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13415445544104 = 23322310974322151
BaseRepresentation
bin1100001100111000011011…
…0111011011110010101000
31202111111121110120211120100
43003032012313123302220
53224244313024402404
644310545352225400
72553143150432262
oct303160667336250
952444543524510
1013415445544104
1143025052a6a7a
12160800569b260
137640c023c266
1434544d66ab32
15183e77052d39
hexc3386ddbca8

13415445544104 has 96 divisors (see below), whose sum is σ = 38261043849600. Its totient is φ = 4238146281600.

The previous prime is 13415445544057. The next prime is 13415445544117. The reversal of 13415445544104 is 40144554451431.

13415445544104 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 54 + 4 + 554 + 41 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13415445544104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36980572 + ... + 37341579.

It is an arithmetic number, because the mean of its divisors is an integer number (398552540100).

Almost surely, 213415445544104 is an apocalyptic number.

It is an amenable number.

13415445544104 is an abundant number, since it is smaller than the sum of its proper divisors (24845598305496).

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

13415445544104 is a wasteful number, since it uses less digits than its factorization.

13415445544104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74322295 (or 74322288 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

Adding to 13415445544104 its reverse (40144554451431), we get a palindrome (53559999995535).

The spelling of 13415445544104 in words is "thirteen trillion, four hundred fifteen billion, four hundred forty-five million, five hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 109 138 184 207 218 276 327 414 436 552 654 828 872 981 1308 1656 1962 2507 2616 3924 5014 7521 7848 10028 15042 20056 22563 30084 45126 60168 90252 180504 74322151 148644302 222966453 297288604 445932906 594577208 668899359 891865812 1337798718 1709409473 1783731624 2675597436 3418818946 5128228419 5351194872 6837637892 8101114459 10256456838 13675275784 15384685257 16202228918 20512913676 24303343377 30769370514 32404457836 41025827352 48606686754 61538741028 64808915672 72910030131 97213373508 123077482056 145820060262 186325632557 194426747016 291640120524 372651265114 558976897671 583280241048 745302530228 1117953795342 1490605060456 1676930693013 2235907590684 3353861386026 4471815181368 6707722772052 13415445544104