21384164319840

Names of 21384164319840

• Cardinal: 21384164319840 can be written as Twenty-one trillion, three hundred eighty-four billion, one hundred sixty-four million, three hundred nineteen thousand, eight hundred forty.

Scientific notation

• Scientific notation: 2.138416431984 × 10¹³

Factors of 21384164319840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 11192

Divisors of 21384164319840

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 81 84 90 96 105 108 109 112 120 126 135 140 144 160 162 168 180 189 199 210 216 218 224 240 252 270 280 288 315 324 327 336 360 378 398 405 420 432 436 480 504 540 545 560 567 597 630 648 654 672 720 756 763 796 810 840 864 872 945 981 995 1008 1080 1090 1120 1134 1194 1260 1296 1308 1393 1440 1512 1526 1592 1620 1635 1680 1744 1791 1890 1962 1990 2016 2160 2180 2268 2289 2388 2520 2592 2616 2786 2835 2943 2985 3024 3052 3184 3240 3270 3360 3488 3582 3780 3815 3924 3980 4179 4320 4360 4536 4578 4776 4905 5040 5232 5373 5572 5670 5886 5970 6048 6104 6368 6480 6540 6867 6965 7164 7560 7630 7848 7960 8358 8720 8829 8955 9072 9156 9552 9810 10080 10464 10746 10867 11144 11340 11445 11772 11940 12208 12537 12960 13080 13734 13930 14328 14715 15120 15260 15696 15920 16119 16716 17440 17658 17910 18144 18312 19104 19620 20601 20895 21492 21691 21734 22288 22680 22890 23544 23880 24416 25074 26160 26865 27468 27860 28656 29430 30240 30520 31392 31840 32238 32601 33432 34335 35316 35820 36624 37611 39240 41202 41790 42984 43382 43468 44145 44576 45360 45780 47088 47760 50148 52320 53730 54335 54936 55720 57312 58860 61040 61803 62685 64476 65073 65202 66864 68670 70632 71640 73248 75222 76069 78480 80595 82404 83580 85968 86764 86936 88290 90720 91560 94176 95520 97803 100296 103005 107460 108455 108670 109872 111440 112833 117720 122080 123606 125370 128952 130146 130404 133728 137340 141264 143280 150444 151837 152138 156960 161190 163005 164808 167160 171936 173528 173872 176580 183120 188055 195219 195606 200592 206010 214920 216910 217340 219744 222880 225666 228207 235440 247212 250740 257904 260292 260808 274680 282528 286560 293409 300888 303674 304276 309015 322380 325365 326010 329616 334320 347056 347744 353160 366240 376110 380345 390438 391212 401184 412020 429840 433820 434680 451332 455511 456414 470880 489015 494424 501480 515808 520584 521616 549360 564165 585657 586818 601776 607348 608552 618030 644760 650730 652020 659232 668640 684621 694112 706320 752220 759185 760690 780876 782424 824040 859680 867640 869360 880227 902664 911022 912828 976095 978030 988848 1002960 1041168 1043232 1098720 1128330 1141035 1171314 1173636 1184503 1203552 1214696 1217104 1236060 1289520 1301460 1304040 1366533 1369242 1412640 1467045 1504440 1518370 1521380 1561752 1564848 1648080 1735280 1738720 1756971 1760454 1805328 1822044 1825656 1952190 1956060 1977696 2005920 2053863 2082336 2162533 2256660 2277555 2282070 2342628 2347272 2369006 2429392 2434208 2472120 2579040 2602920 2608080 2733066 2738484 2928285 2934090 3008880 3036740 3042760 3123504 3129696 3296160 3423105 3470560 3513942 3520908 3553509 3610656 3644088 3651312 3904380 3912120 4099599 4107726 4325066 4401135 4513320 4555110 4564140 4685256 4694544 4738012 4858784 4944240 5205840 5216160 5466132 5476968 5856570 5868180 5922515 6017760 6073480 6085520 6161589 6247008 6487599 6832665 6846210 7027884 7041816 7107018 7288176 7302624 7808760 7824240 8199198 8215452 8291521 8650132 8784855 8802270 9026640 9110220 9128280 9370512 9389088 9476024 9888480 10269315 10411680 10660527 10812665 10932264 10953936 11713140 11736360 11845030 12146960 12171040 12298797 12323178 12975198 13665330 13692420 14055768 14083632 14214036 14576352 15137731 15617520 15648480 16398396 16430904 16583042 17300264 17569710 17604540 17767545 18053280 18220440 18256560 18741024 18952048 19462797 20497995 20538630 21321054 21625330 21864528 21907872 23426280 23472720 23690060 24293920 24597594 24646356 24874563 25950396 27330660 27384840 28111536 28167264 28428072 30275462 30807945 31235040 31981581 32437995 32796792 32861808 33166084 34600528 35139420 35209080 35535090 36440880 36513120 37904096 38925594 40995990 41077260 41457605 42642108 43250660 43729056 45413193 46852560 46945440 47380120 49195188 49292712 49749126 51900792 53302635 54661320 54769680 56223072 56856144 58388391 60550924 61493985 61615890 63963162 64875990 65593584 65723616 66332168 69201056 70278840 70418160 71070180 72881760 74623689 75688655 77851188 81991980 82154520 82915210 85284216 86501320 90826386 93705120 94760240 95944743 97313985 98390376 98585424 99498252 103801584 106605270 109322640 109539360 113712288 116776782 121101848 122987970 123231780 124372815 127926324 129751980 131187168 132664336 