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14392423131840 = 26325132459156329
BaseRepresentation
bin1101000101101111111101…
…0001001010101011000000
31212221220100201021112121200
43101123333101022223000
53341301140310204330
650335442104421200
73013550443054665
oct321337721125300
955856321245550
1014392423131840
114649879714876
121745421477800
138052798cc540
1437a85022da6c
1519e5a752da60
hexd16ff44aac0

14392423131840 has 336 divisors, whose sum is σ = 53333955511200. Its totient is φ = 3541286928384.

The previous prime is 14392423131797. The next prime is 14392423131857. The reversal of 14392423131840 is 4813132429341.

14392423131840 is a `hidden beast` number, since 1 + 4 + 3 + 92 + 423 + 131 + 8 + 4 + 0 = 666.

14392423131840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143924231318402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91986796 + ... + 92143124.

It is an arithmetic number, because the mean of its divisors is an integer number (158732010450).

Almost surely, 214392423131840 is an apocalyptic number.

14392423131840 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 14392423131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26666977755600).

14392423131840 is an abundant number, since it is smaller than the sum of its proper divisors (38941532379360).

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

14392423131840 is a wasteful number, since it uses less digits than its factorization.

14392423131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158824 (or 158811 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14392423131840 in words is "fourteen trillion, three hundred ninety-two billion, four hundred twenty-three million, one hundred thirty-one thousand, eight hundred forty".