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431300012243340 = 2235411341113073239
BaseRepresentation
bin110001000010000111101110…
…0000001010111100110001100
32002120002212201102100100120010
41202010033130001113212030
5423012404411113241330
64125144253524153220
7156563253241145142
oct14204173401274614
92076085642310503
10431300012243340
11115475342a414a9
12404589b9538810
13156875554800c6
147871063a49592
1534ce182e4a3b0
hex18843dc05798c

431300012243340 has 96 divisors (see below), whose sum is σ = 1237187008673280. Its totient is φ = 112199757811200.

The previous prime is 431300012243293. The next prime is 431300012243341. The reversal of 431300012243340 is 43342210003134.

It is a happy number.

It is a super-2 number, since 2×4313000122433402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 431300012243298 and 431300012243307.

It is not an unprimeable number, because it can be changed into a prime (431300012243341) 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, 26454441 + ... + 39527679.

It is an arithmetic number, because the mean of its divisors is an integer number (12887364673680).

Almost surely, 2431300012243340 is an apocalyptic number.

It is an amenable number.

431300012243340 is an abundant number, since it is smaller than the sum of its proper divisors (805886996429940).

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

431300012243340 is a wasteful number, since it uses less digits than its factorization.

431300012243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13086703 (or 13086701 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 431300012243340 its reverse (43342210003134), we get a palindrome (474642222246474).

The spelling of 431300012243340 in words is "four hundred thirty-one trillion, three hundred billion, twelve million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 13411 26822 40233 53644 67055 80466 134110 160932 201165 268220 402330 549851 804660 1099702 1649553 2199404 2749255 3299106 5498510 6598212 8247765 10997020 13073239 16495530 26146478 32991060 39219717 52292956 65366195 78439434 130732390 156878868 196098585 261464780 392197170 536002799 784394340 1072005598 1608008397 2144011196 2680013995 3216016794 5360027990 6432033588 8040041985 10720055980 16080083970 32160167940 175325208229 350650416458 525975624687 701300832916 876626041145 1051951249374 1753252082290 2103902498748 2629878123435 3506504164580 5259756246870 7188333537389 10519512493740 14376667074778 21565000612167 28753334149556 35941667686945 43130001224334 71883335373890 86260002448668 107825003060835 143766670747780 215650006121670 431300012243340