Search a number
-
+
10140243652 = 22721110146567
BaseRepresentation
bin10010111000110011…
…11101011011000100
3222011200122202020201
421130121331123010
5131231400244102
64354112340244
7506166435400
oct113431753304
928150582221
1010140243652
1143339a3160
121b6bb44684
13c57a81696
146c2a2c100
153e5361987
hex25c67d6c4

10140243652 has 72 divisors (see below), whose sum is σ = 22742693568. Its totient is φ = 3911544000.

The previous prime is 10140243629. The next prime is 10140243661. The reversal of 10140243652 is 25634204101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10140243652.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194473 + ... + 241039.

It is an arithmetic number, because the mean of its divisors is an integer number (315870744).

Almost surely, 210140243652 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 10140243652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11371346784).

10140243652 is an abundant number, since it is smaller than the sum of its proper divisors (12602449916).

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

10140243652 is a wasteful number, since it uses less digits than its factorization.

10140243652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46697 (or 46688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10140243652 its reverse (25634204101), we get a palindrome (35774447753).

The spelling of 10140243652 in words is "ten billion, one hundred forty million, two hundred forty-three thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 101 154 196 202 308 404 539 707 1078 1111 1414 2156 2222 2828 4444 4949 7777 9898 15554 19796 31108 46567 54439 93134 108878 186268 217756 325969 512237 651938 1024474 1303876 2048948 2281783 3585659 4563566 4703267 7171318 9127132 9406534 14342636 18813068 25099613 32922869 50199226 51735937 65845738 100398452 103471874 131691476 206943748 230460083 362151559 460920166 724303118 921840332 1448606236 2535060913 5070121826 10140243652