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142032132432 = 24324124056933
BaseRepresentation
bin1000010001000111000…
…1100101100101010000
3111120121110111220101100
42010101301211211100
54311340211214212
6145125413304400
713155455130441
oct2042161454520
9446543456340
10142032132432
1155265488333
122363a335100
13105168a9b18
146c3548d2c8
153a6432ebdc
hex2111c65950

142032132432 has 60 divisors (see below), whose sum is σ = 407187664884. Its totient is φ = 46189309440.

The previous prime is 142032132427. The next prime is 142032132433. The reversal of 142032132432 is 234231230241.

142032132432 is a `hidden beast` number, since 1 + 4 + 203 + 21 + 3 + 2 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8278088256 + 133754044176 = 90984^2 + 365724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142032132396 and 142032132405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142032132433) 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, 12022563 + ... + 12034370.

Almost surely, 2142032132432 is an apocalyptic number.

142032132432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142032132432 is an abundant number, since it is smaller than the sum of its proper divisors (265155532452).

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

142032132432 is a wasteful number, since it uses less digits than its factorization.

142032132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24056988 (or 24056979 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 142032132432 its reverse (234231230241), we get a palindrome (376263362673).

The spelling of 142032132432 in words is "one hundred forty-two billion, thirty-two million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 24056933 48113866 72170799 96227732 144341598 192455464 216512397 288683196 384910928 433024794 577366392 866049588 986334253 1154732784 1732099176 1972668506 2959002759 3464198352 3945337012 5918005518 7890674024 8877008277 11836011036 15781348048 17754016554 23672022072 35508033108 47344044144 71016066216 142032132432