13385513536340400
13,385,513,536,340,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13385513536340400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
13385513536340400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13385513536340400:
24 × 33 × 52 × 72 × 13 × 29 × 81912
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 29 × 8191 × 8191)See below for interesting mathematical facts about the number 13385513536340400 from the Numbermatics database.
Names of 13385513536340400
- Cardinal: 13385513536340400 can be written as Thirteen quadrillion, three hundred eighty-five trillion, five hundred thirteen billion, five hundred thirty-six million, three hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 1.33855135363404 × 1016
Factors of 13385513536340400
Divisors of 13385513536340400
- Number of divisors d(n): 2160
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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 29 30 35 36 39 40 42 45 48 49 50 52 54 56 58 60 63 65 70 72 75 78 80 84 87 90 91 98 100 104 105 108 112 116 117 120 126 130 135 140 144 145 147 150 156 168 174 175 180 182 189 195 196 200 203 208 210 216 225 232 234 240 245 252 260 261 270 273 280 290 294 300 312 315 325 336 348 350 351 360 364 377 378 390 392 400 406 420 432 435 441 450 455 464 468 490 504 520 522 525 540 546 560 580 585 588 600 609 624 630 637 650 675 696 700 702 720 725 728 735 754 756 780 783 784 812 819 840 870 882 900 910 936 945 975 980 1008 1015 1040 1044 1050 1080 1092 1131 1160 1170 1176 1200 1218 1225 1260 1274 1300 1305 1323 1350 1365 1392 1400 1404 1421 1450 1456 1470 1508 1512 1560 1566 1575 1624 1638 1680 1740 1755 1764 1800 1820 1827 1872 1885 1890 1911 1950 1960 2030 2088 2100 2160 2175 2184 2205 2262 2275 2320 2340 2352 2436 2450 2457 2520 2548 2600 2610 2639 2646 2700 2730 2800 2808 2842 2900 2925 2940 3016 3024 3045 3120 3132 3150 3185 3248 3276 3393 3480 3510 3528 3600 3640 3654 3675 3770 3780 3822 3900 3915 3920 4060 4095 4176 4200 4263 4350 4368 4410 4524 4550 4680 4725 4872 4900 4914 5040 5075 5096 5200 5220 5278 5292 5400 5460 5481 5616 5655 5684 5733 5800 5850 5880 6032 6090 6264 6300 6370 6525 6552 6615 6786 6825 6960 7020 7056 7105 7280 7308 7350 7540 7560 7644 7800 7830 7917 8120 8190 8191 8400 8526 8700 8775 8820 9048 9100 9135 9360 9425 9450 9555 9744 9800 9828 10150 10179 10192 10440 10556 10584 10800 10920 10962 11025 11310 11368 11466 11600 11700 11760 12180 12285 12528 12600 12740 12789 13050 13104 13195 13230 13572 13650 14040 14210 14616 14700 15080 15120 15225 15288 15600 15660 15834 15925 16240 16380 16382 16965 17052 17199 17400 17550 17640 18096 18200 18270 18473 18850 18900 19110 19575 19600 19656 20300 20358 20475 20880 21112 21168 21315 21840 21924 22050 22620 22736 22932 23400 23751 24360 24570 24573 25200 25480 25578 26100 26390 26460 27144 27300 27405 28080 28275 28420 28665 29232 29400 30160 30450 30576 31320 31668 31850 32760 32764 33075 33930 34104 34398 34800 35100 35280 35525 36400 36540 36946 37700 37800 38220 38367 39150 39312 39585 40600 40716 40950 40955 42224 42630 43848 44100 45240 45675 45864 46800 47502 47775 48720 49140 49146 50895 50960 51156 52200 52780 52920 54288 54600 54810 55419 56550 56840 57330 57337 58800 60900 61425 62640 63336 63700 63945 65520 65528 65975 66150 67860 68208 68796 70200 71050 71253 73080 73719 73892 75400 75600 76440 76734 78300 79170 81200 81432 81900 81910 84825 85260 85995 87696 88200 90480 91350 91728 92365 95004 95550 98280 98292 101790 102312 104400 105560 105840 106483 106575 109200 109620 110838 113100 113680 114660 114674 118755 121800 122850 122865 126672 127400 127890 131056 131950 132300 135720 137025 137592 140400 142100 142506 143325 146160 147438 147784 150800 152880 153468 156600 158340 162864 163800 163820 166257 169650 170520 171990 172011 176400 182700 184730 190008 191100 191835 196560 196584 197925 203580 204624 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178473513817872 185909910226950 191221621947720 205930977482160 212468468830800 223091892272340 230784716143800 239027027434650 247879880302600 257413721852700 267710270726808 273173745639600 278864865340425 297455856363120 318702703246200 334637838408510 343218295803600 371819820453900 382443243895440 446183784544680 461569432287600 478054054869300 495759760605200 514827443705400 535420541453616 557729730680850 637405406492400 669275676817020 743639640907800 836594596021275 892367569089360 956108109738600 1029654887410800 1115459461361700 1338551353634040 1487279281815600 1673189192042550 1912216219477200 2230918922723400 2677102707268080 3346378384085100 4461837845446800 6692756768170200 13385513536340400
- Sum of all divisors σ(n): 61749635890672800
- Sum of proper divisors (its aliquot sum) s(n): 48364122354332400
- 13385513536340400 is an abundant number, because the sum of its proper divisors (48364122354332400) is greater than itself. Its abundance is 34978608817992000
Bases of 13385513536340400
- Binary: 1011111000111000001101101110110111100001000001101100002
- Hexadecimal: 0x2F8E0DBB7841B0
- Base-36: 3NSRO0ZTHO0
Squares and roots of 13385513536340400
- 13385513536340400 squared (133855135363404002) is 179171972631552080911424672160000
- 13385513536340400 cubed (133855135363404003) is 2398308864992452059212622494584291316163264000000
-
The
square root of 13385513536340400 is 115695780.1146627819 -
The
cube root of 13385513536340400 is 237435.1500065979
Scales and comparisons
How big is 13385513536340400?- 13,385,513,536,340,400 seconds is equal to 425,617,926 years, 17 weeks, 6 days, 3 hours.
-
To count from 1 to 13,385,513,536,340,400 would take you about one billion, two hundred seventy-six million, eight hundred fifty-three thousand, seven 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 13385513536340400 cubic inches would be around 19786.3 feet tall.
Recreational maths with 13385513536340400
- 13385513536340400 backwards is 00404363531558331
- 13385513536340400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13385513536340400's digits is 54
- More coming soon!
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The information we have on file for 13385513536340400 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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