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114862914 = 23317211593
BaseRepresentation
bin1101101100010…
…10101101000010
322000010122022000
412312022231002
5213401103124
615221524430
72563214205
oct666125502
9260118260
10114862914
1159923231
1232573716
131aa4892a
141137d93c
15a13d6c9
hex6d8ab42

114862914 has 64 divisors (see below), whose sum is σ = 272004480. Its totient is φ = 35804160.

The previous prime is 114862907. The next prime is 114862921. The reversal of 114862914 is 419268411.

114862914 is a `hidden beast` number, since 1 + 14 + 8 + 629 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (114862907) and next prime (114862921).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193402 + ... + 193994.

It is an arithmetic number, because the mean of its divisors is an integer number (4250070).

Almost surely, 2114862914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114862914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136002240).

114862914 is an abundant number, since it is smaller than the sum of its proper divisors (157141566).

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

114862914 is a wasteful number, since it uses less digits than its factorization.

114862914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 114862914 is about 10717.4117211200. The cubic root of 114862914 is about 486.1011068412.

It can be divided in two parts, 11486 and 2914, that added together give a square (14400 = 1202).

The spelling of 114862914 in words is "one hundred fourteen million, eight hundred sixty-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 211 306 422 459 593 633 918 1186 1266 1779 1899 3558 3587 3798 5337 5697 7174 10081 10674 10761 11394 16011 20162 21522 30243 32022 32283 60486 64566 90729 96849 125123 181458 193698 250246 272187 375369 544374 750738 1126107 2127091 2252214 3378321 4254182 6381273 6756642 12762546 19143819 38287638 57431457 114862914