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4344670764434 = 2711213607325021
BaseRepresentation
bin111111001110010010100…
…011101011110110010010
3120101100100120112200110002
4333032102203223312102
51032140341203430214
613123525244410002
7625614664111340
oct77162243536622
916340316480402
104344670764434
111425623421400
125a2039546902
13256915572620
141103d70ca990
15780352211de
hex3f3928ebd92

4344670764434 has 96 divisors (see below), whose sum is σ = 8830946546688. Its totient is φ = 1559939990400.

The previous prime is 4344670764431. The next prime is 4344670764443.

4344670764434 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4344670764434.

It is not an unprimeable number, because it can be changed into a prime (4344670764431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13204844 + ... + 13529864.

It is an arithmetic number, because the mean of its divisors is an integer number (91989026528).

Almost surely, 24344670764434 is an apocalyptic number.

4344670764434 is an abundant number, since it is smaller than the sum of its proper divisors (4486275782254).

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

4344670764434 is a wasteful number, since it uses less digits than its factorization.

4344670764434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325672 (or 325661 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 56.

The spelling of 4344670764434 in words is "four trillion, three hundred forty-four billion, six hundred seventy million, seven hundred sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 607 847 1001 1214 1573 1694 2002 3146 4249 6677 7891 8498 11011 13354 15782 22022 46739 55237 73447 86801 93478 110474 146894 173602 325021 514129 607607 650042 954811 1028258 1215214 1909622 2275147 3575231 4225273 4550294 6683677 7150462 8450546 13367354 25026617 29576911 39327541 46478003 50053234 59153822 78655082 92956006 197287747 275292787 325346021 394575494 511258033 550585574 650692042 1022516066 1381014229 2170165217 2564740711 2762028458 3578806231 4340330434 5129481422 7157612462 15191156519 17953184977 23871817387 28212147821 30382313038 35906369954 47743634774 56424295642 167102721709 197485034747 310333626031 334205443418 394970069494 620667252062 2172335382217 4344670764434