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10141104384 = 2832171913627
BaseRepresentation
bin10010111000111010…
…01111100100000000
3222011202021110221200
421130131033210000
5131232110320014
64354143021200
7506206651665
oct113435174400
928152243850
1010141104384
114334430904
121b7029a800
13c57cc33a8
146c2bb3a6c
153e5481a09
hex25c74f900

10141104384 has 216 divisors, whose sum is σ = 32591089440. Its totient is φ = 3013853184.

The previous prime is 10141104383. The next prime is 10141104397. The reversal of 10141104384 is 48340114101.

It is not an unprimeable number, because it can be changed into a prime (10141104383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737379 + ... + 751005.

Almost surely, 210141104384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295544720).

10141104384 is an abundant number, since it is smaller than the sum of its proper divisors (22449985056).

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

10141104384 is a wasteful number, since it uses less digits than its factorization.

10141104384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13685 (or 13668 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10141104384 its reverse (48340114101), we get a palindrome (58481218485).

The spelling of 10141104384 in words is "ten billion, one hundred forty-one million, one hundred four thousand, three hundred eighty-four".