Search a number
-
+
142398879336 = 233472967107151
BaseRepresentation
bin1000010010011110100…
…0100111011001101000
3111121120000121120120000
42010213220213121220
54313113103114321
6145230034103000
713200530334420
oct2044750473150
9447500546500
10142398879336
115543350074a
122372111aa60
131057487781c
146c6c079480
153a86625826
hex2127a27668

142398879336 has 640 divisors, whose sum is σ = 486255052800. Its totient is φ = 38080627200.

The previous prime is 142398879323. The next prime is 142398879341. The reversal of 142398879336 is 633978893241.

142398879336 is a `hidden beast` number, since 1 + 423 + 98 + 8 + 7 + 93 + 36 = 666.

It is a super-2 number, since 2×1423988793362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 943038861 + ... + 943039011.

It is an arithmetic number, because the mean of its divisors is an integer number (759773520).

Almost surely, 2142398879336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142398879336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243127526400).

142398879336 is an abundant number, since it is smaller than the sum of its proper divisors (343856173464).

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

142398879336 is a wasteful number, since it uses less digits than its factorization.

142398879336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 142398879336 in words is "one hundred forty-two billion, three hundred ninety-eight million, eight hundred seventy-nine thousand, three hundred thirty-six".