Search a number
-
+
11410404320 = 25574347712
BaseRepresentation
bin10101010000001110…
…01111001111100000
31002110012200121010102
422220013033033200
5141332030414240
65124124321532
7552521556620
oct125007171740
932405617112
1011410404320
11492596a717
1222653a32a8
1310cac6c843
147a35c2880
1546bb0a815
hex2a81cf3e0

11410404320 has 288 divisors, whose sum is σ = 32655135744. Its totient is φ = 3687183360.

The previous prime is 11410404319. The next prime is 11410404337. The reversal of 11410404320 is 2340401411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11410404292 and 11410404301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160709885 + ... + 160709955.

It is an arithmetic number, because the mean of its divisors is an integer number (113385888).

Almost surely, 211410404320 is an apocalyptic number.

11410404320 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 11410404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327567872).

11410404320 is an abundant number, since it is smaller than the sum of its proper divisors (21244731424).

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

11410404320 is an equidigital number, since it uses as much as digits as its factorization.

11410404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11410404320 its reverse (2340401411), we get a palindrome (13750805731).

The spelling of 11410404320 in words is "eleven billion, four hundred ten million, four hundred four thousand, three hundred twenty".