135842732321400
135,842,732,321,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 135842732321400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
135842732321400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 135842732321400:
23 × 311 × 52 × 13 × 193 × 43
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 19 × 19 × 19 × 43)See below for interesting mathematical facts about the number 135842732321400 from the Numbermatics database.
Names of 135842732321400
- Cardinal: 135842732321400 can be written as One hundred thirty-five trillion, eight hundred forty-two billion, seven hundred thirty-two million, three hundred twenty-one thousand, four hundred.
Scientific notation
- Scientific notation: 1.358427323214 × 1014
Factors of 135842732321400
Divisors of 135842732321400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 25 26 27 30 36 38 39 40 43 45 50 52 54 57 60 65 72 75 76 78 81 86 90 95 100 104 108 114 117 120 129 130 135 150 152 156 162 171 172 180 190 195 200 215 216 225 228 234 243 247 258 260 270 285 300 312 324 325 342 344 351 360 361 380 387 390 405 430 450 456 468 475 486 494 513 516 520 540 559 570 585 600 645 648 650 675 684 702 722 729 741 760 774 780 810 817 855 860 900 936 950 972 975 988 1026 1032 1053 1075 1080 1083 1118 1140 1161 1170 1215 1235 1290 1300 1350 1368 1404 1425 1444 1458 1482 1539 1548 1560 1620 1634 1677 1710 1720 1755 1800 1805 1900 1935 1944 1950 1976 2025 2052 2106 2150 2166 2187 2223 2236 2280 2322 2340 2430 2451 2470 2565 2580 2600 2700 2795 2808 2850 2888 2916 2925 2964 3078 3096 3159 3225 3240 3249 3268 3354 3420 3483 3510 3610 3645 3705 3800 3870 3900 4050 4085 4104 4212 4275 4300 4332 4374 4446 4472 4617 4644 4680 4693 4860 4902 4940 5031 5130 5160 5265 5400 5415 5590 5700 5805 5832 5850 5928 6075 6156 6175 6318 6450 6498 6536 6561 6669 6708 6840 6859 6966 7020 7220 7290 7353 7410 7695 7740 7800 8100 8170 8385 8424 8550 8600 8664 8748 8775 8892 9025 9234 9288 9386 9477 9675 9720 9747 9804 9880 10062 10260 10449 10530 10621 10830 10935 11115 11180 11400 11610 11700 12150 12255 12312 12350 12636 12825 12900 12996 13122 13338 13416 13718 13851 13932 13975 14040 14079 14440 14580 14706 14820 15093 15390 15480 15523 15795 16200 16245 16340 16770 17100 17415 17496 17550 17784 18050 18225 18468 18525 18772 18954 19350 19494 19608 19683 20007 20124 20425 20520 20577 20898 21060 21242 21660 21870 22059 22230 22360 23085 23220 23400 23465 24300 24510 24700 25155 25272 25650 25800 25992 26244 26325 26676 27075 27436 27702 27864 27950 28158 28431 29025 29160 29241 29412 29640 30186 30780 31046 31347 31590 31863 32490 32680 32805 33345 33540 34200 34295 34830 35100 36100 36450 36765 36936 37050 37544 37908 38475 38700 38988 39366 40014 40248 40850 41154 41553 41796 41925 42120 42237 42484 43320 43740 44118 44460 45279 46170 46440 46569 46930 47385 48600 48735 49020 49400 50310 51300 52245 52488 52650 53105 53352 54150 54675 54872 55404 55575 55900 56316 56862 58050 58482 58824 59049 60021 60372 61275 61560 61731 62092 62694 63180 63726 64980 65610 66177 66690 67080 68590 69255 69660 70200 70395 72200 72900 73530 74100 75465 75816 76950 77400 77615 77976 78732 78975 80028 81225 81700 82308 83106 83592 83850 84474 84968 85293 87075 87480 87723 88236 88920 89167 90558 92340 93138 93860 94041 94770 95589 97470 98040 98415 100035 100620 102600 102885 104490 105300 106210 108300 109350 110295 110808 111150 111800 112632 113724 115425 116100 116964 117325 118098 120042 120744 122550 123462 124184 124659 125388 125775 126360 126711 127452 129960 131220 132354 133380 135837 137180 138510 139320 139707 140790 142155 145800 146205 147060 148200 150930 153900 155230 156735 157464 157950 159315 160056 162450 163400 164025 164616 166212 166725 167700 168948 170586 171475 174150 175446 176472 177147 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111804717960 116104899420 117004937400 119160291510 121505127300 125431885800 125780307705 126365332392 129005443800 131630554575 132400323900 137492644050 139325879304 139755897450 142992349812 145131124275 150936369246 157956665490 158880388680 166270174200 167707076940 174157349130 175507406100 178740437265 183323525400 186341196600 188147828700 193508165700 198600485850 201248492328 208988818956 209633846175 210608887320 226404553869 232209798840 238320583020 243010254600 251560615410 261236023695 263261109150 264800647800 274985288100 279511794900 285984699624 290262248550 297900728775 301872738492 315913330980 335414153880 348314698260 351014812200 357480874530 376295657400 377340923115 387016331400 394891663725 397200971700 417977637912 419267692350 435393372825 452809107738 476641166040 503121230820 522472047390 526522218300 549970576200 559023589800 580524497100 595801457550 603745476984 628901538525 631826661960 679213661607 696629396520 714961749060 754681846230 789783327450 794401943400 838535384700 870786745650 893702186325 905618215476 1006242461640 1044944094780 1053044436600 1132022769345 1161048994200 1191602915100 1257803077050 1306180118475 1358427323214 1429923498120 1509363692460 1579566654900 1677070769400 1741573491300 1787404372650 1811236430952 1886704615575 2089888189560 2264045538690 2383205830200 2515606154100 2612360236950 2716854646428 3018727384920 3159133309800 3396068308035 3483146982600 3574808745300 3773409231150 4528091077380 5031212308200 5224720473900 5433709292856 5660113846725 6792136616070 7149617490600 7546818462300 9056182154760 10449440947800 11320227693450 13584273232140 15093636924600 16980341540175 22640455386900 27168546464280 33960683080350 45280910773800 67921366160700 135842732321400
- Sum of all divisors σ(n): 551056938432000
- Sum of proper divisors (its aliquot sum) s(n): 415214206110600
- 135842732321400 is an abundant number, because the sum of its proper divisors (415214206110600) is greater than itself. Its abundance is 279371473789200
Bases of 135842732321400
- Binary: 111101110001100010110011100111000101010011110002
- Hexadecimal: 0x7B8C59CE2A78
- Base-36: 1C5HAFGVI0
Squares and roots of 135842732321400
- 135842732321400 squared (1358427323214002) is 18453247924543532232897960000
- 135842732321400 cubed (1358427323214003) is 2506739618274197154395210423280124344000000
-
The
square root of 135842732321400 is 11655159.0431619593 -
The
cube root of 135842732321400 is 51405.8016435999
Scales and comparisons
How big is 135842732321400?- 135,842,732,321,400 seconds is equal to 4,319,378 years, 36 weeks, 2 days, 7 hours, 30 minutes.
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To count from 1 to 135,842,732,321,400 would take you about ten million, seven hundred ninety-eight thousand, four hundred forty-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 135842732321400 cubic inches would be around 4283.8 feet tall.
Recreational maths with 135842732321400
- 135842732321400 backwards is 004123237248531
- 135842732321400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135842732321400's digits is 45
- More coming soon!
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The information we have on file for 135842732321400 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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