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342036152136 = 2332719374212293
BaseRepresentation
bin1001111101000101111…
…00010111111101001000
31012200212002100210212200
410332202330113331020
521100442223332021
6421043525440200
733465655215630
oct4764274277510
91180762323780
10342036152136
111220695445a8
1256357270060
132633b9a5803
14127a9cd96c0
158d6ccea126
hex4fa2f17f48

342036152136 has 384 divisors, whose sum is σ = 1147741420800. Its totient is φ = 89825863680.

The previous prime is 342036152089. The next prime is 342036152141. The reversal of 342036152136 is 631251630243.

342036152136 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 3 + 615 + 2 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342036152136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149164206 + ... + 149166498.

It is an arithmetic number, because the mean of its divisors is an integer number (2988909950).

Almost surely, 2342036152136 is an apocalyptic number.

342036152136 is a gapful number since it is divisible by the number (36) 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 342036152136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573870710400).

342036152136 is an abundant number, since it is smaller than the sum of its proper divisors (805705268664).

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

342036152136 is a wasteful number, since it uses less digits than its factorization.

342036152136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 342036152136 its reverse (631251630243), we get a palindrome (973287782379).

The spelling of 342036152136 in words is "three hundred forty-two billion, thirty-six million, one hundred fifty-two thousand, one hundred thirty-six".