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142594981100 = 2252111331674801
BaseRepresentation
bin1000010011001101010…
…0101011110011101100
3111122001200121120121022
42010303110223303230
54314013303343400
6145301321153312
713205431224605
oct2046324536354
9448050546538
10142594981100
1155524170920
122377692b838
13105a6398680
146c8a124dac
153a9895eb85
hex213352bcec

142594981100 has 288 divisors, whose sum is σ = 380934285312. Its totient is φ = 45619200000.

The previous prime is 142594981099. The next prime is 142594981141. The reversal of 142594981100 is 1189495241.

142594981100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 95 ways as a sum of consecutive naturals, for example, 29698700 + ... + 29703500.

Almost surely, 2142594981100 is an apocalyptic number.

142594981100 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 142594981100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190467142656).

142594981100 is an abundant number, since it is smaller than the sum of its proper divisors (238339304212).

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

142594981100 is a wasteful number, since it uses less digits than its factorization.

142594981100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 142594981100 in words is "one hundred forty-two billion, five hundred ninety-four million, nine hundred eighty-one thousand, one hundred".