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11402104320 = 2935518329
BaseRepresentation
bin10101001111001111…
…00100111000000000
31002102122001220200000
422213213210320000
5141322414314240
65123230400000
7552361200435
oct124747447000
932378056600
1011402104320
114921210812
122262660000
1310c93249b9
147a2461b8c
1546b01b430
hex2a79e4e00

11402104320 has 240 divisors, whose sum is σ = 40953472560. Its totient is φ = 3040395264.

The previous prime is 11402104313. The next prime is 11402104321. The reversal of 11402104320 is 2340120411.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11402104293 and 11402104302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11402104321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612916 + ... + 631244.

It is an arithmetic number, because the mean of its divisors is an integer number (170639469).

Almost surely, 211402104320 is an apocalyptic number.

11402104320 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 11402104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476736280).

11402104320 is an abundant number, since it is smaller than the sum of its proper divisors (29551368240).

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

11402104320 is an frugal number, since it uses more digits than its factorization.

11402104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18367 (or 18339 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11402104320 its reverse (2340120411), we get a palindrome (13742224731).

The spelling of 11402104320 in words is "eleven billion, four hundred two million, one hundred four thousand, three hundred twenty".