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142942842242496 = 263237157227188197
BaseRepresentation
bin100000100000000101111001…
…010101011100010111000000
3200202010012110110002220000200
4200200011321111130113000
5122213433420103224441
61224003011333245200
742052164612441552
oct4040057125342700
9622105413086020
10142942842242496
114160079aa2a7aa
1214047344793800
13619b5b55b0aca
142742682dcd4d2
15117d410cad7b6
hex82017955c5c0

142942842242496 has 336 divisors, whose sum is σ = 425341352450976. Its totient is φ = 45861383872512.

The previous prime is 142942842242491. The next prime is 142942842242503. The reversal of 142942842242496 is 694242248249241.

142942842242496 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 4 + 2 + 84 + 22 + 42 + 496 = 666.

It is a super-2 number, since 2×1429428422424962 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142942842242491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759444270 + ... + 759632466.

Almost surely, 2142942842242496 is an apocalyptic number.

142942842242496 is a gapful number since it is divisible by the number (16) 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 142942842242496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212670676225488).

142942842242496 is an abundant number, since it is smaller than the sum of its proper divisors (282398510208480).

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

142942842242496 is a wasteful number, since it uses less digits than its factorization.

142942842242496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188636 (or 188623 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 142942842242496 in words is "one hundred forty-two trillion, nine hundred forty-two billion, eight hundred forty-two million, two hundred forty-two thousand, four hundred ninety-six".