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61140322304116 = 221129151317321941
BaseRepresentation
bin11011110011011010101110…
…01100010100000001110100
322000110221212011222120022221
431321231113030110001310
531003210340002212431
6334011250514532124
715610146116540056
oct1571552714240164
9260427764876287
1061140322304116
1118532513019a80
126a354a2297044
13281667a415bc3
1411152c91098d6
157106004a3111
hex379b57314074

61140322304116 has 48 divisors (see below), whose sum is σ = 121546996663680. Its totient is φ = 26655042960000.

The previous prime is 61140322304107. The next prime is 61140322304141.

61140322304116 is nontrivially palindromic in base 10.

61140322304116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×611403223041162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 158468295 + ... + 158853646.

It is an arithmetic number, because the mean of its divisors is an integer number (2532229097160).

Almost surely, 261140322304116 is an apocalyptic number.

It is an amenable number.

61140322304116 is a deficient number, since it is larger than the sum of its proper divisors (60406674359564).

61140322304116 is a wasteful number, since it uses less digits than its factorization.

61140322304116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317322136 (or 317322134 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 6114032 and 2304116, that added together give a palindrome (8418148).

The spelling of 61140322304116 in words is "sixty-one trillion, one hundred forty billion, three hundred twenty-two million, three hundred four thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 29 44 58 116 151 302 319 604 638 1276 1661 3322 4379 6644 8758 17516 48169 96338 192676 317321941 634643882 1269287764 3490541351 6981082702 9202336289 13962165404 18404672578 36809345156 47915613091 95831226182 101225699179 191662452364 202451398358 404902796716 527071744001 1054143488002 1389552779639 2108286976004 2779105559278 5558211118556 15285080576029 30570161152058 61140322304116