Search a number
-
+
400211112004 = 221152119319041
BaseRepresentation
bin1011101001011100111…
…00001111000001000100
31102021000101210222012221
411310232130033001010
523024113021041004
6503504321022124
740625414215624
oct5645634170104
91367011728187
10400211112004
11144801814a30
1265691a84944
132b9802b63a2
1415528238884
15a6251ea354
hex5d2e70f044

400211112004 has 48 divisors (see below), whose sum is σ = 765987026112. Its totient is φ = 181450880000.

The previous prime is 400211111981. The next prime is 400211112029.

It is a happy number.

400211112004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44261724 + ... + 44270764.

It is an arithmetic number, because the mean of its divisors is an integer number (15958063044).

Almost surely, 2400211112004 is an apocalyptic number.

400211112004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400211112004 is a deficient number, since it is larger than the sum of its proper divisors (365775914108).

400211112004 is a wasteful number, since it uses less digits than its factorization.

400211112004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11506 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 400211 and 112004, that added together give a palindrome (512215).

The spelling of 400211112004 in words is "four hundred billion, two hundred eleven million, one hundred twelve thousand, four".

Divisors: 1 2 4 11 22 44 521 1042 1931 2084 3862 5731 7724 9041 11462 18082 21241 22924 36164 42482 84964 99451 198902 397804 1006051 2012102 4024204 4710361 9420722 11066561 17458171 18841444 22133122 34916342 44266244 51813971 69832684 103627942 192039881 207255884 384079762 768159524 9095707091 18191414182 36382828364 100052778001 200105556002 400211112004