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342161780800 = 26527311576277
BaseRepresentation
bin1001111101010100110…
…11100111000001000000
31012201011211202102000011
410332222123213001000
521101221403441200
6421104214234304
733502042102150
oct4765233470100
91181154672004
10342161780800
11122123450244
1256391355994
132635ba206b8
14127bc87c760
158d78d635ba
hex4faa6e7040

342161780800 has 336 divisors, whose sum is σ = 999732425728. Its totient is φ = 112787251200.

The previous prime is 342161780791. The next prime is 342161780833. The reversal of 342161780800 is 8087161243.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54507262 + ... + 54513538.

Almost surely, 2342161780800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342161780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499866212864).

342161780800 is an abundant number, since it is smaller than the sum of its proper divisors (657570644928).

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

342161780800 is a wasteful number, since it uses less digits than its factorization.

342161780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6494 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 342161780800 in words is "three hundred forty-two billion, one hundred sixty-one million, seven hundred eighty thousand, eight hundred".