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114373431 = 3313033251
BaseRepresentation
bin1101101000100…
…11001100110111
321222012202212000
412310103030313
5213234422211
615203230343
72556105144
oct664231467
9258182760
10114373431
11596194a7
12323783b3
131a906bb3
14112933cb
15a093656
hex6d13337

114373431 has 16 divisors (see below), whose sum is σ = 169624320. Its totient is φ = 76167000.

The previous prime is 114373423. The next prime is 114373439. The reversal of 114373431 is 134373411.

It is an interprime number because it is at equal distance from previous prime (114373423) and next prime (114373439).

It is not a de Polignac number, because 114373431 - 23 = 114373423 is a prime.

It is a super-2 number, since 2×1143734312 = 26162563437423522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 114373395 and 114373404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114373439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33556 + ... + 36806.

It is an arithmetic number, because the mean of its divisors is an integer number (10601520).

Almost surely, 2114373431 is an apocalyptic number.

114373431 is a deficient number, since it is larger than the sum of its proper divisors (55250889).

114373431 is a wasteful number, since it uses less digits than its factorization.

114373431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4557 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 114373431 is about 10694.5514632452. The cubic root of 114373431 is about 485.4096245347.

The spelling of 114373431 in words is "one hundred fourteen million, three hundred seventy-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 1303 3251 3909 9753 11727 29259 35181 87777 4236053 12708159 38124477 114373431