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3412412436412 = 22719179199180071
BaseRepresentation
bin110001101010000011101…
…000011000111110111100
3110002020000220000202012001
4301222003220120332330
5421402110040431122
611131350213152044
7501352522061260
oct61520350307674
913066026022161
103412412436412
1110a621794a291
1247142202b624
131b9a348a9b75
14bb2397980a0
155db70bcb527
hex31a83a18fbc

3412412436412 has 96 divisors (see below), whose sum is σ = 7260503040000. Its totient is φ = 1370819609280.

The previous prime is 3412412436409. The next prime is 3412412436427. The reversal of 3412412436412 is 2146342142143.

It is a happy number.

3412412436412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18860337 + ... + 19040407.

It is an arithmetic number, because the mean of its divisors is an integer number (75630240000).

Almost surely, 23412412436412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412412436412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630251520000).

3412412436412 is an abundant number, since it is smaller than the sum of its proper divisors (3848090603588).

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

3412412436412 is a wasteful number, since it uses less digits than its factorization.

3412412436412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180479 (or 180477 counting only the distinct ones).

The product of its digits is 110592, while the sum is 37.

Adding to 3412412436412 its reverse (2146342142143), we get a palindrome (5558754578555).

The spelling of 3412412436412 in words is "three trillion, four hundred twelve billion, four hundred twelve million, four hundred thirty-six thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 179 199 266 358 398 532 716 796 1253 1393 2506 2786 3401 3781 5012 5572 6802 7562 13604 15124 23807 26467 35621 47614 52934 71242 95228 105868 142484 180071 249347 360142 498694 676799 720284 997388 1260497 1353598 2520994 2707196 3421349 4737593 5041988 6842698 9475186 13685396 18950372 23949443 32232709 35834129 47898886 64465418 71668258 95797772 128930836 143336516 225628963 250838903 451257926 501677806 612421471 680848451 902515852 1003355612 1224842942 1361696902 2449685884 2723393804 4286950297 4765939157 6414309091 8573900594 9531878314 12828618182 17147801188 19063756628 25657236364 44900163637 89800327274 121871872729 179600654548 243743745458 487487490916 853103109103 1706206218206 3412412436412