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142232350624 = 25713711036679
BaseRepresentation
bin1000010001110110110…
…1010110111110100000
3111121010102021001002221
42010131231112332200
54312242440204444
6145201324520424
713163436014110
oct2043555267640
9447112231087
10142232350624
11553584aa211
12236953b0114
131054920c520
146c53ccb040
153a76bcda84
hex211db56fa0

142232350624 has 192 divisors, whose sum is σ = 352939991040. Its totient is φ = 54928419840.

The previous prime is 142232350607. The next prime is 142232350679. The reversal of 142232350624 is 426053232241.

142232350624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142232350624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21292117 + ... + 21298795.

It is an arithmetic number, because the mean of its divisors is an integer number (1838229120).

Almost surely, 2142232350624 is an apocalyptic number.

142232350624 is a gapful number since it is divisible by the number (14) 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 142232350624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176469995520).

142232350624 is an abundant number, since it is smaller than the sum of its proper divisors (210707640416).

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

142232350624 is a wasteful number, since it uses less digits than its factorization.

142232350624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 142232350624 its reverse (426053232241), we get a palindrome (568285582865).

The spelling of 142232350624 in words is "one hundred forty-two billion, two hundred thirty-two million, three hundred fifty thousand, six hundred twenty-four".