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132014542141020 = 2235711143593198997
BaseRepresentation
bin11110000001000100000111…
…111000111011011001011100
3122022102110121102110102222110
4132001010013320323121130
5114300411240242003040
61144434350551314020
736543510264315240
oct3601040770733134
9568373542412873
10132014542141020
1139078064476880
121298137707b910
135887bc1846716
14248577612a420
15103e004098980
hex781107e3b65c

132014542141020 has 192 divisors, whose sum is σ = 460856290599936. Its totient is φ = 27431264286720.

The previous prime is 132014542141007. The next prime is 132014542141039. The reversal of 132014542141020 is 20141245410231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 663300162 + ... + 663499158.

It is an arithmetic number, because the mean of its divisors is an integer number (2400293180208).

Almost surely, 2132014542141020 is an apocalyptic number.

132014542141020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132014542141020 is an abundant number, since it is smaller than the sum of its proper divisors (328841748458916).

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

132014542141020 is a wasteful number, since it uses less digits than its factorization.

132014542141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342620 (or 342618 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 132014542141020 its reverse (20141245410231), we get a palindrome (152155787551251).

The spelling of 132014542141020 in words is "one hundred thirty-two trillion, fourteen billion, five hundred forty-two million, one hundred forty-one thousand, twenty".