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14095019408 = 2429671313461
BaseRepresentation
bin11010010000010000…
…01110110110010000
31100101022021011200212
431020020032312100
5212331311110113
610250345103252
71006200455021
oct151010166620
940338234625
1014095019408
115a832a8778
122894487b28
1314381ca692
14979d6cc48
155776520a8
hex34820ed90

14095019408 has 80 divisors (see below), whose sum is σ = 28899668160. Its totient is φ = 6649843200.

The previous prime is 14095019381. The next prime is 14095019441. The reversal of 14095019408 is 80491059041.

It is a super-2 number, since 2×140950194082 (a number of 21 digits) contains 22 as substring.

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, 4070798 + ... + 4074258.

It is an arithmetic number, because the mean of its divisors is an integer number (361245852).

Almost surely, 214095019408 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 14095019408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449834080).

14095019408 is an abundant number, since it is smaller than the sum of its proper divisors (14804648752).

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

14095019408 is a wasteful number, since it uses less digits than its factorization.

14095019408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 14095019408 in words is "fourteen billion, ninety-five million, nineteen thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 58 67 116 131 134 232 262 268 464 524 536 1048 1072 1943 2096 3461 3799 3886 6922 7598 7772 8777 13844 15196 15544 17554 27688 30392 31088 35108 55376 60784 70216 100369 140432 200738 231887 254533 401476 453391 463774 509066 802952 906782 927548 1018132 1605904 1813564 1855096 2036264 3627128 3710192 4072528 6724723 7254256 13148339 13449446 26296678 26898892 30377197 52593356 53797784 60754394 105186712 107595568 121508788 210373424 243017576 486035152 880938713 1761877426 3523754852 7047509704 14095019408