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14162674240 = 26511131272437
BaseRepresentation
bin11010011000010100…
…10100001001000000
31100120000120101200101
431030022110021000
5213001121033430
610301203132144
71010651513311
oct151412241100
940500511611
1014162674240
116008507860
1228b3074054
131449227920
14984d40608
1557d567dca
hex34c294240

14162674240 has 224 divisors, whose sum is σ = 39949185024. Its totient is φ = 4714536960.

The previous prime is 14162674217. The next prime is 14162674259. The reversal of 14162674240 is 4247626141.

It is a self number, because there is not a number n which added to its sum of digits gives 14162674240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5810302 + ... + 5812738.

It is an arithmetic number, because the mean of its divisors is an integer number (178344576).

Almost surely, 214162674240 is an apocalyptic number.

14162674240 is a gapful number since it is divisible by the number (10) 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 14162674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974592512).

14162674240 is an abundant number, since it is smaller than the sum of its proper divisors (25786510784).

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

14162674240 is a wasteful number, since it uses less digits than its factorization.

14162674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 14162674240 in words is "fourteen billion, one hundred sixty-two million, six hundred seventy-four thousand, two hundred forty".