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30995490240 = 26335111325087
BaseRepresentation
bin11100110111011110…
…011010010111000000
32222000010111001021000
4130313132122113000
51001434321141430
622123352532000
72145045214521
oct346736322700
988003431230
1030995490240
1112166167640
1260103b1000
132bcc6b3690
141700740848
15c16218e60
hex73779a5c0

30995490240 has 448 divisors, whose sum is σ = 128466616320. Its totient is φ = 6935777280.

The previous prime is 30995490221. The next prime is 30995490269. The reversal of 30995490240 is 4209459903.

It is a happy number.

30995490240 is a `hidden beast` number, since 30 + 9 + 95 + 490 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222977 + ... + 1248063.

It is an arithmetic number, because the mean of its divisors is an integer number (286755840).

Almost surely, 230995490240 is an apocalyptic number.

30995490240 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 30995490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64233308160).

30995490240 is an abundant number, since it is smaller than the sum of its proper divisors (97471126080).

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

30995490240 is a wasteful number, since it uses less digits than its factorization.

30995490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25137 (or 25121 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 30995490240 in words is "thirty billion, nine hundred ninety-five million, four hundred ninety thousand, two hundred forty".