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139984481025 = 3252249432
BaseRepresentation
bin1000001001011110111…
…0011010101100000001
3111101022202111102201100
42002113232122230001
54243142011343100
6144150305125013
713053642312324
oct2022756325401
9441282442640
10139984481025
1154404654544
1223168629769
131027b5ba37c
146abd54c7bb
1539946a8400
hex2097b9ab01

139984481025 has 27 divisors (see below), whose sum is σ = 250737811779. Its totient is φ = 74655396720.

The previous prime is 139984481003. The next prime is 139984481027. The reversal of 139984481025 is 520184489931.

It is a happy number.

The square root of 139984481025 is 374145.

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

139984481025 is a `hidden beast` number, since 1 + 3 + 9 + 98 + 448 + 102 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50394413169 + 89590067856 = 224487^2 + 299316^2 .

It is not a de Polignac number, because 139984481025 - 29 = 139984480513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (139984481027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5599704 + ... + 5624646.

Almost surely, 2139984481025 is an apocalyptic number.

139984481025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

139984481025 is the 374145-th square number.

139984481025 is the 187073-rd centered octagonal number.

It is an amenable number.

139984481025 is a deficient number, since it is larger than the sum of its proper divisors (110753330754).

139984481025 is an frugal number, since it uses more digits than its factorization.

139984481025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49902 (or 24951 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 139984481025 in words is "one hundred thirty-nine billion, nine hundred eighty-four million, four hundred eighty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 24943 74829 124715 224487 374145 623575 1122435 1870725 5612175 622153249 1866459747 3110766245 5599379241 9332298735 15553831225 27996896205 46661493675 139984481025