146328121704960

Names of 146328121704960

• Cardinal: 146328121704960 can be written as One hundred forty-six trillion, three hundred twenty-eight billion, one hundred twenty-one million, seven hundred four thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.4632812170496 × 10¹⁴

Factors of 146328121704960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 8818

Divisors of 146328121704960

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 64 65 68 72 78 80 85 90 96 102 104 117 120 128 130 136 144 153 156 160 170 180 192 195 197 204 208 221 234 240 255 256 260 272 288 289 306 312 320 340 360 384 390 394 408 416 442 468 480 510 512 520 544 576 578 585 591 612 624 640 663 680 720 765 768 780 788 816 832 867 884 936 960 985 1020 1040 1088 1105 1152 1156 1170 1182 1224 1248 1280 1326 1360 1440 1445 1530 1536 1560 1576 1632 1664 1734 1768 1773 1872 1920 1970 1989 2040 2080 2176 2210 2304 2312 2340 2364 2448 2496 2560 2561 2601 2652 2720 2880 2890 2955 3060 3120 3152 3264 3315 3328 3349 3468 3536 3546 3744 3757 3840 3940 3978 4080 4160 4335 4352 4420 4608 4624 4680 4728 4896 4992 5122 5202 5304 5440 5760 5780 5910 6120 6240 6304 6528 6630 6656 6698 6936 7072 7092 7488 7514 7680 7683 7880 7956 8160 8320 8581 8670 8704 8840 8865 9248 9360 9456 9792 9945 9984 10047 10244 10404 10608 10880 11271 11520 11560 11820 12240 12480 12608 12805 13005 13056 13260 13396 13872 14144 14184 14976 15028 15366 15760 15912 16320 16640 16745 17162 17340 17680 17730 18496 18720 18785 18912 19584 19890 19968 20094 20488 20808 21216 21760 22542 23040 23049 23120 23640 24480 24960 25216 25610 25743 26010 26112 26520 26792 27744 28288 28368 29952 30056 30141 30732 31520 31824 32640 33280 33490 33813 34324 34680 35360 35460 36992 37440 37570 37824 38415 39168 39780 40188 40976 41616 42432 42905 43520 43537 45084 46098 46240 47280 48960 49920 50235 50432 51220 51486 52020 53040 53584 55488 56355 56576 56736 56933 59904 60112 60282 61464 63040 63648 65280 66980 67626 68648 69360 70720 70920 73984 74880 75140 75648 76830 77229 78336 79560 80376 81952 83232 84864 85810 87074 90168 92196 92480 94560 97920 99840 100470 100864 102440 102972 104040 106080 107168 110976 111553 112710 113152 113472 113866 115245 120224 120564 122928 126080 127296 128715 130560 130611 133960 135252 137296 138720 141440 141840 145877 147968 149760 150280 150705 151296 153660 154458 159120 160752 163904 166464 169065 169728 170799 171620 174148 180336 184392 184960 189120 195840 200940 204880 205944 208080 212160 214336 217685 221952 223106 225420 226944 227732 230490 240448 241128 245856 252160 254592 257430 261222 267920 270504 274592 277440 282880 283680 284665 291754 299520 300560 301410 302592 307320 308916 318240 321504 327808 332928 334659 338130 339456 341598 343240 348296 360672 368784 369920 378240 386145 391680 391833 401880 409760 411888 416160 424320 428672 435370 437631 443904 446212 450840 453888 455464 460980 480896 482256 491712 504320 509184 512397 514860 522444 535840 541008 549184 554880 557765 565760 567360 569330 583508 601120 602820 614640 617832 636480 643008 653055 655616 665856 669318 676260 683196 686480 696592 721344 729385 737568 739840 740129 756480 772290 783666 803760 819520 823776 832320 848640 853995 857344 870740 875262 892424 901680 907776 910928 921960 961792 964512 983424 1003977 1018368 1024794 1029720 1044888 1071680 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5274225840 5461634880 5517651648 5603864955 5625840896 5684190720 5713710336 5802987060 5862504876 5977455952 6189852864 6329071008 6348567040 6351046949 6491354880 6724637946 6897064560 7032301120 7142137920 7282179840 7328131095 7356868864 7471819940 7737316080 7789625856 7816673168 7911338760 8253137152 8276477472 8438761344 8526286080 8738615808 8793757314 8966183928 9196086080 9284779296 9522850560 9737032320 9770841460 10316421440 10345596840 10548451680 10923269760 11035303296 11207729910 11251681792 11427420672 11605974120 11725009752 11954911904 12379705728 12658142016 12702093898 12982709760 13449275892 13794129120 