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444400434341331 = 31371271035921533
BaseRepresentation
bin110010100001011100000101…
…0000001101110010111010011
32011021111021012100202000200020
41211002320022001232113103
5431222024042142410311
64213054424030554523
7162414605020524456
oct14502701201562723
92137437170660606
10444400434341331
11119666190765806
1241a13946368a43
13160c7a20225880
147ba514aba949d
153659d1d8e7c06
hex1942e0a06e5d3

444400434341331 has 32 divisors (see below), whose sum is σ = 647124942385152. Its totient is φ = 269615405243520.

The previous prime is 444400434341257. The next prime is 444400434341359. The reversal of 444400434341331 is 133143434004444.

It is not a de Polignac number, because 444400434341331 - 223 = 444400425952723 is a prime.

It is a super-2 number, since 2×4444004343413312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444400434341531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72087441 + ... + 78008973.

It is an arithmetic number, because the mean of its divisors is an integer number (20222654449536).

Almost surely, 2444400434341331 is an apocalyptic number.

444400434341331 is a deficient number, since it is larger than the sum of its proper divisors (202724508043821).

444400434341331 is a wasteful number, since it uses less digits than its factorization.

444400434341331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5948723.

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 444400434341331 its reverse (133143434004444), we get a palindrome (577543868345775).

The spelling of 444400434341331 in words is "four hundred forty-four trillion, four hundred billion, four hundred thirty-four million, three hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 71 213 923 2769 27103 81309 352339 1057017 1924313 5772939 5921533 17764599 25016069 75048207 76979929 230939787 420428843 1261286529 5465574959 16396724877 160491308899 481473926697 2086387015687 6259161047061 11394882931829 34184648795487 148133478113777 444400434341331