Search a number
-
+
400013320053 = 38322966110613
BaseRepresentation
bin1011101001000101010…
…01101101111101110101
31102020111121122002200010
411310202221231331311
523023211402220203
6503432533410433
740620463055664
oct5644251557565
91366447562603
10400013320053
111447100aaa06
1265637799a19
132b94b323129
1415509c6cddb
15a612b7a303
hex5d22a6df75

400013320053 has 32 divisors (see below), whose sum is σ = 543005447040. Its totient is φ = 261890576640.

The previous prime is 400013320043. The next prime is 400013320067. The reversal of 400013320053 is 350023310004.

It is not a de Polignac number, because 400013320053 - 222 = 400009125749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400013320043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37685575 + ... + 37696187.

It is an arithmetic number, because the mean of its divisors is an integer number (16968920220).

Almost surely, 2400013320053 is an apocalyptic number.

It is an amenable number.

400013320053 is a deficient number, since it is larger than the sum of its proper divisors (142992126987).

400013320053 is a wasteful number, since it uses less digits than its factorization.

400013320053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11589.

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 400013320053 its reverse (350023310004), we get a palindrome (750036630057).

The spelling of 400013320053 in words is "four hundred billion, thirteen million, three hundred twenty thousand, fifty-three".

Divisors: 1 3 83 229 249 661 687 1983 10613 19007 31839 54863 57021 151369 164589 454107 880879 2430377 2642637 7015193 7291131 12563627 21045579 37690881 201721291 582261019 605163873 1606479197 1746783057 4819437591 133337773351 400013320053