Search a number
-
+
142239214080 = 29365199383
BaseRepresentation
bin1000010001111000011…
…1100010101000000000
3111121010220011202000000
42010132013202220000
54312301214322310
6145202132000000
713163551241145
oct2043607425000
9447126152000
10142239214080
1155361367897
1223697760000
131054a773542
146c54b963cc
153a775d74c0
hex211e1e2a00

142239214080 has 560 divisors, whose sum is σ = 515238451200. Its totient is φ = 37641314304.

The previous prime is 142239214069. The next prime is 142239214129. The reversal of 142239214080 is 80412932241.

142239214080 is a `hidden beast` number, since 1 + 4 + 223 + 9 + 21 + 408 + 0 = 666.

It is a super-3 number, since 3×1422392140803 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 371381569 + ... + 371381951.

Almost surely, 2142239214080 is an apocalyptic number.

142239214080 is a gapful number since it is divisible by the number (10) 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 142239214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257619225600).

142239214080 is an abundant number, since it is smaller than the sum of its proper divisors (372999237120).

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

142239214080 is an frugal number, since it uses more digits than its factorization.

142239214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 142239214080 in words is "one hundred forty-two billion, two hundred thirty-nine million, two hundred fourteen thousand, eighty".