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444122625141 = 3213371031815503
BaseRepresentation
bin1100111011001111100…
…01010111010001110101
31120110100200001222000100
412131213301113101311
524234030343001031
6540005505104313
744041526012046
oct6354761272165
91513320058010
10444122625141
11161395709758
12720a7928099
1332b5a848060
14176d20c48cd
15b8452c8de6
hex6767c57475

444122625141 has 96 divisors (see below), whose sum is σ = 720506888192. Its totient is φ = 261835338240.

The previous prime is 444122625137. The next prime is 444122625187. The reversal of 444122625141 is 141526221444.

444122625141 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 22 + 625 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 444122625141 - 22 = 444122625137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444122625096 and 444122625105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444122625131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80702796 + ... + 80708298.

Almost surely, 2444122625141 is an apocalyptic number.

It is an amenable number.

444122625141 is a deficient number, since it is larger than the sum of its proper divisors (276384263051).

444122625141 is a wasteful number, since it uses less digits than its factorization.

444122625141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5843 (or 5840 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Adding to 444122625141 its reverse (141526221444), we get a palindrome (585648846585).

The spelling of 444122625141 in words is "four hundred forty-four billion, one hundred twenty-two million, six hundred twenty-five thousand, one hundred forty-one".

Divisors: 1 3 9 13 37 39 103 111 117 181 309 333 481 543 927 1339 1443 1629 2353 3811 4017 4329 5503 6697 7059 11433 12051 16509 18643 20091 21177 34299 49527 49543 55929 60273 71539 87061 148629 167787 203611 214617 242359 261183 445887 566809 610833 643851 689791 727077 783549 996043 1700427 1832499 2069373 2181231 2646943 2988129 5101281 6208119 7368517 7940829 8964387 8967283 12948559 20971933 22105551 23822487 26901849 36853591 38845677 62915799 66316653 80705547 102592429 110560773 116537031 188747397 272635129 307777287 331682319 479096683 817905387 923331861 1333701577 1437290049 2453716161 3795919873 4001104731 4311870147 11387759619 12003314193 34163278857 49346958349 148040875047 444122625141