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132140410120998 = 23265551111199101
BaseRepresentation
bin11110000010111001010110…
…001101001010101100100110
3122022212111111101021022201200
4132002321112031022230212
5114304442024442332443
61145012244423103330
736555554355433056
oct3602712615125446
9568774441238650
10132140410120998
1139116484690124
12129a1843ba1b46
135896a30654796
14248b8b6917566
15104241e2a9dd3
hex782e5634ab26

132140410120998 has 24 divisors (see below), whose sum is σ = 286304684258736. Its totient is φ = 44046732246000.

The previous prime is 132140410120991. The next prime is 132140410121009. The reversal of 132140410120998 is 899021014041231.

132140410120998 is a `hidden beast` number, since 1 + 3 + 2 + 140 + 410 + 1 + 2 + 0 + 9 + 98 = 666.

It is a super-4 number, since 4×1321404101209984 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132140410120991) 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 11 ways as a sum of consecutive naturals, for example, 6199648 + ... + 17398748.

It is an arithmetic number, because the mean of its divisors is an integer number (11929361844114).

Almost surely, 2132140410120998 is an apocalyptic number.

132140410120998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132140410120998 is an abundant number, since it is smaller than the sum of its proper divisors (154164274137738).

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

132140410120998 is a wasteful number, since it uses less digits than its factorization.

132140410120998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854620 (or 11854617 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 132140410120998 in words is "one hundred thirty-two trillion, one hundred forty billion, four hundred ten million, one hundred twenty thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 655511 1311022 1966533 3933066 5899599 11199101 11799198 22398202 33597303 67194606 100791909 201583818 7341133895611 14682267791222 22023401686833 44046803373666 66070205060499 132140410120998