Search a number
-
+
114507471 = 31321911887
BaseRepresentation
bin1101101001100…
…11111011001111
321222110120201110
412310303323033
5213303214341
615210143103
72560204011
oct664637317
9258416643
10114507471
1159700181
1232421a93
131a952c00
14112ca1b1
15a0bd216
hex6d33ecf

114507471 has 24 divisors (see below), whose sum is σ = 174040320. Its totient is φ = 66751776.

The previous prime is 114507439. The next prime is 114507473. The reversal of 114507471 is 174705411.

It is not a de Polignac number, because 114507471 - 25 = 114507439 is a prime.

It is a super-3 number, since 3×1145074713 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114507473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3690 + ... + 15576.

It is an arithmetic number, because the mean of its divisors is an integer number (7251680).

Almost surely, 2114507471 is an apocalyptic number.

114507471 is a deficient number, since it is larger than the sum of its proper divisors (59532849).

114507471 is a wasteful number, since it uses less digits than its factorization.

114507471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11935 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 114507471 is about 10700.8163707261. The cubic root of 114507471 is about 485.5991758570.

The spelling of 114507471 in words is "one hundred fourteen million, five hundred seven thousand, four hundred seventy-one".

Divisors: 1 3 13 19 39 57 169 247 507 741 3211 9633 11887 35661 154531 225853 463593 677559 2008903 2936089 6026709 8808267 38169157 114507471