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444212110044031 = 74112712187223519
BaseRepresentation
bin110010100000000100011000…
…1000001100010101101111111
32011020211021002201100111021011
41211000020301001202231333
5431210432400132402111
64212432120503420051
7162365160122440150
oct14500106101425577
92136737081314234
10444212110044031
111195a333059688a
12419a3348a54627
13160b3039b14024
147b99da3609927
153654e9a4d6021
hex1940231062b7f

444212110044031 has 16 divisors (see below), whose sum is σ = 524148109148160. Its totient is φ = 368541639184320.

The previous prime is 444212110044011. The next prime is 444212110044037. The reversal of 444212110044031 is 130440011212444.

It is not a de Polignac number, because 444212110044031 - 239 = 443662354230143 is a prime.

It is a super-2 number, since 2×4442121100440312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444212110043984 and 444212110044002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444212110044037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6093575311 + ... + 6093648208.

It is an arithmetic number, because the mean of its divisors is an integer number (32759256821760).

Almost surely, 2444212110044031 is an apocalyptic number.

444212110044031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

444212110044031 is a deficient number, since it is larger than the sum of its proper divisors (79935999104129).

444212110044031 is a wasteful number, since it uses less digits than its factorization.

444212110044031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187223694.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 444212110044031 its reverse (130440011212444), we get a palindrome (574652121256475).

The spelling of 444212110044031 in words is "four hundred forty-four trillion, two hundred twelve billion, one hundred ten million, forty-four thousand, thirty-one".

Divisors: 1 7 41 127 287 889 5207 36449 12187223519 85310564633 499676164279 1547777386913 3497733149953 10834441708391 63458872863433 444212110044031