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140479662960 = 24335713714691
BaseRepresentation
bin1000001011010100111…
…1011000101101110000
3111102121021021021122000
42002311033120231300
54300200243203320
6144311354414000
713102134301410
oct2026517305560
9442537237560
10140479662960
115463912000a
1223286431300
131032a076430
146b2920c640
1539c2dbdc90
hex20b53d8b70

140479662960 has 320 divisors, whose sum is σ = 595538549760. Its totient is φ = 29639623680.

The previous prime is 140479662907. The next prime is 140479662989. The reversal of 140479662960 is 69266974041.

It is a happy number.

140479662960 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 7 + 9 + 6 + 629 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 140479662897 and 140479662906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160786 + ... + 553905.

It is an arithmetic number, because the mean of its divisors is an integer number (1861057968).

Almost surely, 2140479662960 is an apocalyptic number.

140479662960 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 140479662960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297769274880).

140479662960 is an abundant number, since it is smaller than the sum of its proper divisors (455058886800).

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

140479662960 is a wasteful number, since it uses less digits than its factorization.

140479662960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714733 (or 714721 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 140479662960 in words is "one hundred forty billion, four hundred seventy-nine million, six hundred sixty-two thousand, nine hundred sixty".