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245305345134330 = 232513893373698417
BaseRepresentation
bin110111110001101010011001…
…111101010100111011111010
31012011112221222021102011220100
4313301222121331110323322
5224123040321323244310
62225415415252140230
7102445504063064145
oct6761523175247372
91164487867364810
10245305345134330
117118645a25a768
122361999b907676
13a6b526bc49680
144480bb084b05c
151d55e4d069ec0
hexdf1a99f54efa

245305345134330 has 192 divisors, whose sum is σ = 694779353966880. Its totient is φ = 59686609010688.

The previous prime is 245305345134301. The next prime is 245305345134347. The reversal of 245305345134330 is 33431543503542.

245305345134330 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 0 + 534 + 51 + 34 + 3 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5654232446769 + 239651112687561 = 2377863^2 + 15480669^2 .

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 95 ways as a sum of consecutive naturals, for example, 350881282 + ... + 351579698.

Almost surely, 2245305345134330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245305345134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347389676983440).

245305345134330 is an abundant number, since it is smaller than the sum of its proper divisors (449474008832550).

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

245305345134330 is a wasteful number, since it uses less digits than its factorization.

245305345134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701905 (or 701902 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 45.

Adding to 245305345134330 its reverse (33431543503542), we get a palindrome (278736888637872).

The spelling of 245305345134330 in words is "two hundred forty-five trillion, three hundred five billion, three hundred forty-five million, one hundred thirty-four thousand, three hundred thirty".