Search a number
-
+
4034246424304 = 24237310113710853
BaseRepresentation
bin111010101101001011110…
…100110011011011110000
3112021200002120101022100111
4322231023310303123300
51012044114041034204
612325150205431104
7564315246545545
oct72551364633360
915250076338314
104034246424304
111315a06a30078
12551a44b6b494
13233573b72225
14dd389726bcc
156ee177d3d04
hex3ab4bd336f0

4034246424304 has 160 divisors (see below), whose sum is σ = 8411505450624. Its totient is φ = 1870224998400.

The previous prime is 4034246424293. The next prime is 4034246424353.

4034246424304 is nontrivially palindromic in base 10.

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, 371711742 + ... + 371722594.

Almost surely, 24034246424304 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 4034246424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205752725312).

4034246424304 is an abundant number, since it is smaller than the sum of its proper divisors (4377259026320).

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

4034246424304 is a wasteful number, since it uses less digits than its factorization.

4034246424304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

The spelling of 4034246424304 in words is "four trillion, thirty-four billion, two hundred forty-six million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 23 46 73 92 101 137 146 184 202 274 292 368 404 548 584 808 1096 1168 1616 1679 2192 2323 3151 3358 4646 6302 6716 7373 9292 10001 10853 12604 13432 13837 14746 18584 20002 21706 25208 26864 27674 29492 37168 40004 43412 50416 55348 58984 80008 86824 110696 117968 160016 169579 173648 221392 230023 249619 318251 339158 460046 499238 636502 678316 792269 920092 998476 1010101 1096153 1273004 1356632 1486861 1584538 1840184 1996952 2020202 2192306 2546008 2713264 2973722 3169076 3680368 3993904 4040404 4384612 5092016 5947444 6338152 8080808 8769224 11894888 12676304 16161616 17538448 18222187 23232323 23789776 25211519 34197803 36444374 46464646 50423038 68395606 72888748 80019169 92929292 100846076 108540853 136791212 145777496 150172961 160038338 185858584 201692152 217081706 273582424 291554992 300345922 320076676 371717168 403384304 434163412 547164848 600691844 640153352 868326824 1201383688 1280306704 1736653648 1840440887 2402767376 2496439619 3453978103 3680881774 4992879238 6907956206 7361763548 9985758476 10962626153 13815912412 14723527096 19971516952 21925252306 27631824824 29447054192 39943033904 43850504612 55263649648 87701009224 175402018448 252140401519 504280803038 1008561606076 2017123212152 4034246424304