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142262364144 = 2436148586873
BaseRepresentation
bin1000010001111101111…
…1110110011111110000
3111121012111201212220210
42010133133312133300
54312323131123034
6145204320104120
713164252100065
oct2043737663760
9447174655823
10142262364144
115537343987a
12236a3465040
13105524ba6c4
146c57ca0c6c
153a7965b8e9
hex211f7f67f0

142262364144 has 40 divisors (see below), whose sum is σ = 373535887312. Its totient is φ = 46643397120.

The previous prime is 142262364143. The next prime is 142262364191. The reversal of 142262364144 is 441463262241.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142262364143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24290509 + ... + 24296364.

Almost surely, 2142262364144 is an apocalyptic number.

It is an amenable number.

142262364144 is an abundant number, since it is smaller than the sum of its proper divisors (231273523168).

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

142262364144 is a wasteful number, since it uses less digits than its factorization.

142262364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48586945 (or 48586939 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The spelling of 142262364144 in words is "one hundred forty-two billion, two hundred sixty-two million, three hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 48586873 97173746 145760619 194347492 291521238 388694984 583042476 777389968 1166084952 2332169904 2963799253 5927598506 8891397759 11855197012 17782795518 23710394024 35565591036 47420788048 71131182072 142262364144