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15114014104 = 23723101223521
BaseRepresentation
bin11100001001101110…
…11000110110011000
31110000022200110122011
432010313120312120
5221423141422404
610535425435304
71043353000030
oct160467306630
943008613564
1015114014104
116456515552
122b1979bb34
13156b358517
14a354228c0
155d6d36604
hex384dd8d98

15114014104 has 128 divisors (see below), whose sum is σ = 34348769280. Its totient is φ = 6095232000.

The previous prime is 15114014099. The next prime is 15114014147. The reversal of 15114014104 is 40141041151.

15114014104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29009364 + ... + 29009884.

It is an arithmetic number, because the mean of its divisors is an integer number (268349760).

Almost surely, 215114014104 is an apocalyptic number.

15114014104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15114014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174384640).

15114014104 is an abundant number, since it is smaller than the sum of its proper divisors (19234755176).

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

15114014104 is a wasteful number, since it uses less digits than its factorization.

15114014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 15114014104 its reverse (40141041151), we get a palindrome (55255055255).

The spelling of 15114014104 in words is "fifteen billion, one hundred fourteen million, fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 101 161 184 202 223 322 404 446 521 644 707 808 892 1042 1288 1414 1561 1784 2084 2323 2828 3122 3647 4168 4646 5129 5656 6244 7294 9292 10258 11983 12488 14588 16261 18584 20516 22523 23966 29176 32522 35903 41032 45046 47932 52621 65044 71806 83881 90092 95864 105242 116183 130088 143612 157661 167762 180184 210484 232366 287224 315322 335524 368347 420968 464732 518029 630644 671048 736694 813281 929464 1036058 1210283 1261288 1473388 1626562 2072116 2420566 2672209 2946776 3253124 3626203 4144232 4841132 5344418 6506248 7252406 8471981 9682264 10688836 11734483 14504812 16943962 18705463 21377672 23468966 29009624 33887924 37410926 46937932 67775848 74821852 82141381 93875864 149643704 164282762 269893109 328565524 539786218 657131048 1079572436 1889251763 2159144872 3778503526 7557007052 15114014104