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423851444640 = 2532513172379733
BaseRepresentation
bin1100010101011111000…
…00111100100110100000
31111112000221021022001100
412022233200330212200
523421021432212030
6522414211234400
742423301556331
oct6125740744640
91445027238040
10423851444640
111538330aa818
126a18aba8a00
1330c79c231b0
141672bbac288
15b05a843360
hex62af83c9a0

423851444640 has 1152 divisors, whose sum is σ = 1745150883840. Its totient is φ = 92610625536.

The previous prime is 423851444591. The next prime is 423851444651. The reversal of 423851444640 is 46444158324.

It is a happy number.

423851444640 is a `hidden beast` number, since 4 + 2 + 38 + 514 + 44 + 64 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 578241714 + ... + 578242446.

It is an arithmetic number, because the mean of its divisors is an integer number (1514887920).

Almost surely, 2423851444640 is an apocalyptic number.

423851444640 is a gapful number since it is divisible by the number (40) 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 423851444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872575441920).

423851444640 is an abundant number, since it is smaller than the sum of its proper divisors (1321299439200).

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

423851444640 is a wasteful number, since it uses less digits than its factorization.

423851444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 423851444640 in words is "four hundred twenty-three billion, eight hundred fifty-one million, four hundred forty-four thousand, six hundred forty".