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10412343330444 = 223711711524013
BaseRepresentation
bin1001011110000101000000…
…0001101000011010001100
31100212102002002221210000000
42113201100001220122030
52331043434343033234
634051210421404300
72123160401000406
oct227412001503214
940772062853000
1010412343330444
1133549393a7260
121201b94869690
135a6b58aba893
1427dd62761b76
15130cb02c9899
hex9785006868c

10412343330444 has 192 divisors, whose sum is σ = 30232536284160. Its totient is φ = 3110813294400.

The previous prime is 10412343330421. The next prime is 10412343330449. The reversal of 10412343330444 is 44403334321401.

10412343330444 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 343 + 3 + 304 + 4 + 4 = 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 = 10412343330399 and 10412343330408.

It is not an unprimeable number, because it can be changed into a prime (10412343330449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6070182 + ... + 7594194.

It is an arithmetic number, because the mean of its divisors is an integer number (157461126480).

Almost surely, 210412343330444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412343330444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116268142080).

10412343330444 is an abundant number, since it is smaller than the sum of its proper divisors (19820192953716).

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

10412343330444 is a wasteful number, since it uses less digits than its factorization.

10412343330444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524120 (or 1524100 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 10412343330444 its reverse (44403334321401), we get a palindrome (54815677651845).

The spelling of 10412343330444 in words is "ten trillion, four hundred twelve billion, three hundred forty-three million, three hundred thirty thousand, four hundred forty-four".