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13124240352 = 253331490003
BaseRepresentation
bin11000011100100010…
…00000001111100000
31020212122120111012000
430032101000033200
5203334301142402
610010150004000
7643142126256
oct141621001740
936778514160
1013124240352
115625323033
122663346600
1313120519c2
148c706a5d6
1551c2e3c1c
hex30e4403e0

13124240352 has 96 divisors (see below), whose sum is σ = 39513922560. Its totient is φ = 4233617280.

The previous prime is 13124240351. The next prime is 13124240387. The reversal of 13124240352 is 25304242131.

13124240352 is a `hidden beast` number, since 1 + 31 + 242 + 40 + 352 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124240351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218218 + ... + 271785.

It is an arithmetic number, because the mean of its divisors is an integer number (411603360).

Almost surely, 213124240352 is an apocalyptic number.

13124240352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13124240352 is an abundant number, since it is smaller than the sum of its proper divisors (26389682208).

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

13124240352 is a wasteful number, since it uses less digits than its factorization.

13124240352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490053 (or 490039 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13124240352 its reverse (25304242131), we get a palindrome (38428482483).

The spelling of 13124240352 in words is "thirteen billion, one hundred twenty-four million, two hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 490003 980006 1470009 1960012 2940018 3920024 4410027 5880036 7840048 8820054 11760072 13230081 15190093 15680096 17640108 23520144 26460162 30380186 35280216 45570279 47040288 52920324 60760372 70560432 91140558 105840648 121520744 136710837 141120864 182281116 211681296 243041488 273421674 364562232 410132511 423362592 486082976 546843348 729124464 820265022 1093686696 1458248928 1640530044 2187373392 3281060088 4374746784 6562120176 13124240352