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400443101253 = 32133422590609
BaseRepresentation
bin1011101001111000100…
…01001101000001000101
31102021121120100020122100
411310330101031001011
523030101413220003
6503543325222313
740634232125256
oct5647421150105
91367546306570
10400443101253
11144910766988
1265737701999
132b9b9390c30
141554ad86b2d
15a63a772ba3
hex5d3c44d045

400443101253 has 12 divisors (see below), whose sum is σ = 622911491020. Its totient is φ = 246426523776.

The previous prime is 400443101251. The next prime is 400443101293. The reversal of 400443101253 is 352101344004.

It is a happy number.

400443101253 is a `hidden beast` number, since 400 + 4 + 4 + 3 + 1 + 0 + 1 + 253 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122399920449 + 278043180804 = 349857^2 + 527298^2 .

It is not a de Polignac number, because 400443101253 - 21 = 400443101251 is a prime.

It is a super-2 number, since 2×4004431012532 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400443101251) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1711295188 + ... + 1711295421.

Almost surely, 2400443101253 is an apocalyptic number.

It is an amenable number.

400443101253 is a deficient number, since it is larger than the sum of its proper divisors (222468389767).

400443101253 is a wasteful number, since it uses less digits than its factorization.

400443101253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422590628 (or 3422590625 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 400443101253 its reverse (352101344004), we get a palindrome (752544445257).

The spelling of 400443101253 in words is "four hundred billion, four hundred forty-three million, one hundred one thousand, two hundred fifty-three".

Divisors: 1 3 9 13 39 117 3422590609 10267771827 30803315481 44493677917 133481033751 400443101253