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14010131344 = 2411435093637
BaseRepresentation
bin11010000110001000…
…11010001110010000
31100011101112102011111
431003010122032100
5212143043200334
610234113423104
71004120102656
oct150304321620
940141472144
1014010131344
115a3a399050
12286bb6aa94
131423748461
1496c992dd6
1556ee85064
hex34311a390

14010131344 has 80 divisors (see below), whose sum is σ = 30368859840. Its totient is φ = 6206215680.

The previous prime is 14010131321. The next prime is 14010131357. The reversal of 14010131344 is 44313101041.

It is a happy number.

It is a super-2 number, since 2×140101313442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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, 3850294 + ... + 3853930.

It is an arithmetic number, because the mean of its divisors is an integer number (379610748).

Almost surely, 214010131344 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 14010131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15184429920).

14010131344 is an abundant number, since it is smaller than the sum of its proper divisors (16358728496).

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

14010131344 is a wasteful number, since it uses less digits than its factorization.

14010131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 14010131344 its reverse (44313101041), we get a palindrome (58323232385).

The spelling of 14010131344 in words is "fourteen billion, ten million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 509 688 946 1018 1892 2036 3637 3784 4072 5599 7274 7568 8144 11198 14548 21887 22396 29096 40007 43774 44792 58192 80014 87548 89584 156391 160028 175096 240757 312782 320056 350192 481514 625564 640112 963028 1251128 1720301 1851233 1926056 2502256 3440602 3702466 3852112 6881204 7404932 13762408 14809864 20363563 27524816 29619728 40727126 79603019 81454252 159206038 162908504 318412076 325817008 636824152 875633209 1273648304 1751266418 3502532836 7005065672 14010131344