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342942318180 = 223657211172151
BaseRepresentation
bin1001111110110001111…
…01000111111001100100
31012210012020110211000000
410333120331013321210
521104321213140210
6421313500021300
733530300415300
oct4773075077144
91183166424000
10342942318180
11122493aa8560
125656a831830
132645464a937
14128543bcd00
158dc2643ac0
hex4fd8f47e64

342942318180 has 1512 divisors, whose sum is σ = 1465235787456. Its totient is φ = 66624768000.

The previous prime is 342942318161. The next prime is 342942318223. The reversal of 342942318180 is 81813249243.

342942318180 is a `hidden beast` number, since 3 + 42 + 9 + 423 + 1 + 8 + 180 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2271141105 + ... + 2271141255.

It is an arithmetic number, because the mean of its divisors is an integer number (969071288).

Almost surely, 2342942318180 is an apocalyptic number.

342942318180 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 342942318180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732617893728).

342942318180 is an abundant number, since it is smaller than the sum of its proper divisors (1122293469276).

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

342942318180 is a wasteful number, since it uses less digits than its factorization.

342942318180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 342942318180 in words is "three hundred forty-two billion, nine hundred forty-two million, three hundred eighteen thousand, one hundred eighty".