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11414031120 = 24325192928771
BaseRepresentation
bin10101010000101010…
…00100101100010000
31002110110111212011100
422220111010230100
5141333442443440
65124334144400
7552564443442
oct125025045420
932413455140
1011414031120
114927a17578
122266652100
1310cb93c58b
147a3c88492
1546c0c5230
hex2a8544b10

11414031120 has 240 divisors, whose sum is σ = 41742417600. Its totient is φ = 2784015360.

The previous prime is 11414031119. The next prime is 11414031121. The reversal of 11414031120 is 2113041411.

11414031120 is a `hidden beast` number, since 1 + 141 + 403 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (11414031119) and next prime (11414031121).

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 = 11414031093 and 11414031102.

It is not an unprimeable number, because it can be changed into a prime (11414031121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382335 + ... + 411105.

It is an arithmetic number, because the mean of its divisors is an integer number (173926740).

Almost surely, 211414031120 is an apocalyptic number.

11414031120 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 11414031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20871208800).

11414031120 is an abundant number, since it is smaller than the sum of its proper divisors (30328386480).

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

11414031120 is a wasteful number, since it uses less digits than its factorization.

11414031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28838 (or 28829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11414031120 its reverse (2113041411), we get a palindrome (13527072531).

The spelling of 11414031120 in words is "eleven billion, four hundred fourteen million, thirty-one thousand, one hundred twenty".