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16231142340 = 22335712233511
BaseRepresentation
bin11110001110111001…
…11001001111000100
31112220011202110111000
433013130321033010
5231220133023330
611242333413300
71113136301460
oct170734711704
945804673430
1016231142340
11697a069526
12318b93a230
1316b892544a
14add93d4a0
1564ee52560
hex3c77393c4

16231142340 has 192 divisors, whose sum is σ = 57774366720. Its totient is φ = 3705886080.

The previous prime is 16231142339. The next prime is 16231142363. The reversal of 16231142340 is 4324113261.

It is a happy number.

16231142340 is a `hidden beast` number, since 1 + 6 + 2 + 311 + 4 + 2 + 340 = 666.

It is a super-2 number, since 2×162311423402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 4621185 + ... + 4624695.

It is an arithmetic number, because the mean of its divisors is an integer number (300908160).

Almost surely, 216231142340 is an apocalyptic number.

16231142340 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 16231142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28887183360).

16231142340 is an abundant number, since it is smaller than the sum of its proper divisors (41543224380).

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

16231142340 is a wasteful number, since it uses less digits than its factorization.

16231142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16231142340 in words is "sixteen billion, two hundred thirty-one million, one hundred forty-two thousand, three hundred forty".