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14246210840 = 2356129319927
BaseRepresentation
bin11010100010010001…
…11110110100011000
31100202211202111100112
431101020332310120
5213134012221330
610313345423452
71013014536251
oct152110766430
940684674315
1014246210840
116050684074
12291703ab88
131460625974
14992087b28
15585a69795
hex35123ed18

14246210840 has 64 divisors (see below), whose sum is σ = 32692282560. Its totient is φ = 5585656320.

The previous prime is 14246210813. The next prime is 14246210941. The reversal of 14246210840 is 4801264241.

It is a junction number, because it is equal to n+sod(n) for n = 14246210797 and 14246210806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704957 + ... + 724883.

It is an arithmetic number, because the mean of its divisors is an integer number (510816915).

Almost surely, 214246210840 is an apocalyptic number.

14246210840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14246210840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346141280).

14246210840 is an abundant number, since it is smaller than the sum of its proper divisors (18446071720).

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

14246210840 is a wasteful number, since it uses less digits than its factorization.

14246210840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20292 (or 20288 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 14246210840 in words is "fourteen billion, two hundred forty-six million, two hundred ten thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 293 305 488 586 610 1172 1220 1465 2344 2440 2930 5860 11720 17873 19927 35746 39854 71492 79708 89365 99635 142984 159416 178730 199270 357460 398540 714920 797080 1215547 2431094 4862188 5838611 6077735 9724376 11677222 12155470 23354444 24310940 29193055 46708888 48621880 58386110 116772220 233544440 356155271 712310542 1424621084 1780776355 2849242168 3561552710 7123105420 14246210840