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14000611144 = 23134313812267
BaseRepresentation
bin11010000101000000…
…00101111101001000
31100010201121201220111
431002200011331020
5212133124024034
610233133404104
71003643142202
oct150240057510
940121551814
1014000611144
115a34a86413
122868939634
1314217940c0
1496b5d5772
1556e204364
hex342805f48

14000611144 has 64 divisors (see below), whose sum is σ = 28961634240. Its totient is φ = 6304193280.

The previous prime is 14000611133. The next prime is 14000611147. The reversal of 14000611144 is 44111600041.

It is a super-2 number, since 2×140006111442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14000611147) 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 15 ways as a sum of consecutive naturals, for example, 6174699 + ... + 6176965.

It is an arithmetic number, because the mean of its divisors is an integer number (452525535).

Almost surely, 214000611144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14000611144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480817120).

14000611144 is an abundant number, since it is smaller than the sum of its proper divisors (14961023096).

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

14000611144 is a wasteful number, since it uses less digits than its factorization.

14000611144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 14000611144 in words is "fourteen billion, six hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 559 1118 1381 2236 2267 2762 4472 4534 5524 9068 11048 17953 18136 29471 35906 58942 59383 71812 97481 117884 118766 143624 194962 235768 237532 389924 475064 771979 779848 1267253 1543958 2534506 3087916 3130727 5069012 6175832 6261454 10138024 12522908 25045816 40699451 81398902 134621261 162797804 269242522 325595608 538485044 1076970088 1750076393 3500152786 7000305572 14000611144