137996012448000
137,996,012,448,000 is an even composite number composed of five prime numbers multiplied together.
137996012448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137996012448000:
28 × 33 × 53 × 73 × 465649
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 465649)See below for interesting mathematical facts about the number 137996012448000 from the Numbermatics database.
Names of 137996012448000
- Cardinal: 137996012448000 can be written as One hundred thirty-seven trillion, nine hundred ninety-six billion, twelve million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.37996012448 × 1014
Factors of 137996012448000
Divisors of 137996012448000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 336 343 350 360 375 378 384 392 400 420 432 441 448 450 480 490 500 504 525 540 560 576 588 600 630 640 672 675 686 700 720 735 750 756 768 784 800 840 864 875 882 896 900 945 960 980 1000 1008 1029 1050 1080 1120 1125 1152 1176 1200 1225 1260 1280 1323 1344 1350 1372 1400 1440 1470 1500 1512 1568 1575 1600 1680 1715 1728 1750 1764 1792 1800 1890 1920 1960 2000 2016 2058 2100 2160 2205 2240 2250 2304 2352 2400 2450 2520 2625 2646 2688 2700 2744 2800 2880 2940 3000 3024 3087 3136 3150 3200 3360 3375 3430 3456 3500 3528 3600 3675 3780 3840 3920 4000 4032 4116 4200 4320 4410 4480 4500 4704 4725 4800 4900 5040 5145 5250 5292 5376 5400 5488 5600 5760 5880 6000 6048 6125 6174 6272 6300 6400 6615 6720 6750 6860 6912 7000 7056 7200 7350 7560 7840 7875 8000 8064 8232 8400 8575 8640 8820 8960 9000 9261 9408 9450 9600 9800 10080 10290 10500 10584 10800 10976 11025 11200 11520 11760 12000 12096 12250 12348 12544 12600 13230 13440 13500 13720 14000 14112 14400 14700 15120 15435 15680 15750 16000 16128 16464 16800 17150 17280 17640 18000 18375 18522 18816 18900 19200 19600 20160 20580 21000 21168 21600 21952 22050 22400 23520 23625 24000 24192 24500 24696 25200 25725 26460 26880 27000 27440 28000 28224 28800 29400 30240 30870 31360 31500 32000 32928 33075 33600 34300 34560 35280 36000 36750 37044 37632 37800 39200 40320 41160 42000 42336 42875 43200 43904 44100 44800 46305 47040 47250 48000 48384 49000 49392 50400 51450 52920 54000 54880 55125 56000 56448 57600 58800 60480 61740 62720 63000 65856 66150 67200 68600 70560 72000 73500 74088 75600 77175 78400 80640 82320 84000 84672 85750 86400 87808 88200 92610 94080 94500 96000 98000 98784 100800 102900 105840 108000 109760 110250 112000 112896 117600 120960 123480 126000 128625 131712 132300 134400 137200 141120 144000 147000 148176 151200 154350 156800 164640 165375 168000 169344 171500 172800 176400 185220 188160 189000 196000 197568 201600 205800 211680 216000 219520 220500 224000 231525 235200 241920 246960 252000 257250 263424 264600 274400 282240 288000 294000 296352 302400 308700 313600 329280 330750 336000 338688 343000 352800 370440 378000 385875 392000 395136 403200 411600 423360 432000 439040 441000 463050 465649 470400 493920 504000 514500 529200 548800 564480 588000 592704 604800 617400 658560 661500 672000 686000 705600 740880 756000 771750 784000 790272 823200 846720 864000 882000 926100 931298 940800 987840 1008000 1029000 1058400 1097600 1157625 1176000 1185408 1209600 1234800 1317120 1323000 1372000 1396947 1411200 1481760 1512000 1543500 1568000 1646400 1693440 1764000 1852200 1862596 1975680 2016000 2058000 2116800 2195200 2315250 2328245 2352000 2370816 2469600 2646000 2744000 2793894 2822400 2963520 3024000 3087000 3259543 3292800 3528000 3704400 3725192 3951360 4116000 4190841 4233600 4630500 4656490 4704000 4939200 5292000 5488000 5587788 5927040 6048000 6174000 6519086 6585600 6984735 7056000 7408800 7450384 8232000 8381682 8467200 9261000 9312980 9778629 9878400 10584000 10976000 11175576 11641225 11854080 12348000 12572523 13038172 13969470 14112000 14817600 14900768 16297715 16464000 16763364 18522000 18625960 19557258 19756800 20954205 21168000 22351152 22816801 23282450 24696000 25145046 