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14396302440 = 233251317180949
BaseRepresentation
bin11010110100001011…
…00010010001101000
31101011022011221022200
431122011202101220
5213440423134230
610340310420200
71016516360142
oct153205422150
941138157280
1014396302440
116118379113
122959361660
131485757470
149a7d97c92
15593d16160
hex35a162468

14396302440 has 192 divisors, whose sum is σ = 53351298000. Its totient is φ = 3335233536.

The previous prime is 14396302399. The next prime is 14396302471. The reversal of 14396302440 is 4420369341.

It is a happy number.

14396302440 is a `hidden beast` number, since 14 + 3 + 9 + 630 + 2 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10417468356 + 3978834084 = 102066^2 + 63078^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14396302395 and 14396302404.

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, 10915 + ... + 170034.

Almost surely, 214396302440 is an apocalyptic number.

14396302440 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 14396302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26675649000).

14396302440 is an abundant number, since it is smaller than the sum of its proper divisors (38954995560).

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

14396302440 is a wasteful number, since it uses less digits than its factorization.

14396302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180996 (or 180989 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 14396302440 in words is "fourteen billion, three hundred ninety-six million, three hundred two thousand, four hundred forty".