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231431123440 = 245112351111863
BaseRepresentation
bin1101011110001001011…
…1101011000111110000
3211010100211111012011101
43113202113223013300
512242432331422230
6254152404054144
722502036043256
oct3274227530760
9733324435141
10231431123440
118a170921480
1238a29994354
1318a9303c17a
14b2b66205d6
156047a3eaca
hex35e25eb1f0

231431123440 has 80 divisors (see below), whose sum is σ = 587248413696. Its totient is φ = 84120224000.

The previous prime is 231431123431. The next prime is 231431123471. The reversal of 231431123440 is 44321134132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 231431123399 and 231431123408.

It is a congruent number.

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, 2012949 + ... + 2124811.

Almost surely, 2231431123440 is an apocalyptic number.

231431123440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231431123440 is an abundant number, since it is smaller than the sum of its proper divisors (355817290256).

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

231431123440 is a wasteful number, since it uses less digits than its factorization.

231431123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114238 (or 114232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 231431123440 its reverse (44321134132), we get a palindrome (275752257572).

The spelling of 231431123440 in words is "two hundred thirty-one billion, four hundred thirty-one million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2351 4702 9404 11755 18808 23510 25861 37616 47020 51722 94040 103444 111863 129305 188080 206888 223726 258610 413776 447452 517220 559315 894904 1034440 1118630 1230493 1789808 2068880 2237260 2460986 4474520 4921972 6152465 8949040 9843944 12304930 19687888 24609860 49219720 98439440 262989913 525979826 1051959652 1314949565 2103919304 2629899130 2892889043 4207838608 5259798260 5785778086 10519596520 11571556172 14464445215 21039193040 23143112344 28928890430 46286224688 57857780860 115715561720 231431123440