136239579 140557680 140836320 142140360 149247378 151377310 155702376 159907905 163983960 164309040 165830420 170568432 173002640 175165173 181652772 189520480 191889486 194627970 196780752 197170848 198996504 207603168 213210540 218645280 223871067 227065965 233553564 235716097 242203696 245975940 246463560 248745630 255852648 259503960 265328672 272479158 281115360 284280720 291941955 298494756 302754620 311404752 319815810 327967920 328618080 331660840 341136864 346005280 350330346 363305544 373118445 383778972 389255940 393561504 397993008 408718737 426421080 447742134 454131930 467107128 471432194 479723715 484407392 491951880 492927120 497491260 511705296 519007920 544958316 568561440 583883910 596989512 605509240 622809504 639631620 655935840 663321680 671613201 681197895 700660692 707148291 726611088 746236890 767557944 778511880 795986016 817437474 852842160 875825865 895484268 908263860 934214256 942864388 959447430 983903760 985854240 994982520 1023410592 1038015840 1089916632 1119355335 1167767820 1178580485 1193979024 1211018480 1226156211 1279263240 1326643360 1343226402 1362395790 1401321384 1414296582 1453222176 1492473780 1535115888 1557023760 1634874948 1650012679 1705684320 1751651730 1790968536 1816527720 1868428512 1885728776 1918894860 1967807520 1989965040 2043593685 2121444873 2179833264 2238710670 2335535640 2357160970 2387958048 2422036960 2452312422 2558526480 2686452804 2724791580 2802642768 2828593164 2984947560 3070231776 3114047520 3269749896 3300025358 3358066005 3503303460 3535741455 3581937072 3633055440 3771457552 3837789720 3979930080 4087187370 4242889746 4359666528 4477421340 4671071280 4714321940 4904624844 4950038037 5117052960 5372905608 5449583160 5605285536 5657186328 5969895120 6130781055 6364334619 6539499792 6600050716 6716132010 7006606920 7071482910 7163874144 7266110880 7542915104 7675579440 8174374740 8250063395 8485779492 8954842680 9342142560 9428643880 9809249688 9900076074 10607224365 10745811216 10899166320 11314372656 11939790240 12261562110 12728669238 13078999584 13200101432 13432264020 14013213840 14142965820 14850114111 15351158880 16348749480 16500126790 16971558984 17909685360 18857287760 19093003857 19618499376 19800152148 21214448730 21491622432 21798332640 22628745312 24523124220 24750190185 25457338476 26400202864 26864528040 28026427680 28285931640 29700228222 31821673095 32697498960 33000253580 33943117968 35819370720 37714575520 38186007714 39236998752 39600304296 42428897460 44550342333 49046248440 49500380370 50914676952 52800405728 53729056080 56571863280 59400456444 63643346190 65394997920 66000507160 67886235936 74250570555 76372015428 79200608592 84857794920 89100684666 95465019285 98092496880 99000760740 101829353904 107458112160 113143726560 118800912888 127286692380 132001014320 133651026999 148501141110 152744030856 158401217184 169715589840 178201369332 190930038570 196184993760 198001521480 203658707808 222751711665 237601825776 254573384760 264002028640 267302053998 297002282220 305488061712 339431179680 356402738664 381860077140 396003042960 445503423330 475203651552 509146769520 534604107996 594004564440 610976123424 668255134995 712805477328 763720154280 792006085920 891006846660 1018293539040 1069208215992 1188009128880 1336510269990 1425610954656 1527440308560 1782013693320 2138416431984 2376018257760 2673020539980 3054880617120 3564027386640 4276832863968 5346041079960 7128054773280 10692082159920 21384164319840
• Sum of all divisors σ(n): 87486182784000
• Sum of proper divisors (its aliquot sum) s(n): 66102018464160
• 21384164319840 is an abundant number, because the sum of its proper divisors (66102018464160) is greater than itself. Its abundance is 44717854144320

Bases of 21384164319840

• Binary: 100110111001011100011100001001010001001100000₂
• Hexadecimal: 0x1372E384A260
• Base-36: 7KVQZBA00

Squares and roots of 21384164319840

• 21384164319840 squared (21384164319840²) is 457282483657918129817625600
• 21384164319840 cubed (21384164319840³) is 9778603771125470759741930561867771904000
• The square root of 21384164319840 is 4624301.4953439185
• The cube root of 21384164319840 is 27756.4611505243

Scales and comparisons

• 21,384,164,319,840 seconds is equal to 679,950 years, 14 weeks, 3 days, 20 hours, 24 minutes.
• To count from 1 to 21,384,164,319,840 would take you about one million, six hundred ninety-nine thousand, eight hundred seventy-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 21384164319840 cubic inches would be around 2313 feet tall.

Recreational maths with 21384164319840

• 21384164319840 backwards is 04891346148312
• 21384164319840 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21384164319840's digits is 54
• More coming soon!