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13004404420 = 22571376071117
BaseRepresentation
bin11000001110001111…
…10111011011000100
31020120022002012012011
430013013313123010
5203113111420140
65550225304004
7640155420340
oct140707673304
936508065164
1013004404420
115573713577
12262b195004
1312c3284677
148b5194620
15511a21cea
hex3071f76c4

13004404420 has 96 divisors (see below), whose sum is σ = 31518369792. Its totient is φ = 4414860288.

The previous prime is 13004404331. The next prime is 13004404421. The reversal of 13004404420 is 2440440031.

It is a super-2 number, since 2×130044044202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13004404391 and 13004404400.

It is not an unprimeable number, because it can be changed into a prime (13004404421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11641702 + ... + 11642818.

It is an arithmetic number, because the mean of its divisors is an integer number (328316352).

Almost surely, 213004404420 is an apocalyptic number.

13004404420 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 13004404420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759184896).

13004404420 is an abundant number, since it is smaller than the sum of its proper divisors (18513965372).

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

13004404420 is a wasteful number, since it uses less digits than its factorization.

13004404420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

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

Adding to 13004404420 its reverse (2440440031), we get a palindrome (15444844451).

The spelling of 13004404420 in words is "thirteen billion, four million, four hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 607 685 959 1117 1214 1370 1918 2234 2428 2740 3035 3836 4249 4468 4795 5585 6070 7819 8498 9590 11170 12140 15638 16996 19180 21245 22340 31276 39095 42490 78190 83159 84980 153029 156380 166318 306058 332636 415795 582113 612116 678019 765145 831590 1071203 1164226 1356038 1530290 1663180 2142406 2328452 2712076 2910565 3060580 3390095 4284812 4746133 5356015 5821130 6780190 9492266 10712030 11642260 13560380 18984532 21424060 23730665 47461330 92888603 94922660 185777206 371554412 464443015 650220221 928886030 1300440442 1857772060 2600880884 3251101105 6502202210 13004404420