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111421819440 = 243253153131719
BaseRepresentation
bin110011111000101000…
…0100000101000110000
3101122121011210212222100
41213301100200220300
53311142441210230
6123104140140400
711023064560431
oct1476120405060
9348534725870
10111421819440
11432877920a8
1219716b37700
13a678c47c99
14556dd75488
152d71d4c660
hex19f1420a30

111421819440 has 480 divisors, whose sum is σ = 397106012160. Its totient is φ = 27957196800.

The previous prime is 111421819433. The next prime is 111421819451. The reversal of 111421819440 is 44918124111.

111421819440 is a `hidden beast` number, since 1 + 1 + 1 + 421 + 8 + 194 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111421819395 and 111421819404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154967401 + ... + 154968119.

It is an arithmetic number, because the mean of its divisors is an integer number (827304192).

Almost surely, 2111421819440 is an apocalyptic number.

111421819440 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 111421819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198553006080).

111421819440 is an abundant number, since it is smaller than the sum of its proper divisors (285684192720).

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

111421819440 is a wasteful number, since it uses less digits than its factorization.

111421819440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 111421819440 in words is "one hundred eleven billion, four hundred twenty-one million, eight hundred nineteen thousand, four hundred forty".