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140263335225 = 325213172820781
BaseRepresentation
bin1000001010100001011…
…0001010010100111001
3111102001012012200202200
42002220112022110321
54244224403211400
6144234110020413
713063566451326
oct2025026122471
9442035180680
10140263335225
1154537aa5862
1223225aa7709
13102c42c3360
146b085b9b4d
1539adddbb00
hex20a858a539

140263335225 has 72 divisors (see below), whose sum is σ = 286467336792. Its totient is φ = 64990771200.

The previous prime is 140263335221. The next prime is 140263335253. The reversal of 140263335225 is 522533362041.

140263335225 is a `hidden beast` number, since 1 + 40 + 2 + 63 + 33 + 522 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 34320897081 + 105942438144 = 185259^2 + 325488^2 .

It is not a de Polignac number, because 140263335225 - 22 = 140263335221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 140263335225.

It is not an unprimeable number, because it can be changed into a prime (140263335221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360666 + ... + 1460115.

It is an arithmetic number, because the mean of its divisors is an integer number (3978713011).

Almost surely, 2140263335225 is an apocalyptic number.

140263335225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

140263335225 is an abundant number, since it is smaller than the sum of its proper divisors (146204001567).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140263335225 is a wasteful number, since it uses less digits than its factorization.

140263335225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820827 (or 2820819 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 140263335225 its reverse (522533362041), we get a palindrome (662796697266).

The spelling of 140263335225 in words is "one hundred forty billion, two hundred sixty-three million, three hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 221 225 255 325 425 585 663 765 975 1105 1275 1989 2925 3315 3825 5525 9945 16575 49725 2820781 8462343 14103905 25387029 36670153 42311715 47953277 70519525 110010459 126935145 143859831 183350765 211558575 239766385 330031377 431579493 550052295 623392601 634675725 719299155 916753825 1198831925 1650156885 1870177803 2157897465 2750261475 3116963005 3596495775 5610533409 8250784425 9350889015 10789487325 15584815025 28052667045 46754445075 140263335225