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142082336766279 = 37132192313799439
BaseRepresentation
bin100000010011100100011111…
…001101100011100101000111
3200122001221100100020111021110
4200103210133031203211013
5122110334111203010104
61222103420250420103
741633052520536330
oct4023443715434507
9618057310214243
10142082336766279
11412a9865031208
1213b28613131633
1361383cb255700
142712b70dd5287
151165d4abbce89
hex81391f363947

142082336766279 has 288 divisors, whose sum is σ = 256112993894400. Its totient is φ = 68521202830080.

The previous prime is 142082336766277. The next prime is 142082336766329. The reversal of 142082336766279 is 972667633280241.

It is not a de Polignac number, because 142082336766279 - 21 = 142082336766277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142082336766277) 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 287 ways as a sum of consecutive naturals, for example, 15052684842 + ... + 15052694280.

It is an arithmetic number, because the mean of its divisors is an integer number (889281228800).

Almost surely, 2142082336766279 is an apocalyptic number.

142082336766279 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

142082336766279 is a deficient number, since it is larger than the sum of its proper divisors (114030657128121).

142082336766279 is a wasteful number, since it uses less digits than its factorization.

142082336766279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 142082336766279 in words is "one hundred forty-two trillion, eighty-two billion, three hundred thirty-six million, seven hundred sixty-six thousand, two hundred seventy-nine".