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11404323400 = 23523110091823
BaseRepresentation
bin10101001111100000…
…00010101001001000
31002102210020122200011
422213300002221020
5141324001322100
65123350121304
7552416102161
oct124760025110
932383218604
1011404323400
114922496a68
122263350234
1310c9920a72
147a287c768
1546b308bba
hex2a7c02a48

11404323400 has 96 divisors (see below), whose sum is σ = 27412531200. Its totient is φ = 4407782400.

The previous prime is 11404323397. The next prime is 11404323407. The reversal of 11404323400 is 432340411.

It is not an unprimeable number, because it can be changed into a prime (11404323407) 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 23 ways as a sum of consecutive naturals, for example, 6254889 + ... + 6256711.

It is an arithmetic number, because the mean of its divisors is an integer number (285547200).

Almost surely, 211404323400 is an apocalyptic number.

11404323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706265600).

11404323400 is an abundant number, since it is smaller than the sum of its proper divisors (16008207800).

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

11404323400 is a wasteful number, since it uses less digits than its factorization.

11404323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11404323400 its reverse (432340411), we get a palindrome (11836663811).

The spelling of 11404323400 in words is "eleven billion, four hundred four million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1009 1240 1550 1823 2018 3100 3646 4036 5045 6200 7292 8072 9115 10090 14584 18230 20180 25225 31279 36460 40360 45575 50450 56513 62558 72920 91150 100900 113026 125116 156395 182300 201800 226052 250232 282565 312790 364600 452104 565130 625580 781975 1130260 1251160 1412825 1563950 1839407 2260520 2825650 3127900 3678814 5651300 6255800 7357628 9197035 11302600 14715256 18394070 36788140 45985175 57021617 73576280 91970350 114043234 183940700 228086468 285108085 367881400 456172936 570216170 1140432340 1425540425 2280864680 2851080850 5702161700 11404323400