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2014795719225 = 3452315432
BaseRepresentation
bin11101010100011011001…
…011101110001000111001
321010121112120121021010000
4131110123023232020321
5231002300201003400
64141330120343213
7265364342020512
oct35243313561071
97117476537100
102014795719225
11707519726713
12286593014b09
13117cc0987813
146d7338d9a09
1537621dde600
hex1d51b2ee239

2014795719225 has 45 divisors (see below), whose sum is σ = 3732216466143. Its totient is φ = 1074523650480.

The previous prime is 2014795719193. The next prime is 2014795719241. The reversal of 2014795719225 is 5229175974102.

The square root of 2014795719225 is 1419435.

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

2014795719225 is a `hidden beast` number, since 2 + 0 + 1 + 47 + 9 + 571 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 725326458921 + 1289469260304 = 851661^2 + 1135548^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2014795719225 - 25 = 2014795719193 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63858804 + ... + 63890346.

Almost surely, 22014795719225 is an apocalyptic number.

2014795719225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2014795719225 is the 1419435-th square number.

2014795719225 is the 709718-th centered octagonal number.

It is an amenable number.

2014795719225 is a deficient number, since it is larger than the sum of its proper divisors (1717420746918).

2014795719225 is an frugal number, since it uses more digits than its factorization.

2014795719225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63108 (or 31551 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 2014795719225 in words is "two trillion, fourteen billion, seven hundred ninety-five million, seven hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 31543 94629 157715 283887 473145 788575 851661 1419435 2365725 2554983 4258305 7097175 12774915 21291525 63874575 994960849 2984882547 4974804245 8954647641 14924412735 24874021225 26863942923 44773238205 74622063675 80591828769 134319714615 223866191025 402959143845 671598573075 2014795719225