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140126692225 = 521344432
BaseRepresentation
bin1000001010000000110…
…0111010001110000001
3111101200200002111210211
42002200030322032001
54243434413122400
6144212345154121
713060320142252
oct2024014721601
9441620074724
10140126692225
1154477956963
12231a818b941
13102a1bc0000
146ad43aab29
1539a1de9dba
hex20a033a381

140126692225 has 45 divisors (see below), whose sum is σ = 188662221503. Its totient is φ = 103244587680.

The previous prime is 140126692219. The next prime is 140126692231. The reversal of 140126692225 is 522296621041.

The square root of 140126692225 is 374335.

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

It is an interprime number because it is at equal distance from previous prime (140126692219) and next prime (140126692231).

It can be written as a sum of positive squares in 7 ways, for example, as 137485965681 + 2640726544 = 370791^2 + 51388^2 .

It is not a de Polignac number, because 140126692225 - 223 = 140118303617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 316312854 + ... + 316313296.

Almost surely, 2140126692225 is an apocalyptic number.

140126692225 is the 374335-th square number.

140126692225 is the 187168-th centered octagonal number.

It is an amenable number.

140126692225 is a deficient number, since it is larger than the sum of its proper divisors (48535529278).

140126692225 is an frugal number, since it uses more digits than its factorization.

140126692225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 140126692225 in words is "one hundred forty billion, one hundred twenty-six million, six hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 443 845 2197 2215 4225 5759 10985 11075 28561 28795 54925 74867 142805 143975 196249 374335 714025 973271 981245 1871675 2551237 4866355 4906225 12652523 12756185 24331775 33166081 63262615 63780925 165830405 316313075 431159053 829152025 2155795265 5605067689 10778976325 28025338445 140126692225