13986292251398400

Names of 13986292251398400

• Cardinal: 13986292251398400 can be written as Thirteen quadrillion, nine hundred eighty-six trillion, two hundred ninety-two billion, two hundred fifty-one million, three hundred ninety-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.39862922513984 × 10¹⁶

Factors of 13986292251398400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1928

Divisors of 13986292251398400

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 128 144 150 160 164 180 192 200 205 225 240 246 256 288 300 320 328 360 369 384 400 410 450 480 492 576 600 615 640 656 720 738 768 800 820 900 960 984 1025 1152 1200 1230 1280 1312 1440 1476 1600 1640 1681 1800 1845 1877 1920 1968 2050 2304 2400 2460 2624 2880 2952 3075 3200 3280 3362 3600 3690 3754 3840 3936 4100 4800 4920 5043 5248 5631 5760 5904 6150 6400 6560 6724 7200 7380 7508 7872 8200 8405 9225 9385 9600 9840 10086 10496 11262 11520 11808 12300 13120 13448 14400 14760 15016 15129 15744 16400 16810 16893 18450 18770 19200 19680 20172 22524 23616 24600 25215 26240 26896 28155 28800 29520 30032 30258 31488 32800 33620 33786 36900 37540 39360 40344 42025 45048 46925 47232 49200 50430 52480 53792 56310 57600 59040 60064 60516 65600 67240 67572 68921 73800 75080 75645 76957 78720 80688 84050 84465 90096 93850 94464 98400 100860 107584 112620 118080 120128 121032 126075 131200 134480 135144 137842 140775 147600 150160 151290 153914 157440 161376 168100 168930 180192 187700 196800 201720 206763 215168 225240 230871 236160 240256 242064 252150 262400 268960 270288 275684 281550 295200 300320 302580 307828 322752 336200 337860 344605 360384 375400 378225 384785 393600 403440 413526 422325 430336 450480 461742 472320 480512 484128 504300 537920 540576 551368 563100 590400 600640 605160 615656 620289 645504 672400 675720 689210 692613 720768 750800 756450 769570 787200 806880 827052 844650 900960 923484 968256 1008600 1033815 1075840 1081152 1102736 1126200 1154355 1180800 1201280 1210320 1231312 1240578 1291008 1344800 1351440 1378420 1385226 1441536 1501600 1512900 1539140 1613760 1654104 1689300 1723025 1801920 1846968 1923925 1936512 2017200 2067630 2151680 2162304 2205472 2252400 2308710 2361600 2402560 2420640 2462624 2481156 2689600 2702880 2756840 2770452 3003200 3025800 3078280 3101445 3155237 3227520 3308208 3378600 3446050 3463065 3523129 3603840 3693936 3847850 3873024 4034400 4135260 4324608 4410944 4504800 4617420 4841280 4925248 4962312 5169075 5379200 5405760 5513680 5540904 5771775 6006400 6051600 6156560 6202890 6310474 6455040 6616416 6757200 6892100 6926130 7046258 7207680 7387872 7695700 8068800 8270520 8821888 9009600 9234840 9465711 9682560 9850496 9924624 10338150 10569387 10758400 10811520 11027360 11081808 11543550 12012800 12103200 12313120 12405780 12620948 13232832 13514400 13784200 13852260 14092516 14775744 15391400 15507225 15776185 16137600 16541040 17315325 17615645 17643776 18019200 18469680 18931422 19365120 19700992 19849248 20676300 21138774 21623040 22054720 22163616 23087100 24206400 24626240 24811560 25241896 26465664 27028800 27568400 27704520 28185032 28397133 29551488 30782800 31014450 31552370 31708161 32275200 33082080 34630650 35231290 36038400 36939360 37862844 39698496 41352600 42277548 44109440 44327232 46174200 47328555 48412800 49252480 49623120 50483792 52846935 52931328 54057600 55136800 55409040 56370064 56794266 59102976 61565600 62028900 63104740 63416322 66164160 69261300 70462580 73878720 75725688 78880925 79396992 82705200 84555096 88078225 88218880 88654464 92348400 94657110 96825600 98504960 99246240 100967584 105693870 108115200 110273600 110818080 112740128 113588532 123131200 124057800 126209480 