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10444054401 = 3211463922741
BaseRepresentation
bin10011011101000001…
…11001111110000001
3222221212022221020200
421232200321332001
5132342134220101
64444204155413
7516545666124
oct115640717601
928855287220
1010444054401
11447a43a720
122035838b69
13ca59b4b61
147111143bb
15411d74986
hex26e839f81

10444054401 has 24 divisors (see below), whose sum is σ = 16461569280. Its totient is φ = 6328087200.

The previous prime is 10444054393. The next prime is 10444054409. The reversal of 10444054401 is 10445044401.

10444054401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10444054393) and next prime (10444054409).

It is not a de Polignac number, because 10444054401 - 23 = 10444054393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10444054409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447891 + ... + 470631.

It is an arithmetic number, because the mean of its divisors is an integer number (685898720).

Almost surely, 210444054401 is an apocalyptic number.

10444054401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10444054401 is a deficient number, since it is larger than the sum of its proper divisors (6017514879).

10444054401 is a wasteful number, since it uses less digits than its factorization.

10444054401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27397 (or 27394 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 10444054401 its reverse (10445044401), we get a palindrome (20889098802).

The spelling of 10444054401 in words is "ten billion, four hundred forty-four million, fifty-four thousand, four hundred one".

Divisors: 1 3 9 11 33 99 4639 13917 22741 41751 51029 68223 153087 204669 250151 459261 750453 2251359 105495499 316486497 949459491 1160450489 3481351467 10444054401