Search a number
-
+
400204144131 = 3111731103322277
BaseRepresentation
bin1011101001011100000…
…01101001111000000011
31102020222220200222002120
411310232001221320003
523024104230103011
6503503511415323
740625301045261
oct5645601517003
91366886628076
10400204144131
111447a8895960
126568b684543
132b97ba1699c
1415527343431
15a6247c0a06
hex5d2e069e03

400204144131 has 64 divisors (see below), whose sum is σ = 636884176896. Its totient is φ = 220692787200.

The previous prime is 400204144079. The next prime is 400204144141. The reversal of 400204144131 is 131441402004.

It is not a de Polignac number, because 400204144131 - 214 = 400204127747 is a prime.

It is a super-2 number, since 2×4002041441312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400204144141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17953765 + ... + 17976041.

It is an arithmetic number, because the mean of its divisors is an integer number (9951315264).

Almost surely, 2400204144131 is an apocalyptic number.

400204144131 is a deficient number, since it is larger than the sum of its proper divisors (236680032765).

400204144131 is a wasteful number, since it uses less digits than its factorization.

400204144131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23372.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 400204144131 its reverse (131441402004), we get a palindrome (531645546135).

The spelling of 400204144131 in words is "four hundred billion, two hundred four million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 17 31 33 51 93 187 341 527 561 1023 1033 1581 3099 5797 11363 17391 17561 22277 32023 34089 52683 66831 96069 193171 245047 352253 378709 544391 579513 690587 735141 1056759 1136127 1633173 2071761 4165799 5988301 7596457 11739979 12497397 17964903 22789371 23012141 35219937 69036423 129139769 253133551 387419307 391206397 713376371 759400653 1173619191 2140129113 4303270367 7847140081 12127398307 12909811101 23541420243 36382194921 133401381377 400204144131