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142376541732 = 22325374620829
BaseRepresentation
bin1000010010011001001…
…1011001111000100100
3111121111110120201010100
42010212103121320210
54313041343313412
6145223515224100
713200136431255
oct2044623317044
9447443521110
10142376541732
1155421934117
1223715748030
13105700563c9
146c69102b2c
153a846b1edc
hex21264d9e24

142376541732 has 36 divisors (see below), whose sum is σ = 366686758620. Its totient is φ = 46563396672.

The previous prime is 142376541731. The next prime is 142376541733. The reversal of 142376541732 is 237145673241.

It is a happy number.

142376541732 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 76 + 541 + 7 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (142376541731) and next prime (142376541733).

It can be written as a sum of positive squares in 2 ways, for example, as 108599247936 + 33777293796 = 329544^2 + 183786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (142376541731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37308507 + ... + 37312322.

It is an arithmetic number, because the mean of its divisors is an integer number (10185743295).

Almost surely, 2142376541732 is an apocalyptic number.

142376541732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142376541732 is an abundant number, since it is smaller than the sum of its proper divisors (224310216888).

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

142376541732 is a wasteful number, since it uses less digits than its factorization.

142376541732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74620892 (or 74620887 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 142376541732 in words is "one hundred forty-two billion, three hundred seventy-six million, five hundred forty-one thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 74620829 149241658 223862487 298483316 447724974 671587461 895449948 1343174922 2686349844 3954903937 7909807874 11864711811 15819615748 23729423622 35594135433 47458847244 71188270866 142376541732