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15130131744 = 2537131731929
BaseRepresentation
bin11100001011101001…
…10111110100100000
31110001110000022212210
432011310313310200
5221441303203434
610541203122120
71043636666160
oct160564676440
943043008783
1015130131744
116464623a12
122b23073340
1315717ac7a0
14a3761a5a0
155d846bee9
hex385d37d20

15130131744 has 96 divisors (see below), whose sum is σ = 48881992320. Its totient is φ = 3990362112.

The previous prime is 15130131721. The next prime is 15130131763. The reversal of 15130131744 is 44713103151.

15130131744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 857229 + ... + 874700.

It is an arithmetic number, because the mean of its divisors is an integer number (509187420).

Almost surely, 215130131744 is an apocalyptic number.

15130131744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

15130131744 is an abundant number, since it is smaller than the sum of its proper divisors (33751860576).

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

15130131744 is a wasteful number, since it uses less digits than its factorization.

15130131744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731962 (or 1731954 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 15130131744 its reverse (44713103151), we get a palindrome (59843234895).

The spelling of 15130131744 in words is "fifteen billion, one hundred thirty million, one hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 1731929 3463858 5195787 6927716 10391574 12123503 13855432 20783148 22515077 24247006 27710864 36370509 41566296 45030154 48494012 55421728 67545231 72741018 83132592 90060308 96988024 135090462 145482036 157605539 166265184 180120616 193976048 270180924 290964072 315211078 360241232 387952096 472816617 540361848 581928144 630422156 720482464 945633234 1080723696 1163856288 1260844312 1891266468 2161447392 2521688624 3782532936 5043377248 7565065872 15130131744