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30058624440 = 233251359310831
BaseRepresentation
bin11011111111101000…
…100011010110111000
32212120211121022222200
4123333220203112320
5443030001440230
621450404350200
72112611043405
oct337750432670
985524538880
1030058624440
1111825345489
1259aa6a5360
132ab057cc10
1416521492ac
15badd59160
hex6ffa235b8

30058624440 has 192 divisors, whose sum is σ = 105392327040. Its totient is φ = 7385886720.

The previous prime is 30058624433. The next prime is 30058624441. The reversal of 30058624440 is 4442685003.

30058624440 is a `hidden beast` number, since 30 + 0 + 586 + 2 + 4 + 4 + 40 = 666.

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 = 30058624395 and 30058624404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30058624441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2769825 + ... + 2780655.

It is an arithmetic number, because the mean of its divisors is an integer number (548918370).

Almost surely, 230058624440 is an apocalyptic number.

30058624440 is a gapful number since it is divisible by the number (30) 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 30058624440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52696163520).

30058624440 is an abundant number, since it is smaller than the sum of its proper divisors (75333702600).

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

30058624440 is a wasteful number, since it uses less digits than its factorization.

30058624440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 30058624440 in words is "thirty billion, fifty-eight million, six hundred twenty-four thousand, four hundred forty".