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3412233131412 = 22372910313599539
BaseRepresentation
bin110001101001111000111…
…100011001010110010100
3110002012120101122002222010
4301221320330121112110
5421401223140201122
611131320330104220
7501345214026210
oct61517074312624
913065511562863
103412233131412
1110a6135711836
12471391b7b070
131b9a066ba431
14bb21da41940
155db600ade0c
hex31a78f19594

3412233131412 has 96 divisors (see below), whose sum is σ = 9504446515200. Its totient is φ = 932166732672.

The previous prime is 3412233131389. The next prime is 3412233131429. The reversal of 3412233131412 is 2141313322143.

3412233131412 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 2×34122331314122 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3412233131412.

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, 6548862 + ... + 7050677.

It is an arithmetic number, because the mean of its divisors is an integer number (99004651200).

Almost surely, 23412233131412 is an apocalyptic number.

It is an amenable number.

3412233131412 is an abundant number, since it is smaller than the sum of its proper divisors (6092213383788).

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

3412233131412 is a wasteful number, since it uses less digits than its factorization.

3412233131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13599685 (or 13599683 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 3412233131412 its reverse (2141313322143), we get a palindrome (5553546453555).

The spelling of 3412233131412 in words is "three trillion, four hundred twelve billion, two hundred thirty-three million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 103 116 174 203 206 309 348 406 412 609 618 721 812 1218 1236 1442 2163 2436 2884 2987 4326 5974 8652 8961 11948 17922 20909 35844 41818 62727 83636 125454 250908 13599539 27199078 40798617 54398156 81597234 95196773 163194468 190393546 285590319 380787092 394386631 571180638 788773262 1142361276 1183159893 1400752517 1577546524 2366319786 2760706417 2801505034 4202257551 4732639572 5521412834 5603010068 8282119251 8404515102 9805267619 11042825668 16564238502 16809030204 19610535238 29415802857 33128477004 39221070476 40621822993 58831605714 81243645986 117663211428 121865468979 162487291972 243730937958 284352760951 487461875916 568705521902 853058282853 1137411043804 1706116565706 3412233131412