272 80271648 81015228 81566352 81943974 82682208 83265651 84587328 84978936 87864912 89695431 90305604 91119168 91762146 92588832 93017484 93650256 95160744 95601303 97118784 98685216 102509064 104162436 104871024 105356538 106305696 107055837 108020304 108755136 109258632 111020868 113305248 115322697 117153216 119042784 119593908 120407472 121522842 122349528 122915961 124023312 124867008 126880992 127468404 131797368 135458406 136678752 137643219 138883248 139526226 139828032 140475384 142741116 144027072 145678176 148027824 153763596 157306536 158034807 159458544 160543296 162030456 163132704 163887948 165364416 166531302 169957872 175729824 179390862 180611208 182284263 183524292 185177664 186034968 187300512 190321488 191202606 197370432 203187609 205018128 208324872 209289339 209742048 210713076 212611392 214111674 216040608 218517264 222041736 226610496 230645394 238085568 239187816 240814944 243045684 244699056 245831922 248046624 249796953 253761984 254936808 263594736 269086293 270916812 273357504 275286438 277766496 279052452 280950768 285482232 286803909 291356352 296055648 307527192 314613072 316069614 318917088 321167511 324060912 326265408 327775896 333062604 339915744 351459648 358781724 361222416 364568526 367048584 368747883 372069936 374601024 380642976 382405212 406375218 410036256 416649744 418578678 419484096 421426152 428223348 432081216 437034528 444083472 461290788 474104421 478375632 481629888 486091368 489398112 491663844 496093248 499593906 509873616 527189472 538172586 541833624 550572876 555532992 558104904 561901536 570964464 573607818 592111296 609562827 615054384 627868017 629226144 632139228 637834176 642335022 648121824 655551792 666125208 679831488 717563448 722444832 729137052 734097168 737495766 744139872 749390859 761285952 764810424 807258879 812750436 820072512 833299488 837157356 842852304 856446696 860411727 874069056 888166944 922581576 948208842 956751264 963502533 972182736 978796224 983327688 999187812 1019747232 1054378944 1076345172 1083667248 1101145752 1106243649 1116209808 1123803072 1141928928 1147215636 1219125654 1230108768 1255736034 1258452288 1264278456 1284670044 1296243648 1311103584 1332250416 1422313263 1435126896 1444889664 1458274104 1468194336 1474991532 1488279744 1498781718 1529620848 1614517758 1625500872 1666598976 1674314712 1685704608 1712893392 1720823454 1776333888 1845163152 1883604051 1896417684 1913502528 1927005066 1944365472 1966655376 1998375624 2039494464 2152690344 2167334496 2202291504 2212487298 2232419616 2248172577 2283857856 2294431272 2438251308 2460217536 2511472068 2528556912 2569340088 2581235181 2622207168 2664500832 2844626526 2870253792 2916548208 2936388672 2949983064 2997563436 3059241696 3229035516 3251001744 3318730947 3348629424 3371409216 3425786784 3441646908 3690326304 3767208102 3792835368 3854010132 3888730944 3933310752 3996751248 4266939789 4305380688 4334668992 4404583008 4424974596 4464839232 4496345154 4588862544 4876502616 5022944136 5057113824 5138680176 5162470362 5329001664 5650812153 5689253052 5740507584 5833096416 5899966128 5995126872 6118483392 6458071032 6502003488 6637461894 6697258848 6744517731 6851573568 6883293816 7380652608 7534416204 7585670736 7708020264 7743705543 7866621504 7993502496 8533879578 8610761376 8809166016 8849949192 8992690308 9177725088 9753005232 9956192841 10045888272 10114227648 10277360352 10324940724 11301624306 11378506104 11666192832 11799932256 11990253744 12916142064 13004006976 13274923788 13394517696 13489035462 13766587632 15068832408 15171341472 15416040528 15487411086 15987004992 17067759156 17221522752 17699898384 17985380616 18355450176 19506010464 19912385682 20091776544 20554720704 20649881448 22603248612 22757012208 23231116629 23599864512 23980507488 25832284128 26549847576 26978070924 27533175264 29868578523 30137664816 30342682944 30832081056 30974822172 34135518312 35399796768 35970761232 39012020928 39824771364 40183553088 41299762896 45206497224 45514024416 46462233258 47961014976 51664568256 53099695152 53956141848 55066350528 59737157046 60275329632 61664162112 61949644344 68271036624 69693349887 70799593536 71941522464 79649542728 82599525792 90412994448 91028048832 92924466516 106199390304 107912283696 119474314092 120550659264 123899288688 136542073248 139386699774 143883044928 159299085456 165199051584 180825988896 185848933032 209080049661 212398780608 215824567392 238948628184 247798577376 273084146496 278773399548 318598170912 361651977792 371697866064 418160099322 431649134784 477897256368 495597154752 557546799096 637196341824 743395732128 836320198644 955794512736 1115093598192 1486791464256 1672640397288 1911589025472 2230187196384 3345280794576 4460374392768 6690561589152 13381123178304
• Sum of all divisors σ(n): 49242867020800
• Sum of proper divisors (its aliquot sum) s(n): 35861743842496
• 13381123178304 is an abundant number, because the sum of its proper divisors (35861743842496) is greater than itself. Its abundance is 22480620664192

Bases of 13381123178304

• Binary: 11000010101110001001000101111111111101000000₂
• Hexadecimal: 0xC2B8917FF40
• Base-36: 4QR7B9000

Squares and roots of 13381123178304

• 13381123178304 squared (13381123178304²) is 179054457512944542576316416
• 13381123178304 cubed (13381123178304³) is 2395949751605111008780490568942690238464
• The square root of 13381123178304 is 3658021.7574946161
• The cube root of 13381123178304 is 23740.9188126081

Scales and comparisons

• 13,381,123,178,304 seconds is equal to 425,478 years, 16 weeks, 6 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 13,381,123,178,304 would take you about one million, sixty-three thousand, six hundred ninety-five 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 13381123178304 cubic inches would be around 1978.4 feet tall.

Recreational maths with 13381123178304

• 13381123178304 backwards is 40387132118331
• The number of decimal digits it has is: 14
• The sum of 13381123178304's digits is 45
• More coming soon!