Search a number
-
+
14010403440 = 24351129182999
BaseRepresentation
bin11010000110001010…
…11100101001110000
31100011102001020102010
431003011130221300
5212143130402230
610234123322520
71004122315155
oct150305345160
940142036363
1014010403440
115a3a564520
122870080440
131423812267
1496ca2422c
1556eeda9b0
hex34315ca70

14010403440 has 160 divisors (see below), whose sum is σ = 49014720000. Its totient is φ = 3279324160.

The previous prime is 14010403427. The next prime is 14010403481. The reversal of 14010403440 is 4430401041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14940 + ... + 168059.

It is an arithmetic number, because the mean of its divisors is an integer number (306342000).

Almost surely, 214010403440 is an apocalyptic number.

14010403440 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 14010403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360000).

14010403440 is an abundant number, since it is smaller than the sum of its proper divisors (35004316560).

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

14010403440 is a wasteful number, since it uses less digits than its factorization.

14010403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183055 (or 183049 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14010403440 its reverse (4430401041), we get a palindrome (18440804481).

The spelling of 14010403440 in words is "fourteen billion, ten million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 870 880 957 1160 1276 1320 1392 1595 1740 1914 2320 2552 2640 3190 3480 3828 4785 5104 6380 6960 7656 9570 12760 15312 19140 25520 38280 76560 182999 365998 548997 731996 914995 1097994 1463992 1829990 2012989 2195988 2744985 2927984 3659980 4025978 4391976 5306971 5489970 6038967 7319960 8051956 8783952 10064945 10613942 10979940 12077934 14639920 15920913 16103912 20129890 21227884 21959880 24155868 26534855 30194835 31841826 32207824 40259780 42455768 43919760 48311736 53069710 58376681 60389670 63683652 79604565 80519560 84911536 96623472 106139420 116753362 120779340 127367304 159209130 161039120 175130043 212278840 233506724 241558680 254734608 291883405 318418260 350260086 424557680 467013448 483117360 583766810 636836520 700520172 875650215 934026896 1167533620 1273673040 1401040344 1751300430 2335067240 2802080688 3502600860 4670134480 7005201720 14010403440