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142594981144 = 23731197113431
BaseRepresentation
bin1000010011001101010…
…0101011110100011000
3111122001200121120122221
42010303110223310120
54314013303344034
6145301321153424
713205431225000
oct2046324536430
9448050546587
10142594981144
1155524170960
122377692b874
13105a63986b5
146c8a125000
153a9895ebb4
hex213352bd18

142594981144 has 256 divisors, whose sum is σ = 347493888000. Its totient is φ = 54370713600.

The previous prime is 142594981141. The next prime is 142594981201. The reversal of 142594981144 is 441189495241.

It is a junction number, because it is equal to n+sod(n) for n = 142594981091 and 142594981100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142594981141) 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, 330846609 + ... + 330847039.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398000).

Almost surely, 2142594981144 is an apocalyptic number.

142594981144 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 142594981144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944000).

142594981144 is an abundant number, since it is smaller than the sum of its proper divisors (204898906856).

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

142594981144 is a wasteful number, since it uses less digits than its factorization.

142594981144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 142594981144 in words is "one hundred forty-two billion, five hundred ninety-four million, nine hundred eighty-one thousand, one hundred forty-four".