135628334150400
135,628,334,150,400 is an even composite number composed of six prime numbers multiplied together.
135628334150400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 135628334150400:
28 × 37 × 52 × 7 × 132 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 8191)See below for interesting mathematical facts about the number 135628334150400 from the Numbermatics database.
Names of 135628334150400
- Cardinal: 135628334150400 can be written as One hundred thirty-five trillion, six hundred twenty-eight billion, three hundred thirty-four million, one hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.356283341504 × 1014
Factors of 135628334150400
Divisors of 135628334150400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 140 144 150 156 160 162 168 169 175 180 182 189 192 195 200 208 210 216 224 225 234 240 243 252 256 260 270 273 280 288 300 312 315 320 324 325 336 338 350 351 360 364 378 384 390 400 405 416 420 432 448 450 455 468 480 486 504 507 520 525 540 546 560 567 576 585 600 624 630 640 648 650 672 675 676 700 702 720 728 729 756 768 780 800 810 819 832 840 845 864 896 900 910 936 945 960 972 975 1008 1014 1040 1050 1053 1080 1092 1120 1134 1152 1170 1183 1200 1215 1248 1260 1280 1296 1300 1344 1350 1352 1365 1400 1404 1440 1456 1458 1512 1521 1560 1575 1600 1620 1638 1664 1680 1690 1701 1728 1755 1792 1800 1820 1872 1890 1920 1944 1950 2016 2025 2028 2080 2100 2106 2160 2184 2187 2240 2268 2275 2304 2340 2366 2400 2430 2457 2496 2520 2535 2592 2600 2688 2700 2704 2730 2800 2808 2835 2880 2912 2916 2925 3024 3042 3120 3150 3159 3200 3240 3276 3328 3360 3380 3402 3456 3510 3549 3600 3640 3645 3744 3780 3840 3888 3900 4032 4050 4056 4095 4160 4200 4212 4225 4320 4368 4374 4480 4536 4550 4563 4680 4725 4732 4800 4860 4914 4992 5040 5070 5103 5184 5200 5265 5376 5400 5408 5460 5600 5616 5670 5760 5824 5832 5850 5915 6048 6075 6084 6240 6300 6318 6400 6480 6552 6720 6760 6804 6825 6912 7020 7098 7200 7280 7290 7371 7488 7560 7605 7776 7800 8064 8100 8112 8190 8191 8320 8400 8424 8450 8505 8640 8736 8748 8775 8960 9072 9100 9126 9360 9450 9464 9477 9600 9720 9828 9984 10080 10140 10206 10368 10400 10530 10647 10800 10816 10920 10935 11200 11232 11340 11520 11648 11664 11700 11830 12096 12150 12168 12285 12480 12600 12636 12675 12960 13104 13440 13520 13608 13650 13689 14040 14175 14196 14400 14560 14580 14742 14976 15120 15210 15309 15552 15600 15795 16128 16200 16224 16380 16382 16640 16800 16848 16900 17010 17280 17472 17496 17550 17745 18144 18200 18225 18252 18720 18900 18928 18954 19200 19440 19656 20160 20280 20412 20475 20736 20800 21060 21294 21600 21632 21840 21870 22113 22400 22464 22680 22815 23296 23328 23400 23660 24192 24300 24336 24570 24573 24960 25200 25272 25350 25515 25920 26208 26325 26880 27040 27216 27300 27378 28080 28350 28392 28431 28800 29120 29160 29484 29575 29952 30240 30420 30618 31104 31200 31590 31941 32400 32448 32760 32764 33600 33696 33800 34020 34560 34944 34992 35100 35490 36288 36400 36450 36504 36855 37440 37800 37856 37908 38025 38880 39312 40320 40560 40824 40950 40955 41067 41600 42120 42525 42588 43200 43264 43680 43740 44226 44800 44928 45360 45630 46656 46800 47320 47385 48384 48600 48672 49140 49146 49920 50400 50544 50700 51030 51840 52416 52650 53235 54080 54432 54600 54675 54756 56160 56700 56784 56862 57337 57600 58240 58320 58968 59150 60480 60840 61236 61425 62208 62400 63180 63882 64800 64896 65520 65528 66339 67200 67392 67600 68040 68445 69888 69984 70200 70980 72576 72800 72900 73008 73710 73719 74880 75600 75712 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121096726920 124201771200 125581790880 128801836800 129169842048 130411859760 133755753600 134551918800 139105983744 139535323200 141279514740 143522046720 144902066400 149042125440 