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342552050132544 = 26337172237470179
BaseRepresentation
bin100110111100011001001110…
…1010000111110011001000000
31122220212122201100102212011000
41031320302131100332121000
5324344333044313220134
63212314123411452000
7132103366064665020
oct11570623520763100
91586778640385130
10342552050132544
119a169565a9383a
1232504a705b7000
131191a69aa9c2b5
1460838716dda80
1529908719e7e99
hex1378c9d43e640

342552050132544 has 448 divisors, whose sum is σ = 1224067280486400. Its totient is φ = 91701753716736.

The previous prime is 342552050132543. The next prime is 342552050132557. The reversal of 342552050132544 is 445231050255243.

342552050132544 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 5 + 20 + 50 + 1 + 32 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 342552050132544.

It is not an unprimeable number, because it can be changed into a prime (342552050132543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 42120847 + ... + 49591025.

It is an arithmetic number, because the mean of its divisors is an integer number (2732293036800).

Almost surely, 2342552050132544 is an apocalyptic number.

342552050132544 is a gapful number since it is divisible by the number (34) 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 342552050132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612033640243200).

342552050132544 is an abundant number, since it is smaller than the sum of its proper divisors (881515230353856).

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

342552050132544 is a wasteful number, since it uses less digits than its factorization.

342552050132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470447 (or 7470431 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 342552050132544 in words is "three hundred forty-two trillion, five hundred fifty-two billion, fifty million, one hundred thirty-two thousand, five hundred forty-four".