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444312140100431 = 10924116913934299
BaseRepresentation
bin110010100000110010111101…
…1010001111011001101001111
32011021011211021222112212010212
41211001211323101323031033
5431214102230331203211
64212550102422553035
7162405331013050511
oct14501457321731517
92137154258485125
10444312140100431
111196317a1990789
12419ba80489877b
13160bc5bb918305
147ba0b72651bb1
1536578a21ab38b
hex194197b47b34f

444312140100431 has 8 divisors (see below), whose sum is σ = 450248931066000. Its totient is φ = 438409177004160.

The previous prime is 444312140100391. The next prime is 444312140100443. The reversal of 444312140100431 is 134001041213444.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444312140100431 is a prime.

It is a super-2 number, since 2×4443121401004312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444312140100131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8456940881 + ... + 8456993418.

It is an arithmetic number, because the mean of its divisors is an integer number (56281116383250).

Almost surely, 2444312140100431 is an apocalyptic number.

444312140100431 is a deficient number, since it is larger than the sum of its proper divisors (5936790965569).

444312140100431 is a wasteful number, since it uses less digits than its factorization.

444312140100431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16913934649.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 444312140100431 its reverse (134001041213444), we get a palindrome (578313181313875).

The spelling of 444312140100431 in words is "four hundred forty-four trillion, three hundred twelve billion, one hundred forty million, one hundred thousand, four hundred thirty-one".

Divisors: 1 109 241 26269 16913934299 1843618838591 4076258166059 444312140100431