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444331003114044 = 2232231972724018509
BaseRepresentation
bin110010100000111011101111…
…1100110100111001000111100
32011021020121222120122020021200
41211001313133212213020330
5431214404343244122134
64213002502254455500
7162406566321034344
oct14501673746471074
92137217876566250
10444331003114044
111196397a1633032
1241a023a9b04590
13160c1306892327
147ba1a4192bd24
1536581081d7499
hex1941ddf9a723c

444331003114044 has 72 divisors (see below), whose sum is σ = 1177952772316320. Its totient is φ = 140951613677952.

The previous prime is 444331003114007. The next prime is 444331003114049. The reversal of 444331003114044 is 440411300133444.

444331003114044 is a `hidden beast` number, since 4 + 4 + 4 + 331 + 0 + 0 + 311 + 4 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444331003114049) 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, 1361846139 + ... + 1362172370.

It is an arithmetic number, because the mean of its divisors is an integer number (16360455171060).

Almost surely, 2444331003114044 is an apocalyptic number.

It is an amenable number.

444331003114044 is an abundant number, since it is smaller than the sum of its proper divisors (733621769202276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444331003114044 is a wasteful number, since it uses less digits than its factorization.

444331003114044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724018739 (or 2724018734 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444331003114044 its reverse (440411300133444), we get a palindrome (884742303247488).

The spelling of 444331003114044 in words is "four hundred forty-four trillion, three hundred thirty-one billion, three million, one hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 197 207 276 394 414 591 788 828 1182 1773 2364 3546 4531 7092 9062 13593 18124 27186 40779 54372 81558 163116 2724018509 5448037018 8172055527 10896074036 16344111054 24516166581 32688222108 49032333162 62652425707 98064666324 125304851414 187957277121 250609702828 375914554242 536631646273 563871831363 751829108484 1073263292546 1127743662726 1609894938819 2146526585092 2255487325452 3219789877638 4829684816457 6439579755276 9659369632914 12342527864279 19318739265828 24685055728558 37027583592837 49370111457116 74055167185674 111082750778511 148110334371348 222165501557022 444331003114044