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35144641242 = 2321952480069
BaseRepresentation
bin100000101110110010…
…001010101011011010
310100201021211202102100
4200232302022223122
51033434012004432
624051211344230
72352626343624
oct405662125332
9110637752370
1035144641242
11139a5263157
126989a52076
133411197709
1419b57dbc14
15daa60207c
hex82ec8aada

35144641242 has 12 divisors (see below), whose sum is σ = 76146722730. Its totient is φ = 11714880408.

The previous prime is 35144641223. The next prime is 35144641243. The reversal of 35144641242 is 24214644153.

35144641242 is a `hidden beast` number, since 3 + 5 + 1 + 4 + 4 + 641 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23498130681 + 11646510561 = 153291^2 + 107919^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35144641197 and 35144641206.

It is not an unprimeable number, because it can be changed into a prime (35144641243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 976240017 + ... + 976240052.

Almost surely, 235144641242 is an apocalyptic number.

35144641242 is an abundant number, since it is smaller than the sum of its proper divisors (41002081488).

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

35144641242 is a wasteful number, since it uses less digits than its factorization.

35144641242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952480077 (or 1952480074 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 35144641242 in words is "thirty-five billion, one hundred forty-four million, six hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 1952480069 3904960138 5857440207 11714880414 17572320621 35144641242