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425302232040 = 233457313716349
BaseRepresentation
bin1100011000001011111…
…11010000101111101000
31111122210001011221020000
412030011333100233220
523432004332411130
6523214154503000
742504246216240
oct6140577205750
91448701157200
10425302232040
11154408027874
126a514a34a60
133114b67458a
1416828740b20
15b0e2dbb260
hex6305fd0be8

425302232040 has 640 divisors, whose sum is σ = 1732084992000. Its totient is φ = 91527874560.

The previous prime is 425302232027. The next prime is 425302232083. The reversal of 425302232040 is 40232203524.

It is a happy number.

425302232040 is a `hidden beast` number, since 42 + 530 + 22 + 32 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 425302231995 and 425302232013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26005786 + ... + 26022134.

It is an arithmetic number, because the mean of its divisors is an integer number (2706382800).

Almost surely, 2425302232040 is an apocalyptic number.

425302232040 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 425302232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866042496000).

425302232040 is an abundant number, since it is smaller than the sum of its proper divisors (1306782759960).

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

425302232040 is a wasteful number, since it uses less digits than its factorization.

425302232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16447 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 425302232040 its reverse (40232203524), we get a palindrome (465534435564).

The spelling of 425302232040 in words is "four hundred twenty-five billion, three hundred two million, two hundred thirty-two thousand, forty".