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342869127120 = 243351319163929
BaseRepresentation
bin1001111110101001001…
…01111010111111010000
31012210000010202022202000
410333110211322333100
521104143444031440
6421302323154000
733525421331262
oct4772445727720
91183003668660
10342869127120
11122456757a83
125654a215900
1326442432810
14128487a9b32
158dbaed7730
hex4fd497afd0

342869127120 has 320 divisors, whose sum is σ = 1278518169600. Its totient is φ = 83955363840.

The previous prime is 342869127071. The next prime is 342869127149. The reversal of 342869127120 is 21721968243.

342869127120 is a `hidden beast` number, since 342 + 8 + 69 + 127 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 5331316 + ... + 5395244.

It is an arithmetic number, because the mean of its divisors is an integer number (3995369280).

Almost surely, 2342869127120 is an apocalyptic number.

342869127120 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 342869127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639259084800).

342869127120 is an abundant number, since it is smaller than the sum of its proper divisors (935649042480).

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

342869127120 is a wasteful number, since it uses less digits than its factorization.

342869127120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64155 (or 64143 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 342869127120 in words is "three hundred forty-two billion, eight hundred sixty-nine million, one hundred twenty-seven thousand, one hundred twenty".