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11404114312320 = 27345367599419
BaseRepresentation
bin1010010111110011101000…
…1011101011110010000000
31111101020000100000202210000
42211330322023223302000
52443321111230443240
640130551111440000
72254630404153102
oct245747213536200
944336010022700
1011404114312320
1136a7504252024
12134223a986000
13649532268c12
142b5d67d27572
1514b9a93a8430
hexa5f3a2ebc80

11404114312320 has 320 divisors, whose sum is σ = 40837189852800. Its totient is φ = 3032805722112.

The previous prime is 11404114312319. The next prime is 11404114312337. The reversal of 11404114312320 is 2321341140411.

It is a happy number.

11404114312320 is a `hidden beast` number, since 1 + 1 + 404 + 114 + 3 + 123 + 20 = 666.

11404114312320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18725571 + ... + 19324989.

It is an arithmetic number, because the mean of its divisors is an integer number (127616218290).

Almost surely, 211404114312320 is an apocalyptic number.

11404114312320 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 11404114312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418594926400).

11404114312320 is an abundant number, since it is smaller than the sum of its proper divisors (29433075540480).

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

11404114312320 is an equidigital number, since it uses as much as digits as its factorization.

11404114312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599817 (or 599796 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11404114312320 its reverse (2321341140411), we get a palindrome (13725455452731).

The spelling of 11404114312320 in words is "eleven trillion, four hundred four billion, one hundred fourteen million, three hundred twelve thousand, three hundred twenty".