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11144106226141 = 721997193639391
BaseRepresentation
bin1010001000101011000001…
…1111100011000111011101
31110110100212220221110101021
42202022300133203013131
52430041112143214031
635411310504044141
72230064224662400
oct242126037430735
943410786843337
1011144106226141
113607209490579
1212bb976763651
1362ab6691b155
142a7540289d37
15144d3cb35511
hexa22b07e31dd

11144106226141 has 48 divisors (see below), whose sum is σ = 13857977602560. Its totient is φ = 8909638778880.

The previous prime is 11144106226117. The next prime is 11144106226181. The reversal of 11144106226141 is 14162260144111.

11144106226141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11144106226141 - 217 = 11144106095069 is a prime.

It is a super-2 number, since 2×111441062261412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11144106226097 and 11144106226106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144106226181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17109556 + ... + 17748946.

It is an arithmetic number, because the mean of its divisors is an integer number (288707866720).

Almost surely, 211144106226141 is an apocalyptic number.

It is an amenable number.

11144106226141 is a deficient number, since it is larger than the sum of its proper divisors (2713871376419).

11144106226141 is a wasteful number, since it uses less digits than its factorization.

11144106226141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639714 (or 639707 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 11144106226141 in words is "eleven trillion, one hundred forty-four billion, one hundred six million, two hundred twenty-six thousand, one hundred forty-one".

Divisors: 1 7 19 49 97 133 193 679 931 1351 1843 3667 4753 9457 12901 18721 25669 90307 131047 179683 355699 639391 917329 2489893 4475737 12148429 17429251 31330159 62020927 85039003 123402463 434146489 595273021 863817241 1178397613 2344646797 3039025423 6046720687 8248783291 11970038911 16412527579 57741483037 83790272377 114887693053 227430739309 586531906639 1592015175163 11144106226141