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13033114304 = 267109266897
BaseRepresentation
bin11000010001101010…
…11000101011000000
31020122022002210202012
430020311120223000
5203142434124204
65553132512052
7640654433540
oct141065305300
936568083665
1013033114304
115588942751
12263891b628
1312c91c7372
148b8d09320
155142e376e
hex308d58ac0

13033114304 has 56 divisors (see below), whose sum is σ = 29828520480. Its totient is φ = 5534355456.

The previous prime is 13033114273. The next prime is 13033114309. The reversal of 13033114304 is 40341133031.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×130331143042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13033114304.

It is not an unprimeable number, because it can be changed into a prime (13033114309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84617 + ... + 182280.

Almost surely, 213033114304 is an apocalyptic number.

13033114304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13033114304 is an abundant number, since it is smaller than the sum of its proper divisors (16795406176).

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

13033114304 is a wasteful number, since it uses less digits than its factorization.

13033114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267025 (or 267015 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13033114304 its reverse (40341133031), we get a palindrome (53374247335).

The spelling of 13033114304 in words is "thirteen billion, thirty-three million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 48832 266897 533794 1067588 1868279 2135176 3736558 4270352 7473116 8540704 14946232 17081408 29091773 29892464 58183546 59784928 116367092 119569856 203642411 232734184 407284822 465468368 814569644 930936736 1629139288 1861873472 3258278576 6516557152 13033114304