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13414074464 = 257521114941
BaseRepresentation
bin11000111111000101…
…01000100001100000
31021121211221120211202
430133202220201200
5204433000340324
610055022100332
7653261515550
oct143742504140
937554846752
1013414074464
11576399375a
12272441a6a8
13135a10058b
14913755160
155379958ae
hex31f8a8860

13414074464 has 48 divisors (see below), whose sum is σ = 30239860896. Its totient is φ = 5737804800.

The previous prime is 13414074431. The next prime is 13414074491. The reversal of 13414074464 is 46447041431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59234 + ... + 174174.

It is an arithmetic number, because the mean of its divisors is an integer number (629997102).

Almost surely, 213414074464 is an apocalyptic number.

13414074464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13414074464 is an abundant number, since it is smaller than the sum of its proper divisors (16825786432).

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

13414074464 is a wasteful number, since it uses less digits than its factorization.

13414074464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115479 (or 115471 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 13414074464 in words is "thirteen billion, four hundred fourteen million, seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 521 1042 2084 3647 4168 7294 8336 14588 16672 29176 58352 114941 116704 229882 459764 804587 919528 1609174 1839056 3218348 3678112 6436696 12873392 25746784 59884261 119768522 239537044 419189827 479074088 838379654 958148176 1676759308 1916296352 3353518616 6707037232 13414074464