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30966422040 = 23335312713413
BaseRepresentation
bin11100110101101111…
…100001101000011000
32221221002210020012000
4130311233201220120
51001404401001130
622120433521000
72144243146551
oct346557415030
987832706160
1030966422040
1112150813234
126002713160
132bc6676868
1416da935328
15c138c6260
hex735be1a18

30966422040 has 256 divisors, whose sum is σ = 106975641600. Its totient is φ = 7959513600.

The previous prime is 30966422033. The next prime is 30966422051. The reversal of 30966422040 is 4022466903.

30966422040 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 642 + 2 + 0 + 4 + 0 = 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 = 30966421986 and 30966422004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9071374 + ... + 9074786.

It is an arithmetic number, because the mean of its divisors is an integer number (417873600).

Almost surely, 230966422040 is an apocalyptic number.

30966422040 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 30966422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487820800).

30966422040 is an abundant number, since it is smaller than the sum of its proper divisors (76009219560).

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

30966422040 is a wasteful number, since it uses less digits than its factorization.

30966422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735 (or 3725 counting only the distinct ones).

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

Adding to 30966422040 its reverse (4022466903), we get a palindrome (34988888943).

The spelling of 30966422040 in words is "thirty billion, nine hundred sixty-six million, four hundred twenty-two thousand, forty".