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142199233488 = 243213312938363
BaseRepresentation
bin1000010001101110111…
…1000001101111010000
3111121001002221111221100
42010123233001233100
54312211000432423
6145154143024400
713162554353514
oct2043357015720
9447032844840
10142199233488
115534083a884
122368629b100
13105423b57a0
146c4d74a144
153a73d3b343
hex211bbc1bd0

142199233488 has 240 divisors, whose sum is σ = 443960584704. Its totient is φ = 42192645120.

The previous prime is 142199233367. The next prime is 142199233511. The reversal of 142199233488 is 884332991241.

142199233488 is a `hidden beast` number, since 1 + 4 + 219 + 92 + 334 + 8 + 8 = 666.

It is a super-2 number, since 2×1421992334882 (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16999195 + ... + 17007557.

Almost surely, 2142199233488 is an apocalyptic number.

142199233488 is a gapful number since it is divisible by the number (18) 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 142199233488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221980292352).

142199233488 is an abundant number, since it is smaller than the sum of its proper divisors (301761351216).

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

142199233488 is a wasteful number, since it uses less digits than its factorization.

142199233488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8705 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 142199233488 in words is "one hundred forty-two billion, one hundred ninety-nine million, two hundred thirty-three thousand, four hundred eighty-eight".