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245115130540434 = 237311197138139799
BaseRepresentation
bin110111101110111001010000…
…010010001111000110010010
31012010212202222220002122001020
4313232321100102033012102
5224111431241404243214
62225152200401220310
7102425661302523000
oct6756712022170622
91163782886078036
10245115130540434
117111281a062a50
12235a8b55331696
13a6a0347020b2b
1444758c81cba70
151d51018c154a9
hexdeee5048f192

245115130540434 has 256 divisors, whose sum is σ = 627305057280000. Its totient is φ = 63295630675200.

The previous prime is 245115130540433. The next prime is 245115130540447. The reversal of 245115130540434 is 434045031511542.

245115130540434 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (245115130540433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6158806467 + ... + 6158846265.

It is an arithmetic number, because the mean of its divisors is an integer number (2450410380000).

Almost surely, 2245115130540434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245115130540434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313652528640000).

245115130540434 is an abundant number, since it is smaller than the sum of its proper divisors (382189926739566).

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

245115130540434 is a wasteful number, since it uses less digits than its factorization.

245115130540434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41414 (or 41400 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 245115130540434 in words is "two hundred forty-five trillion, one hundred fifteen billion, one hundred thirty million, five hundred forty thousand, four hundred thirty-four".