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444344331051 = 32412414996619
BaseRepresentation
bin1100111011101001111…
…11000110101100101011
31120110221010020210100100
412131310333012230223
524240004122043201
6540043505040443
744050160332005
oct6356477065453
91513833223310
10444344331051
11161499877685
127214a026123
1332b9476209a
1417713717375
15b8599be886
hex6774fc6b2b

444344331051 has 24 divisors (see below), whose sum is σ = 660213393840. Its totient is φ = 287805196800.

The previous prime is 444344330981. The next prime is 444344331071. The reversal of 444344331051 is 150133443444.

It is not a de Polignac number, because 444344331051 - 211 = 444344329003 is a prime.

It is a super-3 number, since 3×4443443310513 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444344330997 and 444344331015.

It is not an unprimeable number, because it can be changed into a prime (444344331071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2409381 + ... + 2587238.

It is an arithmetic number, because the mean of its divisors is an integer number (27508891410).

Almost surely, 2444344331051 is an apocalyptic number.

444344331051 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444344331051 is a deficient number, since it is larger than the sum of its proper divisors (215869062789).

444344331051 is a wasteful number, since it uses less digits than its factorization.

444344331051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996907 (or 4996904 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 444344331051 its reverse (150133443444), we get a palindrome (594477774495).

The spelling of 444344331051 in words is "four hundred forty-four billion, three hundred forty-four million, three hundred thirty-one thousand, fifty-one".

Divisors: 1 3 9 41 123 241 369 723 2169 9881 29643 88929 4996619 14989857 44969571 204861379 614584137 1204185179 1843752411 3612555537 10837666611 49371592339 148114777017 444344331051