Search a number
-
+
41122422114 = 23194310778401
BaseRepresentation
bin100110010011000101…
…100101110101100010
310221010220002111011220
4212103011211311202
51133204320001424
630520312115510
72654023551324
oct462305456542
9127126074156
1041122422114
1116492598424
127b77995b96
133b54783c67
141dc16a5614
15110a2eb579
hex993165d62

41122422114 has 64 divisors (see below), whose sum is σ = 89415912960. Its totient is φ = 12565324800.

The previous prime is 41122422109. The next prime is 41122422149.

It is a happy number.

41122422114 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485314 + ... + 563714.

It is an arithmetic number, because the mean of its divisors is an integer number (1397123640).

Almost surely, 241122422114 is an apocalyptic number.

41122422114 is an abundant number, since it is smaller than the sum of its proper divisors (48293490846).

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

41122422114 is a wasteful number, since it uses less digits than its factorization.

41122422114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78575.

The product of its digits is 1024, while the sum is 24.

The spelling of 41122422114 in words is "forty-one billion, one hundred twenty-two million, four hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 19 38 43 57 86 107 114 129 214 258 321 642 817 1634 2033 2451 4066 4601 4902 6099 9202 12198 13803 27606 78401 87419 156802 174838 235203 262257 470406 524514 1489619 2979238 3371243 4468857 6742486 8388907 8937714 10113729 16777814 20227458 25166721 50333442 64053617 128107234 159389233 192160851 318778466 360723001 384321702 478167699 721446002 956335398 1082169003 2164338006 6853737019 13707474038 20561211057 41122422114