150698149056 151370908650 156977238600 160506904320 161462302560 163014824700 165602361600 167442387840 169535417688 173882479680 176599393425 179402558400 186047097600 186302656800 188372686320 193202755200 193754763072 200633630400 200930865408 201827878200 208658975616 209302984800 211919272110 215283070080 217353099600 226047223584 231843306240 235465857900 239203411200 242193453840 248403542400 251163581760 258339684096 260823719520 267511507200 269103837600 279070646400 282559029480 289804132800 298084250880 301396298112 302741817300 313954477200 322924605120 326029649400 334884775680 339070835376 347764959360 353198786850 358805116800 372605313600 376745372640 386405510400 387509526144 401267260800 403655756400 417317951232 418605969600 423838544220 430566140160 434706199200 452094447168 470931715800 484386907680 496807084800 502327163520 521647439040 529798180275 538207675200 558141292800 565118058960 579608265600 602792596224 605483634600 627908954400 645849210240 652059298800 678141670752 695529918720 706397573700 717610233600 745210627200 753490745280 775019052288 802534521600 807311512800 837211939200 847677088440 869412398400 904188894336 941863431600 968773815360 1004654327040 1043294878080 1059596360550 1076415350400 1130236117920 1159216531200 1210967269200 1255817908800 1291698420480 1304118597600 1356283341504 1412795147400 1490421254400 1506981490560 1614623025600 1674423878400 1695354176880 1738824796800 1808377788672 1883726863200 1937547630720 2086589756160 2119192721100 2152830700800 2260472235840 2421934538400 2511635817600 2608237195200 2712566683008 2825590294800 3013962981120 3229246051200 3390708353760 3477649593600 3767453726400 3875095261440 4238385442200 4520944471680 4843869076800 5023271635200 5216474390400 5425133366016 5651180589600 6458492102400 6781416707520 7534907452800 8476770884400 9041888943360 9687738153600 10432948780800 11302361179200 13562833415040 15069814905600 16953541768800 19375476307200 22604722358400 27125666830080 33907083537600 45209444716800 67814167075200 135628334150400
- Sum of all divisors σ(n): 623142622986240
- Sum of proper divisors (its aliquot sum) s(n): 487514288835840
- 135628334150400 is an abundant number, because the sum of its proper divisors (487514288835840) is greater than itself. Its abundance is 351885954685440
Bases of 135628334150400
- Binary: 111101101011010011011101010110110110011000000002
- Hexadecimal: 0x7B5A6EADB300
- Base-36: 1C2QSOC000
Squares and roots of 135628334150400
- 135628334150400 squared (1356283341504002) is 18395045024412558889820160000
- 135628334150400 cubed (1356283341504003) is 2494889313282679462574846717442392064000000
-
The
square root of 135628334150400 is 11645957.8459824419 -
The
cube root of 135628334150400 is 51378.7431154575
Scales and comparisons
How big is 135628334150400?- 135,628,334,150,400 seconds is equal to 4,312,561 years, 26 weeks.
-
To count from 1 to 135,628,334,150,400 would take you about ten million, seven hundred eighty-one thousand, four hundred three 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 135628334150400 cubic inches would be around 4281.6 feet tall.
Recreational maths with 135628334150400
- 135628334150400 backwards is 004051433826531
- 135628334150400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135628334150400's digits is 45
- More coming soon!
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"Number 135628334150400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 135628334150400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/135628334150400/
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The information we have on file for 135628334150400 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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