Search a number
-
+
13441312320 = 263531451657
BaseRepresentation
bin11001000010010101…
…00010011001000000
31021200202012102011020
430201022202121000
5210011433443240
610101433545440
7654042161322
oct144112423100
937622172136
1013441312320
1157782a7987
122731575280
131362949257
14917205612
1553a0760d0
hex3212a2640

13441312320 has 112 divisors (see below), whose sum is σ = 44052914688. Its totient is φ = 3468718080.

The previous prime is 13441312303. The next prime is 13441312321. The reversal of 13441312320 is 2321314431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13441312321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 196069 + ... + 255588.

Almost surely, 213441312320 is an apocalyptic number.

13441312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441312320 is an abundant number, since it is smaller than the sum of its proper divisors (30611602368).

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

13441312320 is a wasteful number, since it uses less digits than its factorization.

13441312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451708 (or 451698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13441312320 its reverse (2321314431), we get a palindrome (15762626751).

The spelling of 13441312320 in words is "thirteen billion, four hundred forty-one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 451657 903314 1354971 1806628 2258285 2709942 3613256 4516570 5419884 6774855 7226512 9033140 10839768 13549710 14001367 14453024 18066280 21679536 27099420 28002734 28906048 36132560 42004101 43359072 54198840 56005468 70006835 72265120 84008202 86718144 108397680 112010936 140013670 144530240 168016404 210020505 216795360 224021872 280027340 336032808 420041010 433590720 448043744 560054680 672065616 840082020 896087488 1120109360 1344131232 1680164040 2240218720 2688262464 3360328080 4480437440 6720656160 13441312320