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440114434012440 = 2332511273149438233
BaseRepresentation
bin110010000010010000010000…
…0011111111111010100011000
32010201022112021121222021102100
41210010200200133333110120
5430141313330101344230
64200013440233203400
7161463134650034445
oct14404404037772430
92121275247867370
10440114434012440
11118263535270a70
1241441161560560
1315b767c7b237c5
147a9791bb569cc
1535d35be349660
hex19048207ff518

440114434012440 has 384 divisors, whose sum is σ = 1561482522362880. Its totient is φ = 106620811315200.

The previous prime is 440114434012397. The next prime is 440114434012447. The reversal of 440114434012440 is 44210434411044.

440114434012440 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 1 + 4 + 4 + 3 + 401 + 244 + 0 = 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 = 440114434012395 and 440114434012404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440114434012447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53457354564 + ... + 53457362796.

It is an arithmetic number, because the mean of its divisors is an integer number (4066360735320).

Almost surely, 2440114434012440 is an apocalyptic number.

440114434012440 is a gapful number since it is divisible by the number (40) 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 440114434012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780741261181440).

440114434012440 is an abundant number, since it is smaller than the sum of its proper divisors (1121368088350440).

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

440114434012440 is a wasteful number, since it uses less digits than its factorization.

440114434012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 440114434012440 its reverse (44210434411044), we get a palindrome (484324868423484).

The spelling of 440114434012440 in words is "four hundred forty trillion, one hundred fourteen billion, four hundred thirty-four million, twelve thousand, four hundred forty".