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13114320555520 = 29523421529049
BaseRepresentation
bin1011111011010110101001…
…1010110000111000000000
31201102201100112210110121101
42332311222122300320000
53204331112030234040
643520345150504144
72522323042316542
oct276655232607000
951381315713541
1013114320555520
1141a6830078148
121579787505054
137418a1320a42
14334a44d63692
1517b200c2409a
hexbed6a6b0e00

13114320555520 has 160 divisors (see below), whose sum is σ = 32888744539200. Its totient is φ = 5005725204480.

The previous prime is 13114320555509. The next prime is 13114320555547. The reversal of 13114320555520 is 2555502341131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 13114320555520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24523956 + ... + 25053004.

It is an arithmetic number, because the mean of its divisors is an integer number (205554653370).

Almost surely, 213114320555520 is an apocalyptic number.

13114320555520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114320555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444372269600).

13114320555520 is an abundant number, since it is smaller than the sum of its proper divisors (19774423983680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13114320555520 is an equidigital number, since it uses as much as digits as its factorization.

13114320555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529516 (or 529500 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

Adding to 13114320555520 its reverse (2555502341131), we get a palindrome (15669822896651).

The spelling of 13114320555520 in words is "thirteen trillion, one hundred fourteen billion, three hundred twenty million, five hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 421 460 512 640 736 842 920 1280 1472 1684 1840 2105 2560 2944 3368 3680 4210 5888 6736 7360 8420 9683 11776 13472 14720 16840 19366 26944 29440 33680 38732 48415 53888 58880 67360 77464 96830 107776 134720 154928 193660 215552 269440 309856 387320 529049 538880 619712 774640 1058098 1077760 1239424 1549280 2116196 2478848 2645245 3098560 4232392 4957696 5290490 6197120 8464784 10580980 12168127 12394240 16929568 21161960 24336254 24788480 33859136 42323920 48672508 60840635 67718272 84647840 97345016 121681270 135436544 169295680 194690032 222729629 243362540 270873088 338591360 389380064 445459258 486725080 677182720 778760128 890918516 973450160 1113648145 1354365440 1557520256 1781837032 1946900320 2227296290 3115040512 3563674064 3893800640 4454592580 5122781467 6230081024 7127348128 7787601280 8909185160 10245562934 14254696256 15575202560 17818370320 20491125868 25613907335 28509392512 31150405120 35636740640 40982251736 51227814670 57018785024 71273481280 81964503472 102455629340 114037570048 142546962560 163929006944 204911258680 285093925120 327858013888 409822517360 570187850240 655716027776 819645034720 1311432055552 1639290069440 2622864111104 3278580138880 6557160277760 13114320555520