Search a number
-
+
12400302440 = 235667346457
BaseRepresentation
bin10111000110001110…
…11001100101101000
31012000012100122001202
423203013121211220
5200343434134230
65410245303332
7616201555151
oct134307314550
935005318052
1012400302440
115293713839
1224a0a04b48
131228080986
14858c60928
154c8993a45
hex2e31d9968

12400302440 has 32 divisors (see below), whose sum is σ = 27905462280. Its totient is φ = 4959270912.

The previous prime is 12400302391. The next prime is 12400302491. The reversal of 12400302440 is 4420300421.

12400302440 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 8745616324 + 3654686116 = 93518^2 + 60454^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 243692 + ... + 290148.

Almost surely, 212400302440 is an apocalyptic number.

12400302440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12400302440 is an abundant number, since it is smaller than the sum of its proper divisors (15505159840).

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

12400302440 is a wasteful number, since it uses less digits than its factorization.

12400302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53141 (or 53137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12400302440 its reverse (4420300421), we get a palindrome (16820602861).

The spelling of 12400302440 in words is "twelve billion, four hundred million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6673 13346 26692 33365 46457 53384 66730 92914 133460 185828 232285 266920 371656 464570 929140 1858280 310007561 620015122 1240030244 1550037805 2480060488 3100075610 6200151220 12400302440