1540983142400
1,540,983,142,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 1540983142400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
1540983142400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 1540983142400:
211 × 52 × 13 × 172 × 8011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 8011)See below for interesting mathematical facts about the number 1540983142400 from the Numbermatics database.
Names of 1540983142400
- Cardinal: 1540983142400 can be written as One trillion, five hundred forty billion, nine hundred eighty-three million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.5409831424 × 1012
Factors of 1540983142400
Divisors of 1540983142400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 170 200 208 221 256 260 272 289 320 325 340 400 416 425 442 512 520 544 578 640 650 680 800 832 850 884 1024 1040 1088 1105 1156 1280 1300 1360 1445 1600 1664 1700 1768 2048 2080 2176 2210 2312 2560 2600 2720 2890 3200 3328 3400 3536 3757 4160 4352 4420 4624 5120 5200 5440 5525 5780 6400 6656 6800 7072 7225 7514 8011 8320 8704 8840 9248 10240 10400 10880 11050 11560 12800 13312 13600 14144 14450 15028 16022 16640 17408 17680 18496 18785 20800 21760 22100 23120 25600 26624 27200 28288 28900 30056 32044 33280 34816 35360 36992 37570 40055 41600 43520 44200 46240 51200 54400 56576 57800 60112 64088 66560 70720 73984 75140 80110 83200 87040 88400 92480 93925 104143 108800 113152 115600 120224 128176 133120 136187 141440 147968 150280 160220 166400 174080 176800 184960 187850 200275 208286 217600 226304 231200 240448 256352 272374 282880 295936 300560 320440 332800 353600 369920 375700 400550 416572 435200 452608 462400 480896 512704 520715 544748 565760 591872 601120 640880 665600 680935 707200 739840 751400 801100 833144 870400 924800 961792 1025408 1041430 1089496 1131520 1202240 1281760 1361870 1414400 1479680 1502800 1602200 1666288 1770431 1849600 1923584 2050816 2082860 2178992 2263040 2315179 2404480 2563520 2603575 2723740 2828800 2959360 3005600 3204400 3332576 3404675 3540862 3699200 3847168 4101632 4165720 4357984 4630358 4808960 5127040 5207150 5447480 5657600 6011200 6408800 6665152 6809350 7081724 7398400 7694336 8203264 8331440 8715968 8852155 9260716 9617920 10254080 10414300 10894960 11315200 11575895 12022400 12817600 13330304 13618700 14163448 14796800 16406528 16662880 17431936 17704310 18521432 19235840 20508160 20828600 21789920 23151790 24044800 25635200 26660608 27237400 28326896 30097327 33325760 34863872 35408620 37042864 38471680 41016320 41657200 43579840 44260775 46303580 48089600 51270400 53321216 54474800 56653792 57879475 60194654 66651520 69727744 70817240 74085728 82032640 83314400 87159680 88521550 92607160 96179200 102540800 106642432 108949600 113307584 115758950 120389308 133303040 139455488 141634480 148171456 150486635 166628800 174319360 177043100 185214320 192358400 205081600 213284864 217899200 226615168 231517900 240778616 266606080 278910976 283268960 296342912 300973270 333257600 348638720 354086200 370428640 410163200 435798400 453230336 463035800 481557232 533212160 566537920 592685824 601946540 666515200 697277440 708172400 740857280 752433175 871596800 906460672 926071600 963114464 1066424320 1133075840 1185371648 1203893080 1333030400 1394554880 1416344800 1481714560 1504866350 1743193600 1812921344 1852143200 1926228928 2266151680 2370743296 2407786160 2666060800 2832689600 2963429120 3009732700 3486387200 3625842688 3704286400 3852457856 4532303360 4741486592 4815572320 5332121600 5665379200 5926858240 6019465400 6972774400 7408572800 7704915712 9064606720 9631144640 11330758400 11853716480 12038930800 14817145600 15409831424 18129213440 19262289280 22661516800 23707432960 24077861600 29634291200 30819662848 38524578560 45323033600 48155723200 59268582400 61639325696 77049157120 90646067200 96311446400 118537164800 154098314240 192622892800 308196628480 385245785600 770491571200 1540983142400
- Sum of all divisors σ(n): 4371424195320
- Sum of proper divisors (its aliquot sum) s(n): 2830441052920
- 1540983142400 is an abundant number, because the sum of its proper divisors (2830441052920) is greater than itself. Its abundance is 1289457910520
Bases of 1540983142400
- Binary: 101100110110010011100000010111000000000002
- Hexadecimal: 0x166C9C0B800
- Base-36: JNX1KQGW
Squares and roots of 1540983142400
- 1540983142400 squared (15409831424002) is 2374629045160978677760000
- 1540983142400 cubed (15409831424003) is 3659263328046476436714001793024000000
-
The
square root of 1540983142400 is 1241363.4207596097 -
The
cube root of 1540983142400 is 11550.4604112987
Scales and comparisons
How big is 1540983142400?- 1,540,983,142,400 seconds is equal to 48,998 years, 25 weeks, 6 days, 53 minutes, 20 seconds.
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To count from 1 to 1,540,983,142,400 would take you about one hundred twenty-two thousand, four hundred ninety-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 1540983142400 cubic inches would be around 962.5 feet tall.
Recreational maths with 1540983142400
- 1540983142400 backwards is 0042413890451
- The number of decimal digits it has is: 13
- The sum of 1540983142400's digits is 41
- More coming soon!
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