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13004044240 = 24511210311303
BaseRepresentation
bin11000001110001100…
…11111011111010000
31020120021101220010011
430013012133133100
5203113013403430
65550213444304
7640152360265
oct140706373720
936507356104
1013004044240
115573497a00
12262b040694
1312c3189745
148b50dd26c
155119a022a
hex30719f7d0

13004044240 has 120 divisors (see below), whose sum is σ = 33290619264. Its totient is φ = 4720531200.

The previous prime is 13004044189. The next prime is 13004044241. The reversal of 13004044240 is 4244040031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004044241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9979429 + ... + 9980731.

Almost surely, 213004044240 is an apocalyptic number.

13004044240 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 13004044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645309632).

13004044240 is an abundant number, since it is smaller than the sum of its proper divisors (20286575024).

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

13004044240 is a wasteful number, since it uses less digits than its factorization.

13004044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 13004044240 its reverse (4244040031), we get a palindrome (17248084271).

The spelling of 13004044240 in words is "thirteen billion, four million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1031 1210 1303 1936 2062 2420 2606 4124 4840 5155 5212 6515 8248 9680 10310 10424 11341 13030 14333 16496 20620 20848 22682 26060 28666 41240 45364 52120 56705 57332 71665 82480 90728 104240 113410 114664 124751 143330 157663 181456 226820 229328 249502 286660 315326 453640 499004 573320 623755 630652 788315 907280 998008 1146640 1247510 1261304 1343393 1576630 1996016 2495020 2522608 2686786 3153260 4990040 5373572 6306520 6716965 9980080 10747144 12613040 13433930 14777323 21494288 26867860 29554646 53735720 59109292 73886615 107471440 118218584 147773230 162550553 236437168 295546460 325101106 591092920 650202212 812752765 1182185840 1300404424 1625505530 2600808848 3251011060 6502022120 13004044240