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13241423440 = 245743975669
BaseRepresentation
bin11000101010100000…
…00001011001010000
31021011211002000011101
430111100001121100
5204104301022230
610025533354144
7646064146030
oct142520013120
937154060141
1013241423440
115685490463
122696638954
1313304006cb
148d88518c0
1552773eaca
hex315401650

13241423440 has 160 divisors (see below), whose sum is σ = 36380171520. Its totient is φ = 4387848192.

The previous prime is 13241423423. The next prime is 13241423453. The reversal of 13241423440 is 4432414231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13241423399 and 13241423408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2332926 + ... + 2338594.

It is an arithmetic number, because the mean of its divisors is an integer number (227376072).

Almost surely, 213241423440 is an apocalyptic number.

13241423440 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 13241423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190085760).

13241423440 is an abundant number, since it is smaller than the sum of its proper divisors (23138748080).

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

13241423440 is a wasteful number, since it uses less digits than its factorization.

13241423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13241423440 its reverse (4432414231), we get a palindrome (17673837671).

The spelling of 13241423440 in words is "thirteen billion, two hundred forty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 97 112 140 172 194 215 280 301 344 388 430 485 560 602 679 688 776 860 970 1204 1358 1505 1552 1720 1940 2408 2716 3010 3395 3440 3880 4171 4816 5432 5669 6020 6790 7760 8342 10864 11338 12040 13580 16684 20855 22676 24080 27160 28345 29197 33368 39683 41710 45352 54320 56690 58394 66736 79366 83420 90704 113380 116788 145985 158732 166840 198415 226760 233576 243767 291970 317464 333680 396830 453520 467152 487534 549893 583940 634928 793660 975068 1099786 1167880 1218835 1587320 1706369 1950136 2199572 2335760 2437670 2749465 3174640 3412738 3849251 3900272 4399144 4875340 5498930 6825476 7698502 8531845 8798288 9750680 10997860 13650952 15397004 17063690 19246255 19501360 21995720 23645399 27301904 30794008 34127380 38492510 43991440 47290798 61588016 68254760 76985020 94581596 118226995 136509520 153970040 165517793 189163192 236453990 307940080 331035586 378326384 472907980 662071172 827588965 945815960 1324142344 1655177930 1891631920 2648284688 3310355860 6620711720 13241423440