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342042000000 = 27356109523
BaseRepresentation
bin1001111101000110100…
…10101011101010000000
31012200212111100220122020
410332203102223222000
521101000223000000
6421044255041440
733466056013041
oct4764322535200
91180774326566
10342042000000
11122071879148
1256359210280
132633cc7249c
14127aa9bc8c8
158d6d5a2ba0
hex4fa34aba80

342042000000 has 448 divisors, whose sum is σ = 1148282176800. Its totient is φ = 90201600000.

The previous prime is 342041999989. The next prime is 342042000017. The reversal of 342042000000 is 240243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 653999739 + ... + 654000261.

Almost surely, 2342042000000 is an apocalyptic number.

342042000000 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 342042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574141088400).

342042000000 is an abundant number, since it is smaller than the sum of its proper divisors (806240176800).

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

342042000000 is an frugal number, since it uses more digits than its factorization.

342042000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 342042000000 its reverse (240243), we get a palindrome (342042240243).

The spelling of 342042000000 in words is "three hundred forty-two billion, forty-two million", and thus it is an aban number.