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3422410112640 = 2735172310145137
BaseRepresentation
bin110001110011010111100…
…010011111111010000000
3110010011211122102022200210
4301303113202133322000
5422033043442101030
611140122234114120
7502155340654341
oct61632742377200
913104748368623
103422410112640
1110aa488317422
1247335227b940
131ba968c6270c
14bb9074b40c8
155e05877abb0
hex31cd789fe80

3422410112640 has 512 divisors, whose sum is σ = 12172440291840. Its totient is φ = 813459046400.

The previous prime is 3422410112609. The next prime is 3422410112651. The reversal of 3422410112640 is 462110142243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3422410112598 and 3422410112607.

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, 75800152 + ... + 75845288.

It is an arithmetic number, because the mean of its divisors is an integer number (23774297445).

Almost surely, 23422410112640 is an apocalyptic number.

3422410112640 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 3422410112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086220145920).

3422410112640 is an abundant number, since it is smaller than the sum of its proper divisors (8750030179200).

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

3422410112640 is a wasteful number, since it uses less digits than its factorization.

3422410112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45300 (or 45288 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 3422410112640 its reverse (462110142243), we get a palindrome (3884520254883).

The spelling of 3422410112640 in words is "three trillion, four hundred twenty-two billion, four hundred ten million, one hundred twelve thousand, six hundred forty".