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142435604136 = 23373191138059
BaseRepresentation
bin1000010010100111010…
…0101101011010101000
3111121122120201101111210
42010221310231122220
54313202003313021
6145233425153120
713201454442000
oct2045164553250
9447576641453
10142435604136
1155452204621
122373148b7a0
131057c365687
146c72cb9000
153a8997be76
hex2129d2d6a8

142435604136 has 256 divisors, whose sum is σ = 441043200000. Its totient is φ = 38208070656.

The previous prime is 142435604131. The next prime is 142435604141. The reversal of 142435604136 is 631406534241.

It is an interprime number because it is at equal distance from previous prime (142435604131) and next prime (142435604141).

It is a junction number, because it is equal to n+sod(n) for n = 142435604094 and 142435604103.

It is not an unprimeable number, because it can be changed into a prime (142435604131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17670075 + ... + 17678133.

It is an arithmetic number, because the mean of its divisors is an integer number (1722825000).

Almost surely, 2142435604136 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 142435604136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521600000).

142435604136 is an abundant number, since it is smaller than the sum of its proper divisors (298607595864).

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

142435604136 is a wasteful number, since it uses less digits than its factorization.

142435604136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 142435604136 in words is "one hundred forty-two billion, four hundred thirty-five million, six hundred four thousand, one hundred thirty-six".