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2142601146435 = 351757259146743
BaseRepresentation
bin11111001011011100111…
…110101111000001000011
321120211102120001122211010
4133023130332233001003
5240101021343141220
64320144122252003
7310540440151461
oct37133476570103
97524376048733
102142601146435
11756743542822
122a7300957003
1312707acab069
14759b973b831
153ab022591e0
hex1f2dcfaf043

2142601146435 has 32 divisors (see below), whose sum is σ = 3629906542080. Its totient is φ = 1075475639808.

The previous prime is 2142601146373. The next prime is 2142601146479. The reversal of 2142601146435 is 5346411062412.

It is not a de Polignac number, because 2142601146435 - 237 = 2005162192963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2142601146393 and 2142601146402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14527674 + ... + 14674416.

It is an arithmetic number, because the mean of its divisors is an integer number (113434579440).

Almost surely, 22142601146435 is an apocalyptic number.

2142601146435 is a deficient number, since it is larger than the sum of its proper divisors (1487305395645).

2142601146435 is a wasteful number, since it uses less digits than its factorization.

2142601146435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204027.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2142601146435 in words is "two trillion, one hundred forty-two billion, six hundred one million, one hundred forty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 15 17 51 85 255 57259 146743 171777 286295 440229 733715 858885 973403 2201145 2494631 2920209 4867015 7483893 12473155 14601045 37419465 8402357437 25207072311 42011787185 126035361555 142840076429 428520229287 714200382145 2142601146435