Search a number
-
+
142725422088 = 2338172972
BaseRepresentation
bin1000010011101100011…
…0010001110000001000
3111122101210001200000000
42010323012101300020
54314300202001323
6145322301043000
713211604033204
oct2047306216010
9448353050000
10142725422088
1155590864097
12237b2556460
13105c7409aa2
146c9d59bb04
153aa5128e43
hex213b191c08

142725422088 has 324 divisors, whose sum is σ = 430836372135. Its totient is φ = 44314988544.

The previous prime is 142725422053. The next prime is 142725422089. The reversal of 142725422088 is 880224527241.

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.

142725422088 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 2 + 542 + 20 + 88 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 104871050244 + 37854371844 = 323838^2 + 194562^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=267138.

It is a super-2 number, since 2×1427254220882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142725422089) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1471396056 + ... + 1471396152.

Almost surely, 2142725422088 is an apocalyptic number.

142725422088 is a gapful number since it is divisible by the number (18) 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 142725422088

142725422088 is an abundant number, since it is smaller than the sum of its proper divisors (288110950047).

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

142725422088 is an frugal number, since it uses more digits than its factorization.

142725422088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 142725422088 in words is "one hundred forty-two billion, seven hundred twenty-five million, four hundred twenty-two thousand, eighty-eight".