Search a number
-
+
140808810025 = 521322322512
BaseRepresentation
bin1000001100100011011…
…0111110111000101001
3111110110012121200112001
42003020312332320221
54301334023410100
6144404153251001
713113242065012
oct2031066767051
9443405550461
10140808810025
11547979a2084
1223358703a61
131038030ac00
146b5ac0c009
1539e1c38d6a
hex20c8dbee29

140808810025 has 81 divisors (see below), whose sum is σ = 198435350757. Its totient is φ = 99064680000.

The previous prime is 140808809951. The next prime is 140808810031. The reversal of 140808810025 is 520018808041.

It is a happy number.

The square root of 140808810025 is 375245.

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

140808810025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36293679081 + 104515130944 = 190509^2 + 323288^2 .

It is not a de Polignac number, because 140808810025 - 233 = 132218875433 is a prime.

It is a super-3 number, since 3×1408088100253 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 560991150 + ... + 560991400.

Almost surely, 2140808810025 is an apocalyptic number.

140808810025 is the 375245-th square number.

140808810025 is the 187623-rd centered octagonal number.

It is an amenable number.

140808810025 is a deficient number, since it is larger than the sum of its proper divisors (57626540732).

140808810025 is an equidigital number, since it uses as much as digits as its factorization.

140808810025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 140808810025 in words is "one hundred forty billion, eight hundred eight million, eight hundred ten thousand, twenty-five".

Divisors: 1 5 13 23 25 65 115 169 251 299 325 529 575 845 1255 1495 2645 3263 3887 4225 5773 6275 6877 7475 13225 16315 19435 28865 34385 42419 63001 75049 81575 89401 97175 132779 144325 171925 212095 315005 375245 447005 663895 819013 975637 1060475 1449023 1575025 1726127 1876225 2235025 3319475 4095065 4878185 7245115 8630635 10647169 18837299 20475325 22439651 24390925 33327529 36225575 43153175 53235845 94186495 112198255 166637645 244884887 266179225 433257877 470932475 560991275 833188225 1224424435 2166289385 5632352401 6122122175 10831446925 28161762005 140808810025