Search a number
-
+
11410155142400 = 28527292302843
BaseRepresentation
bin1010011000001010001000…
…1111100111110100000000
31111101210121022220201210102
42212002202033213310000
52443420444204024100
640133430343421532
72255233165314440
oct246024217476400
944353538821712
1011410155142400
1136aa024130083
121343445a548a8
13649c8592c2a1
142b637c324120
1514bc0e8a8cd5
hexa60a23e7d00

11410155142400 has 324 divisors, whose sum is σ = 33427947370272. Its totient is φ = 3777142333440.

The previous prime is 11410155142357. The next prime is 11410155142459. The reversal of 11410155142400 is 424155101411.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37525379 + ... + 37828221.

Almost surely, 211410155142400 is an apocalyptic number.

11410155142400 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 11410155142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713973685136).

11410155142400 is an abundant number, since it is smaller than the sum of its proper divisors (22017792227872).

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

11410155142400 is an equidigital number, since it uses as much as digits as its factorization.

11410155142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302934 (or 302886 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The spelling of 11410155142400 in words is "eleven trillion, four hundred ten billion, one hundred fifty-five million, one hundred forty-two thousand, four hundred".