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290561467060140 = 2235472272931549157
BaseRepresentation
bin100001000010000111001110…
…1000001111000111110101100
31102002210101221020001020012020
41002010032131001320332230
5301041024341031411030
62505550032322510140
7115126242010303113
oct10204163501707654
91362711836036166
10290561467060140
1184644476262a61
1228708913505350
13c618aa0a82683
1451a737018ac7a
15238d285991510
hex108439d078fac

290561467060140 has 192 divisors, whose sum is σ = 837391234627584. Its totient is φ = 75242680425472.

The previous prime is 290561467060133. The next prime is 290561467060157. The reversal of 290561467060140 is 41060764165092.

It is a happy number.

It is a super-2 number, since 2×2905614670601402 (a number of 30 digits) contains 22 as substring.

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, 186786442 + ... + 188335598.

It is an arithmetic number, because the mean of its divisors is an integer number (4361412680352).

Almost surely, 2290561467060140 is an apocalyptic number.

290561467060140 is a gapful number since it is divisible by the number (20) 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 290561467060140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418695617313792).

290561467060140 is an abundant number, since it is smaller than the sum of its proper divisors (546829767567444).

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

290561467060140 is a wasteful number, since it uses less digits than its factorization.

290561467060140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549736 (or 1549734 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 290561467060140 in words is "two hundred ninety trillion, five hundred sixty-one billion, four hundred sixty-seven million, sixty thousand, one hundred forty".