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142122400040 = 2353553060001
BaseRepresentation
bin1000010001011100100…
…1111011100100101000
3111120211202100222021002
42010113021323210220
54312031313300130
6145142400134132
713160632316345
oct2042711734450
9446752328232
10142122400040
1155301431765
1223664607348
131052c4c37ca
146c434697cc
153a6c210b45
hex211727b928

142122400040 has 16 divisors (see below), whose sum is σ = 319775400180. Its totient is φ = 56848960000.

The previous prime is 142122400033. The next prime is 142122400067. The reversal of 142122400040 is 40004221241.

It can be written as a sum of positive squares in 2 ways, for example, as 141823040836 + 299359204 = 376594^2 + 17302^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142122399985 and 142122400021.

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 3 ways as a sum of consecutive naturals, for example, 1776529961 + ... + 1776530040.

Almost surely, 2142122400040 is an apocalyptic number.

142122400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142122400040 is an abundant number, since it is smaller than the sum of its proper divisors (177653000140).

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

142122400040 is a wasteful number, since it uses less digits than its factorization.

142122400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553060012 (or 3553060008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142122400040 its reverse (40004221241), we get a palindrome (182126621281).

The spelling of 142122400040 in words is "one hundred forty-two billion, one hundred twenty-two million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3553060001 7106120002 14212240004 17765300005 28424480008 35530600010 71061200020 142122400040