Search a number
-
+
234664040287504 = 24412934072
BaseRepresentation
bin110101010110110011111010…
…110000110100110100010000
31010202212122220102222020202001
4311112303322300310310100
5221224213423303200004
62151031101042403344
7100266626451232552
oct6526637260646420
91122778812866661
10234664040287504
1168853508077403
122239b568360554
13a0c295496a2a9
1441d3b2b8874d2
151c1e23be761a4
hexd56cfac34d10

234664040287504 has 45 divisors (see below), whose sum is σ = 466026344937541. Its totient is φ = 114469038055040.

The previous prime is 234664040287493. The next prime is 234664040287561. The reversal of 234664040287504 is 405782040466432.

It is a happy number.

The square root of 234664040287504 is 15318748.

It is a perfect power (a square), and thus also a powerful number.

234664040287504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11307428473104 + 223356611814400 = 3362652^2 + 14945120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2512227969 + ... + 2512321375.

Almost surely, 2234664040287504 is an apocalyptic number.

234664040287504 is the 15318748-th square number.

It is an amenable number.

234664040287504 is a deficient number, since it is larger than the sum of its proper divisors (231362304650037).

234664040287504 is an frugal number, since it uses more digits than its factorization.

234664040287504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186904 (or 93450 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 55.

The spelling of 234664040287504 in words is "two hundred thirty-four trillion, six hundred sixty-four billion, forty million, two hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 13448 26896 93407 186814 373628 747256 1494512 3829687 7659374 15318748 30637496 61274992 157017167 314034334 628068668 1256137336 2512274672 8724867649 17449735298 34899470596 69798941192 139597882384 357719573609 715439147218 1430878294436 2861756588872 5723513177744 14666502517969 29333005035938 58666010071876 117332020143752 234664040287504