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342133525024 = 2517628921921
BaseRepresentation
bin1001111101010001011…
…11110100101000100000
31012201002212120212100221
410332220233310220200
521101142140300044
6421101324452424
733501246656614
oct4765057645040
91181085525327
10342133525024
11122109501265
12563839aa114
1326355c095c5
14127b8c05344
158d76631484
hex4fa8bf4a20

342133525024 has 24 divisors (see below), whose sum is σ = 713197459548. Its totient is φ = 161004011520.

The previous prime is 342133525021. The next prime is 342133525049. The reversal of 342133525024 is 420525331243.

It can be written as a sum of positive squares in 2 ways, for example, as 287797915024 + 54335610000 = 536468^2 + 233100^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (342133525021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314460417 + ... + 314461504.

Almost surely, 2342133525024 is an apocalyptic number.

342133525024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

342133525024 is an abundant number, since it is smaller than the sum of its proper divisors (371063934524).

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

342133525024 is a wasteful number, since it uses less digits than its factorization.

342133525024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628921948 (or 628921940 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 342133525024 its reverse (420525331243), we get a palindrome (762658856267).

The spelling of 342133525024 in words is "three hundred forty-two billion, one hundred thirty-three million, five hundred twenty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 628921921 1257843842 2515687684 5031375368 10062750736 10691672657 20125501472 21383345314 42766690628 85533381256 171066762512 342133525024