12345372914688

Names of 12345372914688

• Cardinal: 12345372914688 can be written as Twelve trillion, three hundred forty-five billion, three hundred seventy-two million, nine hundred fourteen thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.2345372914688 × 10¹³

Factors of 12345372914688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 600

Divisors of 12345372914688

• Number of divisors d(n): 594
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 64 66 72 74 88 96 99 111 121 128 132 144 148 176 192 198 222 242 256 264 288 296 333 352 363 384 396 407 444 484 512 528 547 576 592 666 704 726 768 792 814 888 968 1024 1056 1089 1094 1152 1184 1221 1332 1408 1452 1536 1584 1628 1641 1776 1936 2112 2178 2188 2304 2368 2442 2664 2816 2904 3072 3168 3256 3282 3552 3663 3872 4224 4356 4376 4477 4608 4736 4884 4923 5328 5632 5808 6017 6336 6512 6564 7104 7326 7744 8448 8712 8752 8954 9216 9472 9768 9846 10656 11264 11616 12034 12672 13024 13128 13431 14208 14652 15488 16896 17424 17504 17908 18051 18944 19536 19692 20239 21312 23232 24068 25344 26048 26256 26862 28416 29304 30976 33792 34848 35008 35816 36102 37888 39072 39384 40293 40478 42624 46464 48136 50688 52096 52512 53724 54153 56832 58608 60717 61952 66187 69696 70016 71632 72204 78144 78768 80586 80956 85248 92928 96272 101376 104192 105024 107448 108306 113664 117216 121434 123904 132374 139392 140032 143264 144408 156288 157536 161172 161912 170496 182151 185856 192544 198561 208384 210048 214896 216612 222629 234432 242868 264748 278784 280064 286528 288816 299209 312576 315072 322344 323824 340992 364302 371712 385088 397122 416768 420096 429792 433224 445258 468864 485736 529496 557568 560128 573056 577632 595683 598418 625152 630144 644688 647648 667887 728604 770176 794244 840192 859584 866448 890516 897627 937728 971472 1058992 1115136 1146112 1155264 1191366 1196836 1250304 1260288 1289376 1295296 1335774 1457208 1540352 1588488 1680384 1719168 1732896 1781032 1795254 1875456 1942944 2003661 2117984 2292224 2310528 2382732 2393672 2448919 2520576 2578752 2590592 2671548 2692881 2914416 3080704 3176976 3291299 3438336 3465792 3562064 3590508 3750912 3885888 4007322 4235968 4584448 4621056 4765464 4787344 4897838 5041152 5157504 5181184 5343096 5385762 5828832 6161408 6353952 6582598 6876672 6931584 7124128 7181016 7346757 7771776 8014644 8471936 9242112 9530928 9574688 9795676 9873897 10315008 10362368 10686192 10771524 11070733 11657664 12707904 13165196 13753344 13863168 14248256 14362032 14693514 15543552 16029288 16943872 18484224 19061856 19149376 19591352 19747794 20630016 20724736 21372384 21543048 22040271 22141466 23315328 25415808 26330392 27726336 28496512 28724064 29387028 29621691 31087104 32058576 33212199 33887744 36204289 38123712 38298752 39182704 39495588 41260032 42744768 43086096 44080542 44282932 46630656 50831616 52660784 55452672 56993024 57448128 58774056 59243382 62174208 64117152 66424398 67775488 72408578 76247424 76597504 78365408 78991176 85489536 86172192 88161084 88565864 93261312 99636597 101663232 105321568 108612867 113986048 114896256 117548112 118486764 121778063 128234304 132848796 144817156 152494848 153195008 156730816 157982352 170979072 172344384 176322168 177131728 186522624 199273194 203326464 210643136 217225734 227972096 229792512 235096224 236973528 243556126 256468608 265697592 289634312 304989696 306390016 313461632 315964704 325838601 341958144 344688768 352644336 354263456 365334189 398546388 421286272 434451468 459585024 470192448 473947056 487112252 512937216 531395184 579268624 609979392 626923264 631929408 651677202 683916288 689377536 705288672 708526912 730668378 797092776 842572544 868902936 919170048 940384896 947894112 974224504 1025874432 1062790368 1096002567 1158537248 1253846528 1263858816 1303354404 1339558693 1378755072 1410577344 1417053824 1461336756 1594185552 1685145088 1737805872 1880769792 1895788224 1948449008 2051748864 2125580736 2192005134 2317074496 2507693056 2527717632 2606708808 2679117386 2757510144 2821154688 2834107648 2922673512 3188371104 3370290176 3475611744 3761539584 3791576448 3896898016 4018676079 4251161472 4384010268 4634148992 5055435264 5213417616 5358234772 5642309376 5668215296 5845347024 6376742208 6951223488 7523079168 7583152896 7793796032 8037352158 8502322944 8768020536 9268297984 10110870528 10426835232 10716469544 11284618752 11336430592 11690694048 12056028237 12753484416 13902446976 15166305792 15587592064 16074704316 17004645888 17536041072 18536595968 20853670464 21432939088 22569237504 23381388096 24112056474 25506968832 27804893952 30332611584 31175184128 32149408632 34009291776 35072082144 37073191936 41707340928 42865878176 46762776192 48224112948 51013937664 55609787904 62350368256 64298817264 70144164288 83414681856 85731756352 93525552384 96448225896 102027875328 111219575808 124700736512 128597634528 140288328576 166829363712 171463512704 187051104768 192896451792 257195269056 280576657152 333658727424 342927025408 374102209536 385792903584 514390538112 561153314304 685854050816 771585807168 1028781076224 1122306628608 1371708101632 1543171614336 2057562152448 3086343228672 4115124304896 6172686457344 12345372914688
• Sum of all divisors σ(n): 40314916645458
• Sum of proper divisors (its aliquot sum) s(n): 27969543730770
• 12345372914688 is an abundant number, because the sum of its proper divisors (27969543730770) is greater than itself. Its abundance is 15624170816082

Bases of 12345372914688

• Binary: 10110011101001100001100100010011010000000000₂
• Hexadecimal: 0xB3A61913400
• Base-36: 4DJDWA9S0

Squares and roots of 12345372914688

• 12345372914688 squared (12345372914688²) is 152408232402712084526137344
• 12345372914688 cubed (12345372914688³) is 1881536464279915772342520405815482908672
• The square root of 12345372914688 is 3513598.2859012213
• The cube root of 12345372914688 is 23111.8514641401

Scales and comparisons

• 12,345,372,914,688 seconds is equal to 392,544 years, 34 weeks, 6 days, 14 hours, 4 minutes, 48 seconds.
• To count from 1 to 12,345,372,914,688 would take you about nine hundred eighty-one thousand, three hundred sixty-one 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 12345372914688 cubic inches would be around 1926 feet tall.

Recreational maths with 12345372914688

• 12345372914688 backwards is 88641927354321
• The number of decimal digits it has is: 14
• The sum of 12345372914688's digits is 63
• More coming soon!