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10140024704 = 27437325237
BaseRepresentation
bin10010111000110010…
…00111111110000000
3222011200020121220112
421130121013332000
5131231321242304
64354103530452
7506164534145
oct113431077600
928150217815
1010140024704
114333863707
121b6ba59a28
13c57a05b24
146c29b23cc
153e531bb6e
hex25c647f80

10140024704 has 64 divisors (see below), whose sum is σ = 20954606640. Its totient is φ = 4884074496.

The previous prime is 10140024703. The next prime is 10140024721. The reversal of 10140024704 is 40742004101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10140024704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140024703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389174 + ... + 414410.

Almost surely, 210140024704 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 10140024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10477303320).

10140024704 is an abundant number, since it is smaller than the sum of its proper divisors (10814581936).

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

10140024704 is an equidigital number, since it uses as much as digits as its factorization.

10140024704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25367 (or 25355 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 10140024704 its reverse (40742004101), we get a palindrome (50882028805).

The spelling of 10140024704 in words is "ten billion, one hundred forty million, twenty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 43 64 73 86 128 146 172 292 344 584 688 1168 1376 2336 2752 3139 4672 5504 6278 9344 12556 25112 25237 50224 50474 100448 100948 200896 201896 401792 403792 807584 1085191 1615168 1842301 2170382 3230336 3684602 4340764 7369204 8681528 14738408 17363056 29476816 34726112 58953632 69452224 79218943 117907264 138904448 158437886 235814528 316875772 633751544 1267503088 2535006176 5070012352 10140024704