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413244031340 = 225721926338429
BaseRepresentation
bin1100000001101110100…
…00111000000101101100
31110111122200112212112002
412000313100320011230
523232310433000330
6513501445431432
741566400211200
oct6006720700554
91414580485462
10413244031340
1114a28a534148
126810a70b578
132cc79442a8a
14160030d2b00
15ab394a0e45
hex603743816c

413244031340 has 144 divisors (see below), whose sum is σ = 1063157205600. Its totient is φ = 134159735808.

The previous prime is 413244031339. The next prime is 413244031349. The reversal of 413244031340 is 43130442314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (413244031349) 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, 49022246 + ... + 49030674.

It is an arithmetic number, because the mean of its divisors is an integer number (7383036150).

Almost surely, 2413244031340 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 413244031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531578602800).

413244031340 is an abundant number, since it is smaller than the sum of its proper divisors (649913174260).

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

413244031340 is a wasteful number, since it uses less digits than its factorization.

413244031340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11095 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 413244031340 its reverse (43130442314), we get a palindrome (456374473654).

The spelling of 413244031340 in words is "four hundred thirteen billion, two hundred forty-four million, thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2633 2660 3724 4655 5266 8429 9310 10532 13165 16858 18431 18620 26330 33716 36862 42145 50027 52660 59003 73724 84290 92155 100054 118006 129017 160151 168580 184310 200108 236012 250135 258034 295015 320302 350189 368620 413021 500270 516068 590030 640604 645085 700378 800755 826042 1000540 1121057 1180060 1290170 1400756 1601510 1652084 1750945 2065105 2242114 2451323 2580340 3203020 3501890 4130210 4484228 4902646 5605285 7003780 7847399 8260420 9805292 11210570 12256615 15694798 22193557 22421140 24513230 31389596 39236995 44387114 49026460 78473990 88774228 110967785 155354899 156947980 221935570 310709798 421677583 443871140 621419596 776774495 843355166 1087484293 1553548990 1686710332 2108387915 2174968586 2951743081 3107097980 4216775830 4349937172 5437421465 5903486162 8433551660 10874842930 11806972324 14758715405 20662201567 21749685860 29517430810 41324403134 59034861620 82648806268 103311007835 206622015670 413244031340