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3241313321424 = 243438336175231
BaseRepresentation
bin101111001010101101010…
…101000100000111010000
3102110212101200212010202020
4233022231111010013100
5411101202202241144
610521012213251440
7453114523434243
oct57125525040720
912425350763666
103241313321424
11103a6a6961822
12444231333b80
131a6868021ba9
14b2c47b7325a
15594a9b22419
hex2f2ad5441d0

3241313321424 has 160 divisors (see below), whose sum is σ = 8675408738304. Its totient is φ = 1042109214720.

The previous prime is 3241313321401. The next prime is 3241313321443. The reversal of 3241313321424 is 4241233131423.

It is a super-2 number, since 2×32413133214242 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619632889 + ... + 619638119.

Almost surely, 23241313321424 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 3241313321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337704369152).

3241313321424 is an abundant number, since it is smaller than the sum of its proper divisors (5434095416880).

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

3241313321424 is a wasteful number, since it uses less digits than its factorization.

3241313321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8979 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 3241313321424 its reverse (4241233131423), we get a palindrome (7482546452847).

The spelling of 3241313321424 in words is "three trillion, two hundred forty-one billion, three hundred thirteen million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 83 86 129 166 172 249 258 332 344 498 516 664 688 996 1032 1328 1992 2064 3569 3617 3984 5231 7138 7234 10462 10707 10851 14276 14468 15693 20924 21414 21702 28552 28936 31386 41848 42828 43404 57104 57872 62772 83696 85656 86808 125544 155531 171312 173616 224933 251088 300211 311062 434173 449866 466593 600422 622124 674799 868346 899732 900633 933186 1200844 1244248 1302519 1349598 1736692 1799464 1801266 1866372 2401688 2488496 2605038 2699196 3473384 3598928 3602532 3732744 4803376 5210076 5398392 6946768 7205064 7465488 10420152 10796784 12909073 14410128 18669439 18920527 20840304 25818146 37338878 37841054 38727219 51636292 56008317 56761581 74677756 75682108 77454438 103272584 112016634 113523162 149355512 151364216 154908876 206545168 224033268 227046324 298711024 302728432 309817752 448066536 454092648 619635504 813582661 896133072 908185296 1570403741 1627165322 2440747983 3140807482 3254330644 4711211223 4881495966 6281614964 6508661288 9422422446 9762991932 12563229928 13017322576 18844844892 19525983864 25126459856 37689689784 39051967728 67527360863 75379379568 135054721726 202582082589 270109443452 405164165178 540218886904 810328330356 1080437773808 1620656660712 3241313321424