Search a number
-
+
114140488 = 237111271459
BaseRepresentation
bin1101100110110…
…10010101001000
321221202221022111
412303122111020
5213204443423
615154232104
72554115050
oct663322510
9257687274
10114140488
115947a490
1232285634
131a854b67
1411232560
15a04960d
hex6cda548

114140488 has 64 divisors (see below), whose sum is σ = 269107200. Its totient is φ = 44089920.

The previous prime is 114140483. The next prime is 114140489. The reversal of 114140488 is 884041411.

It is not an unprimeable number, because it can be changed into a prime (114140483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77503 + ... + 78961.

It is an arithmetic number, because the mean of its divisors is an integer number (4204800).

Almost surely, 2114140488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114140488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134553600).

114140488 is an abundant number, since it is smaller than the sum of its proper divisors (154966712).

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

114140488 is a wasteful number, since it uses less digits than its factorization.

114140488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 114140488 is about 10683.6551797594. The cubic root of 114140488 is about 485.0798578957.

Adding to 114140488 its reverse (884041411), we get a palindrome (998181899).

The spelling of 114140488 in words is "one hundred fourteen million, one hundred forty thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 127 154 254 308 508 616 889 1016 1397 1459 1778 2794 2918 3556 5588 5836 7112 9779 10213 11176 11672 16049 19558 20426 32098 39116 40852 64196 78232 81704 112343 128392 185293 224686 370586 449372 741172 898744 1297051 1482344 2038223 2594102 4076446 5188204 8152892 10376408 14267561 16305784 28535122 57070244 114140488