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342743679911808 = 2733724394610363
BaseRepresentation
bin100110111101110010011101…
…1010010100100011110000000
31122221112222100100200021101000
41031323210323102210132000
5324411003024024134213
63212542134535012000
7132123261621146100
oct11573447322443600
91587488310607330
10342743679911808
119a23286200123a
1232536030b0a000
1311932789c62426
14608cc4dca5200
15299583a1e1c73
hex137b93b4a4780

342743679911808 has 384 divisors, whose sum is σ = 1179404877024000. Its totient is φ = 97703676693504.

The previous prime is 342743679911797. The next prime is 342743679911833. The reversal of 342743679911808 is 808119976347243.

342743679911808 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 436 + 7 + 9 + 9 + 1 + 180 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 72036835 + ... + 76647197.

It is an arithmetic number, because the mean of its divisors is an integer number (3071366867250).

Almost surely, 2342743679911808 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 342743679911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589702438512000).

342743679911808 is an abundant number, since it is smaller than the sum of its proper divisors (836661197112192).

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

342743679911808 is a wasteful number, since it uses less digits than its factorization.

342743679911808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610839 (or 4610814 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 342743679911808 in words is "three hundred forty-two trillion, seven hundred forty-three billion, six hundred seventy-nine million, nine hundred eleven thousand, eight hundred eight".