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42122142334041 = 37111793481114743
BaseRepresentation
bin10011001001111010100110…
…10101001011110001011001
312112010211121112010022121020
421210331103111023301121
521010112121414142131
6225330351155233053
711605136645210040
oct1144752325136131
9175124545108536
1042122142334041
111246a99a253280
1248836782a8789
131a67140b07073
14a58a18a1b557
154d0a60cca996
hex264f5354bc59

42122142334041 has 64 divisors (see below), whose sum is σ = 74141558378496. Its totient is φ = 20594077747200.

The previous prime is 42122142334021. The next prime is 42122142334043. The reversal of 42122142334041 is 14043324122124.

It is not a de Polignac number, because 42122142334041 - 222 = 42122138139737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42122142333993 and 42122142334011.

It is not an unprimeable number, because it can be changed into a prime (42122142334043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367042516 + ... + 367157258.

It is an arithmetic number, because the mean of its divisors is an integer number (1158461849664).

Almost surely, 242122142334041 is an apocalyptic number.

It is an amenable number.

42122142334041 is a deficient number, since it is larger than the sum of its proper divisors (32019416044455).

42122142334041 is a wasteful number, since it uses less digits than its factorization.

42122142334041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208262.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42122142334041 its reverse (14043324122124), we get a palindrome (56165466456165).

The spelling of 42122142334041 in words is "forty-two trillion, one hundred twenty-two billion, one hundred forty-two million, three hundred thirty-four thousand, forty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1309 3927 93481 114743 280443 344229 654367 803201 1028291 1262173 1589177 1950631 1963101 2409603 3084873 3786519 4767531 5851893 7198037 8835211 11124239 13654417 17480947 21456941 21594111 26505633 33372717 40963251 52442841 64370823 122366629 150198587 367099887 450595761 10726290383 32178871149 75084032681 117989194213 182346936511 225252098043 353967582639 547040809533 825924359491 1276428555577 2005816301621 2477773078473 3829285666731 6017448904863 14040714111347 42122142334041