26076344 27938940 29335887 29635200 29801536 32595430 32928000 33526728 34923675 37044000 37251920 39114516 41908410 42336000 44702304 45633602 46564900 48893145 49392000 50290092 52152688 55877880 58206125 58671774 59270400 59603072 62862615 65190860 67053456 68450403 69847350 74088000 74503840 78229032 81488575 83816820 88007661 89404608 91267204 93129800 97786290 98784000 100580184 104305376 104771025 111755760 114084005 116412250 117343548 119206144 125725230 130381720 134106912 136900806 139694700 146679435 148176000 149007680 156458064 159717607 162977150 167633640 174618375 176015322 178809216 182534408 186259600 195572580 201160368 205351209 208610752 209542050 223511520 228168010 232824500 234687096 244465725 251450460 260763440 268213824 273801612 279389400 293358870 296352000 298015360 312916128 314313075 319435214 325954300 335267280 342252015 349236750 352030644 357618432 365068816 372519200 391145160 402320736 407442875 410702418 417221504 419084100 440038305 447023040 456336020 465649000 469374192 479152821 488931450 502900920 521526880 523855125 536427648 547603224 558778800 570420025 586717740 596030720 616053627 625832256 628626150 638870428 651908600 670534560 684504030 698473500 704061288 730137632 733397175 745038400 782290320 798588035 804641472 814885750 821404836 834443008 838168200 880076610 894046080 912672040 931298000 938748384 958305642 977862900 1005801840 1026756045 1043053760 1047710250 1072855296 1095206448 1117557600 1140840050 1173435480 1222328625 1232107254 1251664512 1257252300 1277740856 1303817200 1341069120 1369008060 1396947000 1408122576 1437458463 1460275264 1466794350 1490076800 1564580640 1571565375 1597176070 1609282944 1629771500 1642809672 1676336400 1711260075 1760153220 1788092160 1825344080 1862596000 1877496768 1916611284 1955725800 2011603680 2053512090 2086107520 2095420500 2190412896 2200191525 2235115200 2281680100 2346870960 2395764105 2444657250 2464214508 2503329024 2514504600 2555481712 2607634400 2682138240 2738016120 2793894000 2816245152 2852100125 2874916926 2920550528 2933588700 2980153600 3080268135 3129161280 3143130750 3194352140 3218565888 3259543000 3285619344 3352672800 3422520150 3520306440 3650688160 3666985875 3725192000 3754993536 3833222568 3911451600 3992940175 4023207360 4107024180 4172215040 4190841000 4312375389 4380825792 4400383050 4470230400 4563360200 4693741920 4791528210 4889314500 4928429016 5029009200 5110963424 5133780225 5215268800 5364276480 5476032240 5587788000 5632490304 5704200250 5749833852 5841101056 5867177400 6160536270 6258322560 6286261500 6388704280 6519086000 6571238688 6705345600 6845040300 7040612880 7187292315 7301376320 7333971750 7450384000 7509987072 7666445136 7822903200 7985880350 8046414720 8214048360 8381682000 8556300375 8624750778 8761651584 8800766100 8940460800 9126720400 9387483840 9583056420 9778629000 9856858032 10058018400 10221926848 10267560450 10430537600 10952064480 11000957625 11175576000 11264980608 11408400500 11499667704 11734354800 11978820525 12321072540 12516645120 12572523000 12777408560 13038172000 13142477376 13410691200 13690080600 14081225760 14374584630 14602752640 14667943500 14900768000 15332890272 15401340675 15645806400 15971760700 16092829440 16428096720 16763364000 17112600750 17249501556 17523303168 17601532200 18253440800 18774967680 19166112840 19557258000 19713716064 19964700875 20116036800 20443853696 20535120900 20861075200 21561876945 21904128960 22001915250 22351152000 22529961216 22816801000 22999335408 23468709600 23957641050 24642145080 25145046000 25554817120 25668901125 26076344000 26284954752 26821382400 27380161200 28162451520 28749169260 29205505280 29335887000 30665780544 30802681350 31291612800 31943521400 32856193440 33526728000 34225201500 34499003112 35203064400 35936461575 36506881600 37549935360 38332225680 39114516000 39427432128 39929401750 40232073600 40887707392 41070241800 43123753890 43808257920 