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42140222411441 = 751131883773
BaseRepresentation
bin10011001010011100010001…
…11111001101001010110001
312112012120021112222102011112
421211032020333031022301
521010411133414131231
6225342541222123105
711606346665300000
oct1145161077151261
9175176245872145
1042140222411441
1112477627a5a000
124887083280495
131a68a627c400b
14a59851d30c37
154d126d20092b
hex265388fcd2b1

42140222411441 has 48 divisors (see below), whose sum is σ = 54075827426688. Its totient is φ = 32836519512720.

The previous prime is 42140222411393. The next prime is 42140222411449. The reversal of 42140222411441 is 14411422204124.

It is a happy number.

42140222411441 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 42140222411441 - 214 = 42140222395057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42140222411398 and 42140222411407.

It is not an unprimeable number, because it can be changed into a prime (42140222411449) 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 47 ways as a sum of consecutive naturals, for example, 21428231 + ... + 23312003.

It is an arithmetic number, because the mean of its divisors is an integer number (1126579738056).

Almost surely, 242140222411441 is an apocalyptic number.

It is an amenable number.

42140222411441 is a deficient number, since it is larger than the sum of its proper divisors (11935605015247).

42140222411441 is an frugal number, since it uses more digits than its factorization.

42140222411441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883841 (or 1883791 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 42140222411441 its reverse (14411422204124), we get a palindrome (56551644615565).

The spelling of 42140222411441 in words is "forty-two trillion, one hundred forty billion, two hundred twenty-two million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 7 11 49 77 121 343 539 847 1331 2401 3773 5929 9317 16807 26411 41503 65219 184877 290521 456533 1883773 2033647 3195731 13186411 20721503 22370117 92304877 145050521 227936533 646134139 1015353647 1595555731 2507301863 4522938973 7107475529 11168890117 17551113041 31660572811 49752328703 78182230819 122857791287 348266300921 547275615733 860004539009 3830929310131 6020031773063 42140222411441