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4132133144412 = 2237137153295841
BaseRepresentation
bin111100001000010110010…
…101000000011101011100
3112122000202110111220120120
4330020112111000131130
51020200102041110122
612442135321514540
7604352053130310
oct74102625003534
915560673456516
104132133144412
111353478487769
12568a03042a50
1323c8738c43a0
14103dd3c41b40
157274623175c
hex3c21654075c

4132133144412 has 96 divisors (see below), whose sum is σ = 12033774756864. Its totient is φ = 1074444134400.

The previous prime is 4132133144383. The next prime is 4132133144441. The reversal of 4132133144412 is 2144413312314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4132133144383) and next prime (4132133144441).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26570389 + ... + 26725452.

It is an arithmetic number, because the mean of its divisors is an integer number (125351820384).

Almost surely, 24132133144412 is an apocalyptic number.

4132133144412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4132133144412 is an abundant number, since it is smaller than the sum of its proper divisors (7901641612452).

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

4132133144412 is a wasteful number, since it uses less digits than its factorization.

4132133144412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53295939 (or 53295937 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 4132133144412 its reverse (2144413312314), we get a palindrome (6276546456726).

The spelling of 4132133144412 in words is "four trillion, one hundred thirty-two billion, one hundred thirty-three million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 71 78 84 91 142 156 182 213 273 284 364 426 497 546 852 923 994 1092 1491 1846 1988 2769 2982 3692 5538 5964 6461 11076 12922 19383 25844 38766 77532 53295841 106591682 159887523 213183364 319775046 373070887 639550092 692845933 746141774 1119212661 1385691866 1492283548 2078537799 2238425322 2771383732 3784004711 4157075598 4476850644 4849921531 7568009422 8314151196 9699843062 11352014133 14549764593 15136018844 19399686124 22704028266 26488032977 29099529186 45408056532 49192061243 52976065954 58199058372 79464098931 98384122486 105952131908 147576183729 158928197862 196768244972 295152367458 317856395724 344344428701 590304734916 688688857402 1033033286103 1377377714804 2066066572206 4132133144412