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4344330334434 = 2317190736316151
BaseRepresentation
bin111111001101111110010…
…001000011000011100010
3120101022110211222001021120
4333031332101003003202
51032134142031200214
613123431404033110
7625603361363136
oct77157621030342
916338424861246
104344330334434
1114254692432a2
125a1b63532796
1325688cb8a35c
141103a3bd13c6
15780153c7ea9
hex3f37e4430e2

4344330334434 has 64 divisors (see below), whose sum is σ = 9208614408192. Its totient is φ = 1361615904000.

The previous prime is 4344330334403. The next prime is 4344330334457.

4344330334434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×43443303344342 (a number of 26 digits) contains 22 as substring.

It is a Curzon 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, 706277259 + ... + 706283409.

It is an arithmetic number, because the mean of its divisors is an integer number (143884600128).

Almost surely, 24344330334434 is an apocalyptic number.

4344330334434 is an abundant number, since it is smaller than the sum of its proper divisors (4864284073758).

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

4344330334434 is a wasteful number, since it uses less digits than its factorization.

4344330334434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11711.

The product of its (nonzero) digits is 2985984, while the sum is 42.

It can be divided in two parts, 4344330 and 334434, that added together give a palindrome (4678764).

The spelling of 4344330334434 in words is "four trillion, three hundred forty-four billion, three hundred thirty million, three hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 17 34 51 102 1907 3631 3814 5721 6151 7262 10893 11442 12302 18453 21786 32419 36906 61727 64838 97257 104567 123454 185181 194514 209134 313701 370362 627402 6924317 11729957 13848634 20772951 22334281 23459914 35189871 41545902 44668562 67002843 70379742 117713389 134005686 199409269 235426778 353140167 379682777 398818538 598227807 706280334 759365554 1139048331 1196455614 2278096662 42591473867 85182947734 127774421601 255548843202 724055055739 1448110111478 2172165167217 4344330334434