126832644 129364717 132328320 138522600 140925160 141985665 144448289 147757440 151451376 157761850 158540805 158793984 165410400 169110192 176156450 177308928 184696800 189314220 198492480 201935168 211387740 220547200 221636160 225480256 227177064 236642775 246262400 248115600 252418960 253665288 258729434 264234675 264656640 277045200 281850320 283971330 288896578 295514880 302902752 315523700 317081610 330820800 338220384 352312900 369393600 378628440 388094151 396984960 403870336 422775480 433344867 441094400 443272320 450960512 454354128 473285550 492524800 496231200 504837920 507330576 517458868 528469350 554090400 563700640 567942660 577793156 605805504 631047400 634163220 646823585 661641600 676440768 704625800 709928325 722241445 738787200 757256880 776188302 792704025 793969920 807740672 845550960 866689734 886544640 901921024 908708256 946571100 992462400 1009675840 1014661152 1034917736 1056938700 1108180800 1127401280 1135885320 1155586312 1164282453 1211611008 1262094800 1268326440 1293647170 1300034601 1323283200 1352881536 1409251600 1419856650 1444482890 1477574400 1514513760 1552376604 1585408050 1691101920 1733379468 1817416512 1893142200 1940470755 1984924800 2019351680 2029322304 2069835472 2113877400 2166724335 2216361600 2254802560 2271770640 2311172624 2328564906 2423222016 2524189600 2536652880 2587294340 2600069202 2705763072 2818503200 2839713300 2888965780 3029027520 3104753208 3170816100 3234117925 3382203840 3466758936 3611207225 3634833024 3786284400 3880941510 3969849600 4038703360 4058644608 4139670944 4227754800 4333448670 4432723200 4509605120 4543541280 4622345248 4657129812 5048379200 5073305760 5174588680 5200138404 5637006400 5679426600 5777931560 5821412265 5922379849 6058055040 6209506416 6341632200 6468235850 6500173005 6764407680 6933517872 7222414450 7269666048 7572568800 7761883020 8117289216 8279341888 8455509600 8666897340 9087082560 9244690496 9314259624 9702353775 10096758400 10146611520 10349177360 10400276808 10833621675 11274012800 11358853200 11555863120 11642824530 11844759698 12116110080 12419012832 12683264400 12936471700 13000346010 13528815360 13867035744 14444828900 15145137600 15523766040 16558683776 16911019200 17333794680 17767139547 18174165120 18489380992 18628519248 19404707550 20193516800 20293223040 20698354720 20800553616 21667243350 22548025600 22717706400 23111726240 23285649060 23689519396 24838025664 25366528800 25872943400 26000692020 27734071488 28889657800 29107061325 29611899245 30290275200 31047532080 32500865025 33117367552 33822038400 34667589360 35534279094 36348330240 36978761984 37257038496 38809415100 40586446080 41396709440 41601107232 43334486700 45435412800 46223452480 46571298120 47379038792 49676051328 50733057600 51745886800 52001384040 53301418641 55468142976 57779315600 58214122650 59223798490 60580550400 62095064160 65001730050 67644076800 69335178720 71068558188 74514076992 77618830200 82793418880 83202214464 86668973400 88835697735 90870825600 92446904960 93142596240 94758077584 99352102656 101466115200 103491773600 104002768080 106602837282 110936285952 115558631200 116428245300 118447596980 124190128320 130003460100 138670357440 142137116376 148059496225 149028153984 155237660400 165586837760 166404428928 173337946800 177671395470 181741651200 184893809920 186285192480 189516155168 202932230400 206983547200 208005536160 213205674564 231117262400 232856490600 236895193960 242817573809 248380256640 260006920200 266507093205 277340714880 284274232752 296118992450 298056307968 310475320800 332808857856 346675893600 355342790940 372570384960 379032310336 413967094400 416011072320 426411349128 444178488675 462234524800 465712981200 