Search a number
-
+
14751317025 = 345226992
BaseRepresentation
bin11011011110011111…
…10011110000100001
31102002001012112210000
431233033303300201
5220202314121100
610435431530213
71031360061114
oct155717636041
942061175700
1014751317025
11628a8088a5
122a38229969
131511177c73
149dd1ac57b
155b5090900
hex36f3f3c21

14751317025 has 45 divisors (see below), whose sum is σ = 27334666051. Its totient is φ = 7864454160.

The previous prime is 14751317003. The next prime is 14751317069. The reversal of 14751317025 is 52071315741.

The square root of 14751317025 is 121455.

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

14751317025 is a `hidden beast` number, since 1 + 475 + 13 + 170 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5310474129 + 9440842896 = 72873^2 + 97164^2 .

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

It is not a de Polignac number, because 14751317025 - 29 = 14751316513 is a prime.

It is a Duffinian number.

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, 5464126 + ... + 5466824.

Almost surely, 214751317025 is an apocalyptic number.

14751317025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14751317025 is the 121455-th square number.

14751317025 is the 60728-th centered octagonal number.

It is an amenable number.

14751317025 is a deficient number, since it is larger than the sum of its proper divisors (12583349026).

14751317025 is an frugal number, since it uses more digits than its factorization.

14751317025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Multiplying 14751317025 by its sum of digits (36), we get a square (531047412900 = 7287302).

It can be divided in two parts, 14751 and 317025, that added together give a 4-th power (331776 = 244).

The spelling of 14751317025 in words is "fourteen billion, seven hundred fifty-one million, three hundred seventeen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2699 8097 13495 24291 40485 67475 72873 121455 202425 218619 364365 607275 1093095 1821825 5465475 7284601 21853803 36423005 65561409 109269015 182115025 196684227 327807045 546345075 590052681 983421135 1639035225 2950263405 4917105675 14751317025