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142232177952 = 25327123132
BaseRepresentation
bin1000010001110110110…
…0101100110100100000
3111121010101221021020200
42010131230230310200
54312242414143302
6145201321105200
713163434364514
oct2043554546440
9447111837220
10142232177952
11553583a1507
1223695328200
131054917ba57
146c53c84144
153a76b9781c
hex211db2cd20

142232177952 has 162 divisors, whose sum is σ = 411564681801. Its totient is φ = 46593630720.

The previous prime is 142232177939. The next prime is 142232177959. The reversal of 142232177952 is 259771232241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

142232177952 is a `hidden beast` number, since 1 + 422 + 3 + 2 + 177 + 9 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82440191376 + 59791986576 = 287124^2 + 244524^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=266676.

Its product of digits (423360) is a multiple of the sum of its prime factors (784).

It is a junction number, because it is equal to n+sod(n) for n = 142232177898 and 142232177907.

It is not an unprimeable number, because it can be changed into a prime (142232177959) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 454415748 + ... + 454416060.

Almost surely, 2142232177952 is an apocalyptic number.

142232177952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142232177952

142232177952 is an abundant number, since it is smaller than the sum of its proper divisors (269332503849).

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

142232177952 is an frugal number, since it uses more digits than its factorization.

142232177952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 389 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 142232177952 in words is "one hundred forty-two billion, two hundred thirty-two million, one hundred seventy-seven thousand, nine hundred fifty-two".