146045036072140800
146,045,036,072,140,800 is an even composite number composed of six prime numbers multiplied together.
146045036072140800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 146045036072140800:
217 × 3 × 52 × 7 × 232 × 20032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 23 × 23 × 2003 × 2003)See below for interesting mathematical facts about the number 146045036072140800 from the Numbermatics database.
Names of 146045036072140800
- Cardinal: 146045036072140800 can be written as One hundred forty-six quadrillion, forty-five trillion, thirty-six billion, seventy-two million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.460450360721408 × 1017
Factors of 146045036072140800
Divisors of 146045036072140800
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 80 84 92 96 100 105 112 115 120 128 138 140 150 160 161 168 175 184 192 200 210 224 230 240 256 276 280 300 320 322 336 345 350 368 384 400 420 448 460 480 483 512 525 529 552 560 575 600 640 644 672 690 700 736 768 800 805 840 896 920 960 966 1024 1050 1058 1104 1120 1150 1200 1280 1288 1344 1380 1400 1472 1536 1587 1600 1610 1680 1725 1792 1840 1920 1932 2003 2048 2100 2116 2208 2240 2300 2400 2415 2560 2576 2645 2688 2760 2800 2944 3072 3174 3200 3220 3360 3450 3584 3680 3703 3840 3864 4006 4025 4096 4200 4232 4416 4480 4600 4800 4830 5120 5152 5290 5376 5520 5600 5888 6009 6144 6348 6400 6440 6720 6900 7168 7360 7406 7680 7728 7935 8012 8050 8192 8400 8464 8832 8960 9200 9600 9660 10015 10240 10304 10580 10752 11040 11109 11200 11776 12018 12075 12288 12696 12800 12880 13225 13440 13800 14021 14336 14720 14812 15360 15456 15870 16024 16100 16384 16800 16928 17664 17920 18400 18515 19200 19320 20030 20480 20608 21160 21504 22080 22218 22400 23552 24036 24150 24576 25392 25600 25760 26450 26880 27600 28042 28672 29440 29624 30045 30720 30912 31740 32048 32200 32768 33600 33856 35328 35840 36800 37030 38400 38640 39675 40060 40960 41216 42063 42320 43008 44160 44436 44800 46069 47104 48072 48300 49152 50075 50784 51200 51520 52900 53760 55200 55545 56084 57344 58880 59248 60090 61440 61824 63480 64096 64400 65536 67200 67712 70105 70656 71680 73600 74060 76800 77280 79350 80120 81920 82432 84126 84640 86016 88320 88872 89600 92138 92575 94208 96144 96600 98304 100150 101568 102400 103040 105800 107520 110400 111090 112168 114688 117760 118496 120180 122880 123648 126960 128192 128800 131072 134400 135424 138207 140210 141312 143360 147200 148120 150225 153600 154560 158700 160240 163840 164864 168252 169280 172032 176640 177744 179200 184276 185150 188416 192288 193200 196608 200300 203136 204800 206080 210315 211600 215040 220800 222180 224336 229376 230345 235520 236992 240360 245760 247296 253920 256384 257600 268800 270848 276414 277725 280420 282624 286720 294400 296240 300450 307200 309120 317400 320480 322483 327680 329728 336504 338560 344064 350525 353280 355488 358400 368552 370300 376832 384576 386400 393216 400600 406272 409600 412160 420630 423200 430080 441600 444360 448672 458752 460690 471040 473984 480720 491520 494592 507840 512768 515200 537600 541696 552828 555450 560840 565248 573440 588800 592480 600900 614400 618240 634800 640960 644966 655360 659456 673008 677120 688128 691035 701050 706560 710976 716800 737104 740600 753664 769152 772800 801200 812544 819200 824320 841260 846400 860160 883200 888720 897344 917504 921380 942080 947968 961440 967449 983040 989184 1015680 1025536 1030400 1051575 1059587 1075200 1083392 1105656 1110900 1121680 1130496 1146880 1151725 1177600 1184960 1201800 1228800 1236480 1269600 1281920 1289932 1318912 1346016 1354240 1376256 1382070 1402100 1413120 1421952 1433600 1474208 1481200 1507328 1538304 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1782776319240 1822828707840 1840517152768 1889816719360 1901628073856 1971982663680 1984307555328 2037458650560 2066987036800 2083232808960 2156856038400 2173289227264 2228470399050 2267780063232 2278535884800 2300646440960 2362270899200 2377035092320 2430438277120 2464978329600 2480384444160 2546823313200 2604041011200 