44003830500 44702304000 45633602000 45998670816 46937419200 47915282100 49284290160 50290092000 51109634240 51337802250 52152688000 52569909504 54760322400 56324903040 57498338520 58671774000 59894102625 61331561088 61605362700 62583225600 63887042800 65712386880 67053456000 68450403000 68998006224 70406128800 71872923150 73013763200 76664451360 77006703375 78229032000 78854864256 79858803500 80464147200 82140483600 86247507780 87616515840 88007661000 91267204000 91997341632 93874838400 95830564200 98568580320 100580184000 102219268480 102675604500 104305376000 107809384725 109520644800 112649806080 114996677040 117343548000 119788205250 122663122176 123210725400 127774085600 131424773760 134106912000 136900806000 137996012448 140812257600 143745846300 146027526400 153328902720 154013406750 156458064000 157709728512 159717607000 164280967200 172495015560 176015322000 179682307875 182534408000 183994683264 187749676800 191661128400 197137160640 201160368000 204438536960 205351209000 215618769450 219041289600 229993354080 234687096000 239576410500 246421450800 255548171200 262849547520 273801612000 275992024896 281624515200 287491692600 306657805440 308026813500 312916128000 319435214000 328561934400 344990031120 352030644000 359364615750 365068816000 367989366528 383322256800 394274321280 402320736000 410702418000 431237538900 438082579200 459986708160 469374192000 479152821000 492842901600 511096342400 539046923625 547603224000 551984049792 563249030400 574983385200 613315610880 616053627000 638870428000 657123868800 689980062240 704061288000 718729231500 730137632000 766644513600 788548642560 821404836000 862475077800 919973416320 938748384000 958305642000 985685803200 1022192684800 1078093847250 1095206448000 1103968099584 1149966770400 1232107254000 1277740856000 1314247737600 1379960124480 1408122576000 1437458463000 1533289027200 1642809672000 1724950155600 1839946832640 1916611284000 1971371606400 2156187694500 2190412896000 2299933540800 2464214508000 2555481712000 2759920248960 2816245152000 2874916926000 3066578054400 3285619344000 3449900311200 3833222568000 3942743212800 4312375389000 4599867081600 4928429016000 5110963424000 5519840497920 5749833852000 6571238688000 6899800622400 7666445136000 8624750778000 9199734163200 9856858032000 11499667704000 13799601244800 15332890272000 17249501556000 19713716064000 22999335408000 27599202489600 34499003112000 45998670816000 68998006224000 137996012448000
- Sum of all divisors σ(n): 593916086400000
- Sum of proper divisors (its aliquot sum) s(n): 455920073952000
- 137996012448000 is an abundant number, because the sum of its proper divisors (455920073952000) is greater than itself. Its abundance is 317924061504000
Bases of 137996012448000
- Binary: 111110110000001101100110100110101101001000000002
- Hexadecimal: 0x7D81B34D6900
- Base-36: 1CWYHQUYO0
Squares and roots of 137996012448000
- 137996012448000 squared (1379960124480002) is 19042899451548570952704000000
- 137996012448000 cubed (1379960124480003) is 2627844189761908970065952403259392000000000
-
The
square root of 137996012448000 is 11747170.4017605873 -
The
cube root of 137996012448000 is 51675.9947828491
Scales and comparisons
How big is 137996012448000?- 137,996,012,448,000 seconds is equal to 4,387,846 years, 18 weeks.
-
To count from 1 to 137,996,012,448,000 would take you about ten million, nine hundred sixty-nine thousand, six hundred fifteen 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 137996012448000 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137996012448000
- 137996012448000 backwards is 000844210699731
- 137996012448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137996012448000's digits is 54
- More coming soon!
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The information we have on file for 137996012448000 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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