Search a number
-
+
14347468145124 = 22322651571503037
BaseRepresentation
bin1101000011001000011110…
…1111100000000111100100
31212210121022201112121011200
43100302013233200013210
53340032103321120444
650303045203202500
73010366431014532
oct320620757400744
955717281477150
1014347468145124
1146317aa803994
121738776076430
13800c6411ba9a
143785c795b152
1519d325a32969
hexd0c87be01e4

14347468145124 has 36 divisors (see below), whose sum is σ = 36267372050364. Its totient is φ = 4782468163392.

The previous prime is 14347468145093. The next prime is 14347468145147. The reversal of 14347468145124 is 42154186474341.

14347468145124 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 7 + 46 + 81 + 4 + 512 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13780206108900 + 567262036224 = 3712170^2 + 753168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8794134 + ... + 10297170.

It is an arithmetic number, because the mean of its divisors is an integer number (1007427001399).

Almost surely, 214347468145124 is an apocalyptic number.

It is an amenable number.

14347468145124 is an abundant number, since it is smaller than the sum of its proper divisors (21919903905240).

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

14347468145124 is a wasteful number, since it uses less digits than its factorization.

14347468145124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768204 (or 1768199 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 14347468145124 in words is "fourteen trillion, three hundred forty-seven billion, four hundred sixty-eight million, one hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 265157 530314 795471 1060628 1503037 1590942 2386413 3006074 3181884 4509111 4772826 6012148 9018222 9545652 13527333 18036444 27054666 54109332 398540781809 797081563618 1195622345427 1594163127236 2391244690854 3586867036281 4782489381708 7173734072562 14347468145124