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3132344123304 = 2331119739845021
BaseRepresentation
bin101101100101001110010…
…000100011111110101000
3102002110010110002022201120
4231211032100203332220
5402310020043421204
610354551245215240
7442206256513134
oct55451620437650
912073113068646
103132344123304
11aa84686633a0
1242709b861520
131994c0258136
14ab86b8383c4
155672d2926d9
hex2d94e423fa8

3132344123304 has 128 divisors (see below), whose sum is σ = 9004554432000. Its totient is φ = 898019654400.

The previous prime is 3132344123261. The next prime is 3132344123371. The reversal of 3132344123304 is 4033214432313.

It is a happy number.

3132344123304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3284314 + ... + 4129334.

It is an arithmetic number, because the mean of its divisors is an integer number (70348081500).

Almost surely, 23132344123304 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 3132344123304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502277216000).

3132344123304 is an abundant number, since it is smaller than the sum of its proper divisors (5872210308696).

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

3132344123304 is a wasteful number, since it uses less digits than its factorization.

3132344123304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845799 (or 845795 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 3132344123304 its reverse (4033214432313), we get a palindrome (7165558555617).

The spelling of 3132344123304 in words is "three trillion, one hundred thirty-two billion, three hundred forty-four million, one hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 739 836 1254 1478 1672 2217 2508 2956 4434 5016 5912 8129 8868 14041 16258 17736 24387 28082 32516 42123 48774 56164 65032 84246 97548 112328 154451 168492 195096 308902 336984 463353 617804 845021 926706 1235608 1690042 1853412 2535063 3380084 3706824 5070126 6760168 9295231 10140252 16055399 18590462 20280504 27885693 32110798 37180924 48166197 55771386 64221596 74361848 96332394 111542772 128443192 176609389 192664788 223085544 353218778 385329576 529828167 624470519 706437556 1059656334 1248941038 1412875112 1873411557 2119312668 2497882076 3746823114 4238625336 4995764152 6869175709 7493646228 11864939861 13738351418 14987292456 20607527127 23729879722 27476702836 35594819583 41215054254 47459759444 54953405672 71189639166 82430108508 94919518888 130514338471 142379278332 164860217016 261028676942 284758556664 391543015413 522057353884 783086030826 1044114707768 1566172061652 3132344123304