Search a number
-
+
11400000132 = 2231498297691
BaseRepresentation
bin10101001110111111…
…00011001010000100
31002102111010000021010
422213133203022010
5141321400001012
65123113322220
7552334254663
oct124737431204
932374100233
1011400000132
114920003914
122261a06370
1310c8a69011
147a2074dda
1546ac52c3c
hex2a77e3284

11400000132 has 48 divisors (see below), whose sum is σ = 26814312000. Its totient is φ = 3769453440.

The previous prime is 11400000049. The next prime is 11400000151. The reversal of 11400000132 is 23100000411.

It is a happy number.

11400000132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478407 + ... + 1486097.

It is an arithmetic number, because the mean of its divisors is an integer number (558631500).

Almost surely, 211400000132 is an apocalyptic number.

11400000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11400000132 is an abundant number, since it is smaller than the sum of its proper divisors (15414311868).

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

11400000132 is a wasteful number, since it uses less digits than its factorization.

11400000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8674 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11400000132 its reverse (23100000411), we get a palindrome (34500000543).

The spelling of 11400000132 in words is "eleven billion, four hundred million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 149 298 447 596 829 894 1658 1788 2487 3316 4974 7691 9948 15382 23073 30764 46146 92292 123521 247042 370563 494084 741126 1145959 1482252 2291918 3437877 4583836 6375839 6875754 12751678 13751508 19127517 25503356 38255034 76510068 950000011 1900000022 2850000033 3800000044 5700000066 11400000132