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14261441320 = 2357376122567
BaseRepresentation
bin11010100100000110…
…00101001100101000
31100210220102021122101
431102003011030220
5213201412110240
610315052103144
71013261152060
oct152203051450
940726367571
1014261441320
116059236a45
122920164ab4
131463829199
149940d03a0
1558707739a
hex3520c5328

14261441320 has 128 divisors (see below), whose sum is σ = 38282549760. Its totient is φ = 4679285760.

The previous prime is 14261441317. The next prime is 14261441351. The reversal of 14261441320 is 2314416241.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620677 + ... + 643243.

It is an arithmetic number, because the mean of its divisors is an integer number (299082420).

Almost surely, 214261441320 is an apocalyptic number.

14261441320 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 14261441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19141274880).

14261441320 is an abundant number, since it is smaller than the sum of its proper divisors (24021108440).

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

14261441320 is a wasteful number, since it uses less digits than its factorization.

14261441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22683 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14261441320 its reverse (2314416241), we get a palindrome (16575857561).

The spelling of 14261441320 in words is "fourteen billion, two hundred sixty-one million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 61 70 74 122 140 148 185 244 259 280 296 305 370 427 488 518 610 740 854 1036 1220 1295 1480 1708 2072 2135 2257 2440 2590 3416 4270 4514 5180 8540 9028 10360 11285 15799 17080 18056 22567 22570 31598 45134 45140 63196 78995 90268 90280 112835 126392 157969 157990 180536 225670 315938 315980 451340 631876 631960 789845 834979 902680 1263752 1376587 1579690 1669958 2753174 3159380 3339916 4174895 5506348 5844853 6318760 6679832 6882935 8349790 9636109 11012696 11689706 13765870 16699580 19272218 23379412 27531740 29224265 33399160 38544436 46758824 48180545 50933719 55063480 58448530 77088872 96361090 101867438 116897060 192722180 203734876 233794120 254668595 356536033 385444360 407469752 509337190 713072066 1018674380 1426144132 1782680165 2037348760 2852288264 3565360330 7130720660 14261441320