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342112542120 = 23325950312617
BaseRepresentation
bin1001111101001110111…
…11110001110110101000
31012201001102002211020100
410332213133301312220
521101121302321440
6421055255025400
733500603425146
oct4764737616650
91181042084210
10342112542120
111220a867a518
125637896b260
132635177099b
14127b6102596
158d74889230
hex4fa77f1da8

342112542120 has 48 divisors (see below), whose sum is σ = 1111865763060. Its totient is φ = 91230011136.

The previous prime is 342112542049. The next prime is 342112542137. The reversal of 342112542120 is 21245211243.

342112542120 is a `hidden beast` number, since 3 + 4 + 2 + 112 + 542 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 331699972356 + 10412569764 = 575934^2 + 102042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475155949 + ... + 475156668.

Almost surely, 2342112542120 is an apocalyptic number.

342112542120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342112542120 is an abundant number, since it is smaller than the sum of its proper divisors (769753220940).

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

342112542120 is a wasteful number, since it uses less digits than its factorization.

342112542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950312634 (or 950312627 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 342112542120 its reverse (21245211243), we get a palindrome (363357753363).

The spelling of 342112542120 in words is "three hundred forty-two billion, one hundred twelve million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 950312617 1900625234 2850937851 3801250468 4751563085 5701875702 7602500936 8552813553 9503126170 11403751404 14254689255 17105627106 19006252340 22807502808 28509378510 34211254212 38012504680 42764067765 57018757020 68422508424 85528135530 114037514040 171056271060 342112542120