2629310218240 2645743407104 2716611534080 2760775729152 2834725079040 2852442110784 2875808051200 2916525932544 2971293865400 3023706750976 3038047846400 3100480555200 3170136883200 3259933840896 3286637772800 3307179258880 3395764417600 3450969661440 3472054681600 3543406348800 3565552638480 3645657415680 3681034305536 3779633438720 3803256147712 3943965327360 3968615110656 4074917301120 4133974073600 4313712076800 4346578454528 4456940798100 4535560126464 4557071769600 4601292881920 4724541798400 4754070184640 4860876554240 4929956659200 4960768888320 5093646626400 5208082022400 5291486814208 5433223068160 5521551458304 5669450158080 5704884221568 5751616102400 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132287170355200 138038786457600 139090510544896 142622105539200 151185337548800 152130245908480 158744604426240 162996692044800 173863138181120 181422405058560 182556295090176 190162807385600 198430755532800 208635765817344 211659472568320 217328922726400 226778006323200 228195368862720 243408393453568 253991367081984 260794707271680 264574340710400 276077572915200 278181021089792 285244211078400 302370675097600 304260491816960 317489208852480 325993384089600 347726276362240 365112590180352 380325614771200 396861511065600 417271531634688 423318945136640 434657845452800 453556012646400 456390737725440 486816786907136 521589414543360 529148681420800 570488422156800 608520983633920 634978417704960 651986768179200 695452552724480 730225180360704 760651229542400 793723022131200 834543063269376 869315690905600 907112025292800 912781475450880 973633573814272 1043178829086720 1058297362841600 1140976844313600 1217041967267840 1269956835409920 1303973536358400 1390905105448960 1460450360721408 1521302459084800 1587446044262400 1738631381811200 1825562950901760 1947267147628544 2086357658173440 2116594725683200 2281953688627200 2434083934535680 2607947072716800 2920900721442816 3042604918169600 3174892088524800 3477262763622400 3651125901803520 4172715316346880 4563907377254400 4868167869071360 5215894145433600 5841801442885632 6085209836339200 6349784177049600 6954525527244800 7302251803607040 9127814754508800 9736335738142720 10431788290867200 12170419672678400 14604503607214080 18255629509017600 20863576581734400 24340839345356800 29209007214428160 36511259018035200 48681678690713600 73022518036070400 146045036072140800
- Sum of all divisors σ(n): 577236577958810784
- Sum of proper divisors (its aliquot sum) s(n): 431191541886669984
- 146045036072140800 is an abundant number, because the sum of its proper divisors (431191541886669984) is greater than itself. Its abundance is 285146505814529184
Bases of 146045036072140800
- Binary: 10000001101101101100101111110000000100101000000000000000002
- Hexadecimal: 0x206DB2FC04A0000
- Base-36: 13Y0N7CQ9IIO
Squares and roots of 146045036072140800
- 146045036072140800 squared (1460450360721408002) is 21329152561312907471341895024640000
- 146045036072140800 cubed (1460450360721408003) is 3115016855205137908011958222490351067633549312000000
-
The
square root of 146045036072140800 is 382158391.3407381927 -
The
cube root of 146045036072140800 is 526617.8796316777
Scales and comparisons
How big is 146045036072140800?- 146,045,036,072,140,800 seconds is equal to 4,643,780,400 years, 7 weeks, 18 hours, 40 minutes.
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To count from 1 to 146,045,036,072,140,800 would take you about thirteen billion, nine hundred thirty-one million, three hundred forty-one thousand, two hundred 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 146045036072140800 cubic inches would be around 43884.8 feet tall.
Recreational maths with 146045036072140800
- 146045036072140800 backwards is 008041270630540641
- The number of decimal digits it has is: 18
- The sum of 146045036072140800's digits is 51
- More coming soon!
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The information we have on file for 146045036072140800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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