Search a number
-
+
40400240000202 = 23241222124647849
BaseRepresentation
bin10010010111110011010011…
…11101000011110011001010
312022001020002012002122200200
421023321221331003303022
520243404142420001302
6221531340344313030
711336551415650545
oct1113715175036312
9168036065078620
1040400240000202
1111966711280145
124645a06772776
131970959856a54
149d954c4b385c
154a0d8272181c
hex24be69f43cca

40400240000202 has 48 divisors (see below), whose sum is σ = 89709202182600. Its totient is φ = 13132373414400.

The previous prime is 40400240000123. The next prime is 40400240000207. The reversal of 40400240000202 is 20200004200404.

40400240000202 is a `hidden beast` number, since 4 + 0 + 400 + 240 + 0 + 0 + 0 + 20 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23994410731281 + 16405829268921 = 4898409^2 + 4050411^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40400240000207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10684827 + ... + 13963022.

Almost surely, 240400240000202 is an apocalyptic number.

40400240000202 is an abundant number, since it is smaller than the sum of its proper divisors (49308962182398).

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

40400240000202 is a wasteful number, since it uses less digits than its factorization.

40400240000202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24650119 (or 24650116 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40400240000202 its reverse (20200004200404), we get a palindrome (60600244200606).

The spelling of 40400240000202 in words is "forty trillion, four hundred billion, two hundred forty million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 2221 4442 6663 13326 19989 39978 91061 182122 273183 546366 819549 1639098 24647849 49295698 73943547 147887094 221830641 443661282 1010561809 2021123618 3031685427 6063370854 9095056281 18190112562 54742872629 109485745258 164228617887 328457235774 492685853661 985371707322 2244457777789 4488915555578 6733373333367 13466746666734 20200120000101 40400240000202