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10014287040 = 263356119001
BaseRepresentation
bin10010101001110010…
…11110010011000000
3221211220122111021000
421110321132103000
5131002124141130
64333412532000
7503110015062
oct112471362300
927756574230
1010014287040
11427989308a
121b35921000
13c37950444
146b0001732
153d9281260
hex254e5e4c0

10014287040 has 224 divisors, whose sum is σ = 35909219520. Its totient is φ = 2626560000.

The previous prime is 10014287029. The next prime is 10014287083. The reversal of 10014287040 is 4078241001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10014286995 and 10014287013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517540 + ... + 536540.

Almost surely, 210014287040 is an apocalyptic number.

10014287040 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 10014287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954609760).

10014287040 is an abundant number, since it is smaller than the sum of its proper divisors (25894932480).

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

10014287040 is a wasteful number, since it uses less digits than its factorization.

10014287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19088 (or 19072 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10014287040 in words is "ten billion, fourteen million, two hundred eighty-seven thousand, forty".