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114124059 = 347431467
BaseRepresentation
bin1101100110101…
…10010100011011
321221202002210000
412303112110123
5213203432214
615154024043
72554016130
oct663262433
9257662700
10114124059
1159469105
1232278023
131a84a53a
141122a587
15a044809
hex6cd651b

114124059 has 40 divisors (see below), whose sum is σ = 195706368. Its totient is φ = 64923120.

The previous prime is 114124001. The next prime is 114124061. The reversal of 114124059 is 950421411.

It is not a de Polignac number, because 114124059 - 29 = 114123547 is a prime.

It is a super-3 number, since 3×1141240593 (a number of 25 digits) contains 333 as substring.

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 (114124079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244144 + ... + 244610.

Almost surely, 2114124059 is an apocalyptic number.

114124059 is a deficient number, since it is larger than the sum of its proper divisors (81582309).

114124059 is an equidigital number, since it uses as much as digits as its factorization.

114124059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114124059 is about 10682.8862672969. The cubic root of 114124059 is about 485.0565831883.

It can be divided in two parts, 1141 and 24059, that added together give a triangular number (25200 = T224).

The spelling of 114124059 in words is "one hundred fourteen million, one hundred twenty-four thousand, fifty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 431 467 567 1293 1401 3017 3269 3879 4203 9051 9807 11637 12609 27153 29421 34911 37827 81459 88263 201277 244377 264789 603831 1408939 1811493 4226817 5434479 12680451 16303437 38041353 114124059