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142913966832 = 2432721319431907
BaseRepresentation
bin1000010100011001010…
…1100001001011110000
3111122212220211201202200
42011012111201023300
54320141433414312
6145353114143200
713216353450300
oct2050625411360
9448786751680
10142913966832
115567823259a
1223845721b00
13106274b3020
146cba63b600
153ab696e0dc
hex21465612f0

142913966832 has 720 divisors, whose sum is σ = 539969189760. Its totient is φ = 34859123712.

The previous prime is 142913966801. The next prime is 142913966879. The reversal of 142913966832 is 238669319241.

142913966832 is a `hidden beast` number, since 1 + 429 + 139 + 6 + 6 + 83 + 2 = 666.

It is a super-2 number, since 2×1429139668322 (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 143 ways as a sum of consecutive naturals, for example, 74940823 + ... + 74942729.

It is an arithmetic number, because the mean of its divisors is an integer number (749957208).

Almost surely, 2142913966832 is an apocalyptic number.

142913966832 is a gapful number since it is divisible by the number (12) 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 142913966832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269984594880).

142913966832 is an abundant number, since it is smaller than the sum of its proper divisors (397055222928).

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

142913966832 is a wasteful number, since it uses less digits than its factorization.

142913966832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1994 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 142913966832 in words is "one hundred forty-two billion, nine hundred thirteen million, nine hundred sixty-six thousand, eight hundred thirty-two".