473790387920 485635147618 496760513280 520013840400 533014186410 554681429760 568548465504 592237984900 620950641600 693351787200 710685581880 728452721427 745140769920 758064620672 827934188800 832022144640 852822698256 888356977350 924469049600 931425962400 947580775840 971270295236 1040027680800 1066028372820 1137096931008 1184475969800 1214087869045 1241901283200 1332535466025 1386703574400 1421371163760 1456905442854 1490281539840 1516129241344 1664044289280 1705645396512 1776713954700 1862851924800 1895161551680 1942540590472 2080055361600 2132056745640 2185358164281 2274193862016 2368951939600 2428175738090 2483802566400 2665070932050 2773407148800 2842742327520 2913810885708 3411290793024 3553427909400 3642263607135 3725703849600 3790323103360 3885081180944 4160110723200 4264113491280 4370716328562 4548387724032 4737903879200 4856351476180 5330141864100 5685484655040 5827621771416 6070439345225 6822581586048 7106855818800 7284527214270 7451407699200 7580646206720 7770162361888 8320221446400 8528226982560 8741432657124 9475807758400 9712702952360 10660283728200 10926790821405 11370969310080 11655243542832 12140878690450 13645163172096 14213711637600 14569054428540 15540324723776 17056453965120 17482865314248 18211318035675 18951615516800 19425405904720 21320567456400 21853581642810 22741938620160 23310487085664 24281757380900 28427423275200 29138108857080 31080649447552 34112907930240 34965730628496 36422636071350 37903231033600 38850811809440 42641134912800 43707163285620 46620974171328 48563514761800 54633954107025 56854846550400 58276217714160 62161298895104 68225815860480 69931461256992 72845272142700 77701623618880 85282269825600 87414326571240 93241948342656 97127029523600 109267908214050 113709693100800 116552435428320 139862922513984 145690544285400 155403247237760 170564539651200 174828653142480 186483896685312 194254059047200 218535816428100 233104870856640 279725845027968 291381088570800 310806494475520 341129079302400 349657306284960 388508118094400 437071632856200 466209741713280 559451690055936 582762177141600 699314612569920 777016236188800 874143265712400 932419483426560 1165524354283200 1398629225139840 1554032472377600 1748286531424800 2331048708566400 2797258450279680 3496573062849600 4662097417132800 6993146125699200 13986292251398400
• Sum of all divisors σ(n): 51281558088815964
• Sum of proper divisors (its aliquot sum) s(n): 37295265837417564
• 13986292251398400 is an abundant number, because the sum of its proper divisors (37295265837417564) is greater than itself. Its abundance is 23308973586019164

Bases of 13986292251398400

• Binary: 110001101100000111010101101101010111101001000100000000₂
• Hexadecimal: 0x31B0756D5E9100
• Base-36: 3TPQ5YJ48W0

Squares and roots of 13986292251398400

• 13986292251398400 squared (13986292251398400²) is 195616370941526924666755522560000
• 13986292251398400 cubed (13986292251398400³) is 2735947733146153162757607849279619082747904000000
• The square root of 13986292251398400 is 118263655.6656287369
• The cube root of 13986292251398400 is 240935.5397204419

Scales and comparisons

• 13,986,292,251,398,400 seconds is equal to 444,720,831 years, 7 weeks, 6 days, 8 hours.
• To count from 1 to 13,986,292,251,398,400 would take you about one billion, three hundred thirty-four million, one hundred sixty-two thousand, four hundred ninety-three 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 13986292251398400 cubic inches would be around 20078 feet tall.

Recreational maths with 13986292251398400

• 13986292251398400 backwards is 00489315229268931
• 13986292251398400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13986292251398400's digits is 72
• More coming soon!