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400314232242 = 23319419516337
BaseRepresentation
bin1011101001101001001…
…01100110110110110010
31102021021120212000121000
411310310211212312302
523024320420412432
6503522443142430
740631105555001
oct5646445466662
91367246760530
10400314232242
11144854a47771
1265700514a16
132b998780192
1415537bdcc38
15a62e2b957c
hex5d34966db2

400314232242 has 64 divisors (see below), whose sum is σ = 959246870400. Its totient is φ = 123331714560.

The previous prime is 400314232211. The next prime is 400314232243. The reversal of 400314232242 is 242232413004.

400314232242 is a `hidden beast` number, since 400 + 3 + 1 + 4 + 232 + 24 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400314232243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4716103 + ... + 4800234.

It is an arithmetic number, because the mean of its divisors is an integer number (14988232350).

Almost surely, 2400314232242 is an apocalyptic number.

400314232242 is an abundant number, since it is smaller than the sum of its proper divisors (558932638158).

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

400314232242 is a wasteful number, since it uses less digits than its factorization.

400314232242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516408 (or 9516402 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 400314232242 its reverse (242232413004), we get a palindrome (642546645246).

The spelling of 400314232242 in words is "four hundred billion, three hundred fourteen million, two hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 369 513 738 779 1026 1107 1558 2214 2337 4674 7011 14022 21033 42066 9516337 19032674 28549011 57098022 85647033 171294066 180810403 256941099 361620806 390169817 513882198 542431209 780339634 1084862418 1170509451 1627293627 2341018902 3254587254 3511528353 4881880881 7023056706 7413226523 9763761762 10534585059 14826453046 21069170118 22239679569 44479359138 66719038707 133438077414 200157116121 400314232242