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342246094848 = 21132731412087
BaseRepresentation
bin1001111101011110111…
…01001111100000000000
31012201101201102000010200
410332233131033200000
521101410000013343
6421120425325200
733504114543540
oct4765735174000
91181351360120
10342246094848
11122166aa8679
12563b5636800
1326373331578
14127c9b49320
158d8146a4d3
hex4faf74f800

342246094848 has 576 divisors, whose sum is σ = 1195135119360. Its totient is φ = 92277964800.

The previous prime is 342246094777. The next prime is 342246094867. The reversal of 342246094848 is 848490642243.

It is a happy number.

342246094848 is a `hidden beast` number, since 3 + 4 + 2 + 24 + 609 + 4 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 342246094794 and 342246094803.

It is a congruent number.

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, 163988461 + ... + 163990547.

It is an arithmetic number, because the mean of its divisors is an integer number (2074887360).

Almost surely, 2342246094848 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 342246094848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597567559680).

342246094848 is an abundant number, since it is smaller than the sum of its proper divisors (852889024512).

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

342246094848 is a wasteful number, since it uses less digits than its factorization.

342246094848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 342246094848 in words is "three hundred forty-two billion, two hundred forty-six million, ninety-four thousand, eight hundred forty-eight".