13812443046142400
13,812,443,046,142,400 is an even composite number composed of six prime numbers multiplied together.
13812443046142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13812443046142400:
26 × 52 × 11 × 47 × 9929 × 1681723
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 47 × 9929 × 1681723)See below for interesting mathematical facts about the number 13812443046142400 from the Numbermatics database.
Names of 13812443046142400
- Cardinal: 13812443046142400 can be written as Thirteen quadrillion, eight hundred twelve trillion, four hundred forty-three billion, forty-six million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.38124430461424 × 1016
Factors of 13812443046142400
Divisors of 13812443046142400
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 47 50 55 64 80 88 94 100 110 160 176 188 200 220 235 275 320 352 376 400 440 470 517 550 704 752 800 880 940 1034 1100 1175 1504 1600 1760 1880 2068 2200 2350 2585 3008 3520 3760 4136 4400 4700 5170 7520 8272 8800 9400 9929 10340 12925 15040 16544 17600 18800 19858 20680 25850 33088 37600 39716 41360 49645 51700 75200 79432 82720 99290 103400 109219 158864 165440 198580 206800 218438 248225 317728 397160 413600 436876 466663 496450 546095 635456 794320 827200 873752 933326 992900 1092190 1588640 1681723 1747504 1866652 1985800 2184380 2333315 2730475 3177280 3363446 3495008 3733304 3971600 4368760 4666630 5133293 5460950 6726892 6990016 7466608 7943200 8408615 8737520 9333260 10266586 10921900 11666575 13453784 14933216 15886400 16817230 17475040 18498953 18666520 20533172 21843800 23333150 25666465 26907568 29866432 33634460 34950080 36997906 37333040 41066344 42043075 43687600 46666300 51332930 53815136 67268920 73995812 74666080 79040981 82132688 84086150 87375200 92494765 93332600 102665860 107630272 128332325 134537840 147991624 149332160 158081962 164265376 168172300 174750400 184989530 186665200 205331720 256664650 269075680 295983248 316163924 328530752 336344600 369979060 373330400 395204905 410663440 462473825 513329300 538151360 591966496 632327848 672689200 739958120 746660800 790409810 821326880 869450791 924947650 1026658600 1183932992 1264655696 1345378400 1479916240 1580819620 1642653760 1738901582 1849895300 1976024525 2053317200 2529311392 2690756800 2959832480 3161639240 3477803164 3699790600 3952049050 4106634400 4347253955 5058622784 5919664960 6323278480 6955606328 7399581200 7904098100 8213268800 8694507910 12646556960 13911212656 14799162400 15808196200 16697827667 17389015820 21736269775 25293113920 27822425312 29598324800 31616392400 33395655334 34778031640 43472539550 55644850624 63232784800 66791310668 69556063280 83489138335 86945079100 126465569600 133582621336 139112126560 166978276670 173890158200 183676104337 267165242672 278224253120 333956553340 347780316400 367352208674 417445691675 534330485344 667913106680 695560632800 734704417348 784797900349 834891383350 918380521685 1068660970688 1335826213360 1391121265600 1469408834696 1569595800698 1669782766700 1836761043370 2671652426720 2938817669392 3139191601396 3339565533400 3673522086740 3923989501745 4591902608425 5343304853440 5877635338784 6278383202792 6679131066800 7347044173480 7847979003490 8632776903839 9183805216850 11755270677568 12556766405584 13358262133600 14694088346960 15695958006980 17265553807678 18367610433700 19619947508725 25113532811168 26716524267200 29388176693920 31391916013960 34531107615356 36735220867400 39239895017450 43163884519195 50227065622336 58776353387840 62783832027920 69062215230712 73470441734800 78479790034900 86327769038390 125567664055840 138124430461424 146940883469600 156959580069800 172655538076780 215819422595975 251135328111680 276248860922848 293881766939200 313919160139600 345311076153560 431638845191950 552497721845696 627838320279200 690622152307120 863277690383900 1255676640558400 1381244304614240 1726555380767800 2762488609228480 3453110761535600 6906221523071200 13812443046142400
- Sum of all divisors σ(n): 37869700356195840
- Sum of proper divisors (its aliquot sum) s(n): 24057257310053440
- 13812443046142400 is an abundant number, because the sum of its proper divisors (24057257310053440) is greater than itself. Its abundance is 10244814263911040
Bases of 13812443046142400
- Binary: 1100010001001001011000000000010011111011100001110000002
- Hexadecimal: 0x311258013EE1C0
- Base-36: 3S03OQIYMRK
Squares and roots of 13812443046142400
- 13812443046142400 squared (138124430461424002) is 190783582902927541895521077760000
- 13812443046142400 cubed (138124430461424003) is 2635187372985673601302040651018459458433024000000
-
The
square root of 13812443046142400 is 117526350.4331790267 -
The
cube root of 13812443046142400 is 239933.1008338133
Scales and comparisons
How big is 13812443046142400?- 13,812,443,046,142,400 seconds is equal to 439,192,964 years, 9 weeks, 23 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,812,443,046,142,400 would take you about one billion, three hundred seventeen million, five hundred seventy-eight thousand, eight hundred ninety-two 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 13812443046142400 cubic inches would be around 19994.4 feet tall.
Recreational maths with 13812443046142400
- 13812443046142400 backwards is 00424164034421831
- 13812443046142400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13812443046142400's digits is 47
- More coming soon!
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