13005872400000
13,005,872,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13005872400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
13005872400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13005872400000:
27 × 3 × 55 × 19 × 41 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 19 × 41 × 13913)See below for interesting mathematical facts about the number 13005872400000 from the Numbermatics database.
Names of 13005872400000
- Cardinal: 13005872400000 can be written as Thirteen trillion, five billion, eight hundred seventy-two million, four hundred thousand.
Scientific notation
- Scientific notation: 1.30058724 × 1013
Factors of 13005872400000
Divisors of 13005872400000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 41 48 50 57 60 64 75 76 80 82 95 96 100 114 120 123 125 128 150 152 160 164 190 192 200 205 228 240 246 250 285 300 304 320 328 375 380 384 400 410 456 475 480 492 500 570 600 608 615 625 640 656 750 760 779 800 820 912 950 960 984 1000 1025 1140 1200 1216 1230 1250 1312 1425 1500 1520 1558 1600 1640 1824 1875 1900 1920 1968 2000 2050 2280 2337 2375 2400 2432 2460 2500 2624 2850 3000 3040 3075 3116 3125 3200 3280 3648 3750 3800 3895 3936 4000 4100 4560 4674 4750 4800 4920 5000 5125 5248 5700 6000 6080 6150 6232 6250 6560 7125 7296 7500 7600 7790 7872 8000 8200 9120 9348 9375 9500 9600 9840 10000 10250 11400 11685 11875 12000 12160 12300 12464 12500 13120 13913 14250 15000 15200 15375 15580 15744 16000 16400 18240 18696 18750 19000 19475 19680 20000 20500 22800 23370 23750 24000 24600 24928 25000 25625 26240 27826 28500 30000 30400 30750 31160 32800 35625 36480 37392 37500 38000 38950 39360 40000 41000 41739 45600 46740 47500 48000 49200 49856 50000 51250 55652 57000 58425 59375 60000 60800 61500 62320 65600 69565 71250 74784 75000 76000 76875 77900 78720 80000 82000 83478 91200 93480 95000 97375 98400 99712 100000 102500 111304 114000 116850 118750 120000 123000 124640 128125 131200 139130 142500 149568 150000 152000 153750 155800 164000 166956 178125 182400 186960 190000 194750 196800 200000 205000 208695 222608 228000 233700 237500 240000 246000 249280 256250 264347 278260 285000 292125 299136 300000 304000 307500 311600 328000 333912 347825 356250 373920 380000 384375 389500 393600 400000 410000 417390 445216 456000 467400 475000 486875 492000 498560 512500 528694 556520 570000 570433 584250 600000 615000 623200 656000 667824 695650 712500 747840 760000 768750 779000 793041 820000 834780 890432 912000 934800 950000 973750 984000 1025000 1043475 1057388 1113040 1140000 1140866 1168500 1200000 1230000 1246400 1321735 1335648 1391300 1425000 1460625 1495680 1520000 1537500 1558000 1586082 1640000 1669560 1711299 1739125 1780864 1869600 1900000 1947500 1968000 2050000 2086950 2114776 2226080 2280000 2281732 2337000 2434375 2460000 2492800 2643470 2671296 2782600 2850000 2852165 2921250 3075000 3116000 3172164 3280000 3339120 3422598 3478250 3739200 3800000 3895000 3965205 4100000 4173900 4229552 4452160 4560000 4563464 4674000 4868750 4920000 5217375 5286940 5342592 5565200 5700000 5704330 5842500 6150000 6232000 6344328 6608675 6678240 6845196 6956500 7303125 7478400 7600000 7790000 7930410 8200000 8347800 8459104 8556495 8695625 8904320 9126928 9348000 9737500 9840000 10434750 10573880 10838227 11130400 11400000 11408660 11685000 12300000 12464000 12688656 13217350 13356480 13690392 13913000 14260825 14606250 15580000 15860820 16400000 16695600 16918208 17112990 17391250 18253856 18696000 19475000 19826025 20869500 21147760 21676454 22260800 22800000 22817320 23370000 24600000 25377312 26086875 26434700 26712960 27380784 27826000 28521650 29212500 31160000 31721640 32514681 33043375 33391200 33836416 34225980 34782500 36507712 37392000 38950000 39652050 41739000 42295520 42782475 43352908 43478125 44521600 45634640 46740000 49200000 50754624 52173750 52869400 54191135 54761568 55652000 57043300 58425000 62320000 63443280 65029362 66086750 66782400 68451960 69565000 71304125 73015424 77900000 79304100 83478000 84591040 85564950 86705816 86956250 91269280 93480000 99130125 101509248 104347500 105738800 