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444300146611101 = 321115803283989133
BaseRepresentation
bin110010100000101101011000…
…0011010011001001110011101
32011021010200100010200110202100
41211001122300122121032131
5431213403200013023401
64212540400344515313
7162404424551061354
oct14501326032311635
92137120303613670
10444300146611101
111196276a7976730
12419b841817bb39
13160bb429c23071
147ba035584a99b
1536573ee2c4b86
hex19416b069939d

444300146611101 has 24 divisors (see below), whose sum is σ = 700153626702816. Its totient is φ = 269255775831840.

The previous prime is 444300146611081. The next prime is 444300146611207. The reversal of 444300146611101 is 101116641003444.

444300146611101 is a `hidden beast` number, since 4 + 4 + 4 + 30 + 0 + 1 + 4 + 6 + 611 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 444300146611101 - 234 = 444282966741917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444300146621101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140430070 + ... + 143559063.

It is an arithmetic number, because the mean of its divisors is an integer number (29173067779284).

Almost surely, 2444300146611101 is an apocalyptic number.

It is an amenable number.

444300146611101 is a deficient number, since it is larger than the sum of its proper divisors (255853480091715).

444300146611101 is a wasteful number, since it uses less digits than its factorization.

444300146611101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284004953 (or 284004950 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 444300146611101 its reverse (101116641003444), we get a palindrome (545416787614545).

The spelling of 444300146611101 in words is "four hundred forty-four trillion, three hundred billion, one hundred forty-six million, six hundred eleven thousand, one hundred one".

Divisors: 1 3 9 11 33 99 15803 47409 142227 173833 521499 1564497 283989133 851967399 2555902197 3123880463 9371641389 28114924167 4487880268799 13463640806397 40390922419191 49366682956789 148100048870367 444300146611101