13833142400
13,833,142,400 is an even composite number composed of six prime numbers multiplied together.
13833142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13833142400:
27 × 52 × 7 × 11 × 31 × 1811
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 31 × 1811)See below for interesting mathematical facts about the number 13833142400 from the Numbermatics database.
Names of 13833142400
- Cardinal: 13833142400 can be written as Thirteen billion, eight hundred thirty-three million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.38331424 × 1010
Factors of 13833142400
Divisors of 13833142400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 50 55 56 62 64 70 77 80 88 100 110 112 124 128 140 154 155 160 175 176 200 217 220 224 248 275 280 308 310 320 341 350 352 385 400 434 440 448 496 550 560 616 620 640 682 700 704 770 775 800 868 880 896 992 1085 1100 1120 1232 1240 1364 1400 1408 1540 1550 1600 1705 1736 1760 1811 1925 1984 2170 2200 2240 2387 2464 2480 2728 2800 3080 3100 3200 3410 3472 3520 3622 3850 3968 4340 4400 4480 4774 4928 4960 5425 5456 5600 6160 6200 6820 6944 7040 7244 7700 8525 8680 8800 9055 9548 9856 9920 10850 10912 11200 11935 12320 12400 12677 13640 13888 14488 15400 17050 17360 17600 18110 19096 19840 19921 21700 21824 22400 23870 24640 24800 25354 27280 27776 28976 30800 34100 34720 35200 36220 38192 39842 43400 43648 45275 47740 49280 49600 50708 54560 56141 57952 59675 61600 63385 68200 69440 72440 76384 79684 86800 90550 95480 99200 99605 101416 109120 112282 115904 119350 123200 126770 136400 138880 139447 144880 152768 159368 173600 181100 190960 199210 202832 218240 224564 231808 238700 246400 253540 272800 278894 280705 289760 305536 316925 318736 347200 362200 381920 392987 398420 405664 449128 477400 498025 507080 545600 557788 561410 579520 617551 633850 637472 694400 697235 724400 763840 785974 796840 811328 898256 954800 996050 1014160 1091200 1115576 1122820 1159040 1235102 1267700 1274944 1394470 1403525 1448800 1527680 1571948 1593680 1622656 1796512 1909600 1964935 1992100 2028320 2231152 2245640 2470204 2535400 2549888 2788940 2807050 2897600 3087755 3143896 3187360 3486175 3593024 3819200 3929870 3984200 4056640 4322857 4462304 4491280 4940408 5070800 5577880 5614100 5795200 6175510 6287792 6374720 6972350 7186048 7638400 7859740 7968400 8113280 8645714 8924608 8982560 9824675 9880816 10141600 11155760 11228200 12351020 12575584 12749440 13944700 15438775 15719480 15936800 17291428 17849216 17965120 19649350 19761632 20283200 21614285 22311520 22456400 24702040 25151168 27889400 30877550 31438960 31873600 34582856 35930240 39298700 39523264 40566400 43228570 44623040 44912800 49404080 50302336 55778800 61755100 62877920 63747200 69165712 78597400 79046528 86457140 89246080 89825600 98808160 108071425 111557600 123510200 125755840 138331424 157194800 172914280 179651200 197616320 216142850 223115200 247020400 251511680 276662848 314389600 345828560 395232640 432285700 446230400 494040800 553325696 628779200 691657120 864571400 988081600 1257558400 1383314240 1729142800 1976163200 2766628480 3458285600 6916571200 13833142400
- Sum of all divisors σ(n): 44002897920
- Sum of proper divisors (its aliquot sum) s(n): 30169755520
- 13833142400 is an abundant number, because the sum of its proper divisors (30169755520) is greater than itself. Its abundance is 16336613120
Bases of 13833142400
- Binary: 11001110001000010100000000100000002
- Hexadecimal: 0x338850080
- Base-36: 6CRW8ZK
Squares and roots of 13833142400
- 13833142400 squared (138331424002) is 191355828658677760000
- 13833142400 cubed (138331424003) is 2647052426905490449793024000000
-
The
square root of 13833142400 is 117614.3800731867 -
The
cube root of 13833142400 is 2400.5289574839
Scales and comparisons
How big is 13833142400?- 13,833,142,400 seconds is equal to 439 years, 44 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 13,833,142,400 would take you about eight hundred seventy-nine 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 13833142400 cubic inches would be around 200 feet tall.
Recreational maths with 13833142400
- 13833142400 backwards is 00424133831
- The number of decimal digits it has is: 11
- The sum of 13833142400's digits is 29
- More coming soon!
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