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13444034240 = 265713461677
BaseRepresentation
bin11001000010101001…
…11010111011000000
31021200221022200221002
430201110322323000
5210013133043430
610102012151132
7654104256050
oct144124727300
937627280832
1013444034240
1157798969aa
1227324684a8
131363390160
14917713560
1553a412845
hex32153aec0

13444034240 has 112 divisors (see below), whose sum is σ = 39401447232. Its totient is φ = 4254806016.

The previous prime is 13444034203. The next prime is 13444034243. The reversal of 13444034240 is 4243044431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (13444034243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201719 + ... + 259958.

It is an arithmetic number, because the mean of its divisors is an integer number (351798636).

Almost surely, 213444034240 is an apocalyptic number.

13444034240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444034240 is an abundant number, since it is smaller than the sum of its proper divisors (25957412992).

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

13444034240 is a wasteful number, since it uses less digits than its factorization.

13444034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461714 (or 461704 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 13444034240 its reverse (4243044431), we get a palindrome (17687078671).

The spelling of 13444034240 in words is "thirteen billion, four hundred forty-four million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 461677 923354 1846708 2308385 3231739 3693416 4616770 6001801 6463478 7386832 9233540 12003602 12926956 14773664 16158695 18467080 24007204 25853912 29547328 30009005 32317390 36934160 42012607 48014408 51707824 60018010 64634780 73868320 84025214 96028816 103415648 120036020 129269560 147736640 168050428 192057632 206831296 210063035 240072040 258539120 336100856 384115264 420126070 480144080 517078240 672201712 840252140 960288160 1034156480 1344403424 1680504280 1920576320 2688806848 3361008560 6722017120 13444034240