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2042144610 = 235116188317
BaseRepresentation
bin111100110111000…
…1010011101100010
312021022122200202120
41321232022131202
513140242111420
6534350125110
7101414641242
oct17156123542
95238580676
102042144610
11958812520
1248bab0796
132671120bc
14155309b22
15be439d40
hex79b8a762

2042144610 has 32 divisors (see below), whose sum is σ = 5346706752. Its totient is φ = 495065280.

The previous prime is 2042144603. The next prime is 2042144617. The reversal of 2042144610 is 164412402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042144603) and next prime (2042144617).

It is not an unprimeable number, because it can be changed into a prime (2042144617) 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 15 ways as a sum of consecutive naturals, for example, 3093829 + ... + 3094488.

It is an arithmetic number, because the mean of its divisors is an integer number (167084586).

Almost surely, 22042144610 is an apocalyptic number.

2042144610 is an abundant number, since it is smaller than the sum of its proper divisors (3304562142).

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

2042144610 is a wasteful number, since it uses less digits than its factorization.

2042144610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188338.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2042144610 is about 45190.0941579015. The cubic root of 2042144610 is about 1268.7094191037.

The spelling of 2042144610 in words is "two billion, forty-two million, one hundred forty-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 6188317 12376634 18564951 30941585 37129902 61883170 68071487 92824755 136142974 185649510 204214461 340357435 408428922 680714870 1021072305 2042144610