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1400638466304 = 283372111947421
BaseRepresentation
bin10100011000011100100…
…011101110100100000000
311221220021220101020121000
4110120130203232210000
5140422001421410204
62551235555132000
7203123061345600
oct24303443564400
94856256336530
101400638466304
114a00099994a0
121a7552ba4000
13a2105c8019c
144bb11326c00
152667922a039
hex1461c8ee900

1400638466304 has 1728 divisors, whose sum is σ = 5663966515200. Its totient is φ = 336520396800.

The previous prime is 1400638466303. The next prime is 1400638466317. The reversal of 1400638466304 is 4036648360041.

It is a happy number.

1400638466304 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 3 + 8 + 4 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×14006384663042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1400638466304.

It is not an unprimeable number, because it can be changed into a prime (1400638466303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3326932014 + ... + 3326932434.

It is an arithmetic number, because the mean of its divisors is an integer number (3277758400).

Almost surely, 21400638466304 is an apocalyptic number.

1400638466304 is a gapful number since it is divisible by the number (14) 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 1400638466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831983257600).

1400638466304 is an abundant number, since it is smaller than the sum of its proper divisors (4263328048896).

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

1400638466304 is a wasteful number, since it uses less digits than its factorization.

1400638466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1400638466304 in words is "one trillion, four hundred billion, six hundred thirty-eight million, four hundred sixty-six thousand, three hundred four".