14064602240 14284275840 14564359680 14656262190 14713737728 14943639880 15474632160 15633346336 15822677520 16506274304 16552954944 16811594865 16877522688 17052572160 17587514628 17932367856 18392172160 18569558592 19045701120 19053140847 19474064640 19541682920 20632842880 20691193680 21096903360 21846539520 21984393285 22070606592 22415459820 23211948240 23450019504 23909823808 24759411456 25316284032 25404187796 26898551784 27588258240 28129204480 28568551680 29312524380 29887279760 30949264320 31266692672 31645355040 31755234745 33105909888 33623189730 33755045376 35175029256 35864735712 36784344320 37139117184 38106281694 38948129280 39083365840 41265685760 41382387360 42193806720 43693079040 43968786570 44141213184 44830919640 46423896480 46900039008 47819647616 49518822912 50632568064 50808375592 53797103568 55176516480 56258408960 57137103360 57159422541 58625048760 59774559520 61898528640 62533385344 63290710080 63510469490 66211819776 67246379460 70350058512 71729471424 73568688640 74278234368 76212563388 78166731680 82531371520 82764774720 84387613440 87937573140 89661839280 92847792960 93800078016 95265704235 95639295232 101265136128 101616751184 107594207136 110353032960 114318845082 117250097520 119549119040 123797057280 125066770688 126581420160 127020938980 132423639552 134492758920 140700117024 143458942848 148556468736 152425126776 156333463360 165529549440 168775226880 175875146280 179323678560 185695585920 187600156032 190531408470 191278590464 203233502368 215188414272 220706065920 228637690164 234500195040 239098238080 247594114560 250133541376 253162840320 254041877960 268985517840 281400234048 285797112705 286917885696 304850253552 312666926720 331059098880 351750292560 358647357120 371391171840 375200312064 381062816940 406467004736 430376828544 457275380328 469000390080 478196476160 506325680640 508083755920 537971035680 562800468096 571594225410 573835771392 609700507104 625333853440 662118197760 703500585120 717294714240 742782343680 750400624128 762125633880 812934009472 860753657088 914550760656 938000780160 956392952320 1016167511840 1075942071360 1125600936192 1143188450820 1219401014208 1250667706880 1407001170240 1434589428480 1524251267760 1625868018944 1721507314176 1829101521312 1876001560320 2032335023680 2151884142720 2251201872384 2286376901640 2438802028416 2814002340480 2869178856960 3048502535520 3251736037888 3658203042624 3752003120640 4064670047360 4303768285440 4572753803280 4877604056832 5628004680960 6097005071040 7316406085248 8129340094720 8607536570880 9145507606560 9755208113664 11256009361920 12194010142080 14632812170496 16258680189440 18291015213120 24388020284160 29265624340992 36582030426240 48776040568320 73164060852480 146328121704960
• Sum of all divisors σ(n): 582760823076432
• Sum of proper divisors (its aliquot sum) s(n): 436432701371472
• 146328121704960 is an abundant number, because the sum of its proper divisors (436432701371472) is greater than itself. Its abundance is 290104579666512

Bases of 146328121704960

• Binary: 100001010001010110101011101101110000001000000000₂
• Hexadecimal: 0x8515ABB70200
• Base-36: 1FVA7LKZK0

Squares and roots of 146328121704960

• 146328121704960 squared (146328121704960²) is 21411919201701585857288601600
• 146328121704960 cubed (146328121704960³) is 3133165918883359621648765192799766183936000
• The square root of 146328121704960 is 12096616.1262131485
• The cube root of 146328121704960 is 52695.7915695927

Scales and comparisons

• 146,328,121,704,960 seconds is equal to 4,652,781 years, 33 weeks, 4 days, 17 hours, 36 minutes.
• To count from 1 to 146,328,121,704,960 would take you about eleven million, six hundred thirty-one thousand, nine hundred fifty-four 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 146328121704960 cubic inches would be around 4391.3 feet tall.

Recreational maths with 146328121704960

• 146328121704960 backwards is 069407121823641
• The number of decimal digits it has is: 15
• The sum of 146328121704960's digits is 54
• More coming soon!