Search a number
-
+
240200254350153 = 3291732909508029
BaseRepresentation
bin110110100111010111111010…
…110101011110001101001001
31011111110220211201110002012100
4312213113322311132031021
5222440420110103201103
62210510250135304013
7101410616136306066
oct6647277265361511
91144426751402170
10240200254350153
116a5983a0633659
1222b3450321b009
13a404a2c77c256
144345a7bcadc6d
151cb825e7235a3
hexda75fad5e349

240200254350153 has 12 divisors (see below), whose sum is σ = 346993746673860. Its totient is φ = 160116045796896.

The previous prime is 240200254350083. The next prime is 240200254350163. The reversal of 240200254350153 is 351053452002042.

240200254350153 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 0 + 0 + 254 + 350 + 1 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5625207549504 + 234575046800649 = 2371752^2 + 15315843^2 .

It is not a de Polignac number, because 240200254350153 - 210 = 240200254349129 is a prime.

It is a super-2 number, since 2×2402002543501532 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240200254350163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1454671458 + ... + 1454836571.

It is an arithmetic number, because the mean of its divisors is an integer number (28916145556155).

Almost surely, 2240200254350153 is an apocalyptic number.

It is an amenable number.

240200254350153 is a deficient number, since it is larger than the sum of its proper divisors (106793492323707).

240200254350153 is a wasteful number, since it uses less digits than its factorization.

240200254350153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909517208 (or 2909517205 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 240200254350153 in words is "two hundred forty trillion, two hundred billion, two hundred fifty-four million, three hundred fifty thousand, one hundred fifty-three".

Divisors: 1 3 9 9173 27519 82557 2909508029 8728524087 26185572261 26688917150017 80066751450051 240200254350153