Search a number
-
+
14461505536 = 21218792
BaseRepresentation
bin11010111011111100…
…10001000000000000
31101022211212121011011
431131332101000000
5214104121134121
610351000130304
71021240524502
oct153576210000
941284777134
1014461505536
116151163175
122977166994
13149610678a
149b28cbd72
155998e57e1
hex35df91000

14461505536 has 39 divisors (see below), whose sum is σ = 28934879511. Its totient is φ = 7226904576.

The previous prime is 14461505533. The next prime is 14461505543. The reversal of 14461505536 is 63550516441.

It is a happy number.

The square root of 14461505536 is 120256.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14461505533) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7695445 + ... + 7697323.

Almost surely, 214461505536 is an apocalyptic number.

14461505536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14461505536 is the 120256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14461505536

14461505536 is an abundant number, since it is smaller than the sum of its proper divisors (14473373975).

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

14461505536 is an frugal number, since it uses more digits than its factorization.

14461505536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 14461505536 in words is "fourteen billion, four hundred sixty-one million, five hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1879 2048 3758 4096 7516 15032 30064 60128 120256 240512 481024 962048 1924096 3530641 3848192 7061282 7696384 14122564 28245128 56490256 112980512 225961024 451922048 903844096 1807688192 3615376384 7230752768 14461505536