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4024344434204 = 22717313711511231
BaseRepresentation
bin111010100011111101100…
…111101101011000011100
3112020201112111001002112102
4322203331213231120130
51011413324133343304
612320431443424232
7563515002200003
oct72437547553034
915221474032472
104024344434204
111311795578386
1254bb40985078
1323265657c7a3
14dcaca5d7c3a
156ea38335d1e
hex3a8fd9ed61c

4024344434204 has 96 divisors (see below), whose sum is σ = 7304736079872. Its totient is φ = 1939109760000.

The previous prime is 4024344434203. The next prime is 4024344434237.

4024344434204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40243444342042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024344434203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3269166269 + ... + 3269167499.

It is an arithmetic number, because the mean of its divisors is an integer number (76091000832).

Almost surely, 24024344434204 is an apocalyptic number.

It is an amenable number.

4024344434204 is a deficient number, since it is larger than the sum of its proper divisors (3280391645668).

4024344434204 is a wasteful number, since it uses less digits than its factorization.

4024344434204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

The spelling of 4024344434204 in words is "four trillion, twenty-four billion, three hundred forty-four million, four hundred thirty-four thousand, two hundred four".

Divisors: 1 2 4 71 73 137 142 146 274 284 292 548 1151 1231 2302 2462 4604 4924 5183 9727 10001 10366 19454 20002 20732 38908 40004 81721 84023 87401 89863 157687 163442 168046 168647 174802 179726 315374 326884 336092 337294 349604 359452 630748 674588 710071 1416881 1420142 2833762 2840284 5667524 5965633 6380273 11195777 11511151 11931266 11973937 12311231 12760546 22391554 23022302 23862532 23947874 24622462 25521092 44783108 46044604 47895748 49244924 100598551 103432313 194112697 201197102 206864626 388225394 402394204 413729252 776450788 817291721 874097401 1634583442 1748194802 3269166884 3496389604 7343694223 13782001487 14170226881 14687388446 27564002974 28340453762 29374776892 55128005948 56680907524 1006086108551 2012172217102 4024344434204