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22201414341444 = 22321347438919533
BaseRepresentation
bin1010000110001001010110…
…11010100101001101000100
32220121102201201221000211200
411003010223122211031010
510402221444032411234
6115115104451302500
74450666513130262
oct503045332451504
986542651830750
1022201414341444
11708a626673748
1225a69488aaa30
13c50779b976b0
1456a7a8995432
1528779a561d99
hex14312b6a5344

22201414341444 has 36 divisors (see below), whose sum is σ = 60437183486316. Its totient is φ = 6831204412608.

The previous prime is 22201414341427. The next prime is 22201414341461. The reversal of 22201414341444 is 44414341410222.

22201414341444 is a `hidden beast` number, since 2 + 2 + 20 + 14 + 143 + 41 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (22201414341427) and next prime (22201414341461).

It can be written as a sum of positive squares in 2 ways, for example, as 4361874020100 + 17839540321344 = 2088510^2 + 4223688^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-5 number, since 5×222014143414445 (a number of 68 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22201414341399 and 22201414341408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23719459299 + ... + 23719460234.

Almost surely, 222201414341444 is an apocalyptic number.

It is an amenable number.

22201414341444 is an abundant number, since it is smaller than the sum of its proper divisors (38235769144872).

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

22201414341444 is a wasteful number, since it uses less digits than its factorization.

22201414341444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47438919556 (or 47438919551 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 22201414341444 its reverse (44414341410222), we get a palindrome (66615755751666).

The spelling of 22201414341444 in words is "twenty-two trillion, two hundred one billion, four hundred fourteen million, three hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 47438919533 94877839066 142316758599 189755678132 284633517198 426950275797 569267034396 616705953929 853900551594 1233411907858 1707801103188 1850117861787 2466823815716 3700235723574 5550353585361 7400471447148 11100707170722 22201414341444