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14122717265540 = 22513163733181517
BaseRepresentation
bin1100110110000011001110…
…0010111011111010000100
31212000010012110002221211102
43031200303202323322010
53322341311104444130
650011515311555232
72655222046035662
oct315406342737204
955003173087742
1014122717265540
114555457799604
1217010b152bb18
137b59c708b640
1436b78661dc32
1519756e6e9645
hexcd8338bbe84

14122717265540 has 48 divisors (see below), whose sum is σ = 31958579972592. Its totient is φ = 5211356176896.

The previous prime is 14122717265533. The next prime is 14122717265551. The reversal of 14122717265540 is 4556271722141.

14122717265540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2677202798656 + 11445514466884 = 1636216^2 + 3383122^2 .

It is a super-2 number, since 2×141227172655402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16165139 + ... + 17016378.

It is an arithmetic number, because the mean of its divisors is an integer number (665803749429).

Almost surely, 214122717265540 is an apocalyptic number.

14122717265540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14122717265540 is an abundant number, since it is smaller than the sum of its proper divisors (17835862707052).

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

14122717265540 is a wasteful number, since it uses less digits than its factorization.

14122717265540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33183176 (or 33183174 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

Adding to 14122717265540 its reverse (4556271722141), we get a palindrome (18678988987681).

The spelling of 14122717265540 in words is "fourteen trillion, one hundred twenty-two billion, seven hundred seventeen million, two hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1637 3274 6548 8185 16370 21281 32740 42562 85124 106405 212810 425620 33181517 66363034 132726068 165907585 331815170 431359721 663630340 862719442 1725438884 2156798605 4313597210 8627194420 54318143329 108636286658 217272573316 271590716645 543181433290 706135863277 1086362866580 1412271726554 2824543453108 3530679316385 7061358632770 14122717265540