108382270 109523136 111304000 114086600 116850000 126886560 130058724 130434375 132173500 133564800 136903920 139130000 142608250 155800000 158608200 162573405 165216875 166956000 169182080 171129900 173411632 173912500 182538560 186960000 198260250 208695000 211477600 213912375 216764540 219046272 222608000 228173200 233700000 253773120 260117448 260868750 264347000 270955675 273807840 278260000 285216500 311600000 317216400 325146810 330433750 333912000 342259800 346823264 347825000 356520625 365077120 396520500 417390000 422955200 427824750 433529080 456346400 467400000 495650625 507546240 520234896 521737500 528694000 541911350 547615680 556520000 570433000 634432800 650293620 660867500 667824000 684519600 693646528 695650000 713041250 793041000 812867025 826084375 834780000 845910400 855649500 867058160 912692800 934800000 991301250 1040469792 1043475000 1057388000 1069561875 1083822700 1095231360 1113040000 1140866000 1268865600 1300587240 1321735000 1354778375 1369039200 1387293056 1391300000 1426082500 1586082000 1625734050 1652168750 1669560000 1711299000 1734116320 1782603125 1825385600 1982602500 2080939584 2086950000 2114776000 2139123750 2167645400 2281732000 2478253125 2537731200 2601174480 2643470000 2709556750 2738078400 2782600000 2852165000 3172164000 3251468100 3304337500 3339120000 3422598000 3468232640 3565206250 3965205000 4064335125 4161879168 4173900000 4229552000 4278247500 4335290800 4563464000 4956506250 5202348960 5286940000 5347809375 5419113500 5476156800 5565200000 5704330000 6344328000 6502936200 6608675000 6773891875 6845196000 6936465280 7130412500 7930410000 8128670250 8347800000 8556495000 8670581600 9126928000 9913012500 10404697920 10573880000 10695618750 10838227000 11408660000 12688656000 13005872400 13217350000 13547783750 13690392000 14260825000 15860820000 16257340500 16695600000 17112990000 17341163200 19826025000 20321675625 20809395840 21147760000 21391237500 21676454000 22817320000 26011744800 26434700000 27095567500 27380784000 28521650000 31721640000 32514681000 33869459375 34225980000 34682326400 39652050000 40643351250 42782475000 43352908000 45634640000 52023489600 52869400000 54191135000 57043300000 63443280000 65029362000 67738918750 68451960000 79304100000 81286702500 85564950000 86705816000 101608378125 104046979200 105738800000 108382270000 114086600000 130058724000 135477837500 136903920000 158608200000 162573405000 171129900000 173411632000 203216756250 216764540000 228173200000 260117448000 270955675000 317216400000 325146810000 342259800000 406433512500 433529080000 520234896000 541911350000 650293620000 684519600000 812867025000 867058160000 1083822700000 1300587240000 1625734050000 2167645400000 2601174480000 3251468100000 4335290800000 6502936200000 13005872400000
- Sum of all divisors σ(n): 46565438371200
- Sum of proper divisors (its aliquot sum) s(n): 33559565971200
- 13005872400000 is an abundant number, because the sum of its proper divisors (33559565971200) is greater than itself. Its abundance is 20553693571200
Bases of 13005872400000
- Binary: 101111010100001010100110011110000110100000002
- Hexadecimal: 0xBD42A678680
- Base-36: 4LYTCMIDC
Squares and roots of 13005872400000
- 13005872400000 squared (130058724000002) is 169152716885081760000000000
- 13005872400000 cubed (130058724000003) is 2199978651920698834127424000000000000000
-
The
square root of 13005872400000 is 3606365.5388770563 -
The
cube root of 13005872400000 is 23516.8868513651
Scales and comparisons
How big is 13005872400000?- 13,005,872,400,000 seconds is equal to 413,546 years, 26 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 13,005,872,400,000 would take you about one million, thirty-three thousand, eight hundred sixty-six 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 13005872400000 cubic inches would be around 1959.7 feet tall.
Recreational maths with 13005872400000
- 13005872400000 backwards is 00000427850031
- 13005872400000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13005872400000's digits is 30
- More coming soon!
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