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244541100332340 = 2232573231499114883
BaseRepresentation
bin110111100110100010101001…
…011010110001010100110100
31012001211220022201222200202200
4313212202221122301110310
5224023030133141113330
62224032344113504500
7102336340301334000
oct6746425132612464
91161756281880680
10244541100332340
1170a11330a67499
1223515853872130
13a65b1857bb3c6
144455bd1017700
151d4111dc80a60
hexde68a96b1534

244541100332340 has 576 divisors, whose sum is σ = 903263961600000. Its totient is φ = 53428754421504.

The previous prime is 244541100332327. The next prime is 244541100332351. The reversal of 244541100332340 is 43233001145442.

244541100332340 is a `hidden beast` number, since 2 + 4 + 4 + 5 + 411 + 0 + 0 + 3 + 3 + 234 + 0 = 666.

244541100332340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 244541100332295 and 244541100332304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2128552539 + ... + 2128667421.

It is an arithmetic number, because the mean of its divisors is an integer number (1568166600000).

Almost surely, 2244541100332340 is an apocalyptic number.

244541100332340 is a gapful number since it is divisible by the number (20) 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 244541100332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451631980800000).

244541100332340 is an abundant number, since it is smaller than the sum of its proper divisors (658722861267660).

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

244541100332340 is a wasteful number, since it uses less digits than its factorization.

244541100332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116441 (or 116422 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 244541100332340 its reverse (43233001145442), we get a palindrome (287774101477782).

The spelling of 244541100332340 in words is "two hundred forty-four trillion, five hundred forty-one billion, one hundred million, three hundred thirty-two thousand, three hundred forty".