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13244110440 = 23351117590201
BaseRepresentation
bin11000101010110100…
…10001011001101000
31021012000010112000220
430111122101121220
5204110443013230
610030111130040
7646126036611
oct142532213150
937160115026
1013244110440
115686a56220
122697513920
131330b31752
148d8d50c08
15527ac0d10
hex315691668

13244110440 has 128 divisors (see below), whose sum is σ = 45894107520. Its totient is φ = 3021824000.

The previous prime is 13244110433. The next prime is 13244110441. The reversal of 13244110440 is 4401144231.

It is a super-2 number, since 2×132441104402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13244110440.

It is not an unprimeable number, because it can be changed into a prime (13244110441) 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, 272661 + ... + 317540.

It is an arithmetic number, because the mean of its divisors is an integer number (358547715).

Almost surely, 213244110440 is an apocalyptic number.

13244110440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13244110440 is an abundant number, since it is smaller than the sum of its proper divisors (32649997080).

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

13244110440 is a wasteful number, since it uses less digits than its factorization.

13244110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590243 (or 590239 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13244110440 its reverse (4401144231), we get a palindrome (17645254671).

The spelling of 13244110440 in words is "thirteen billion, two hundred forty-four million, one hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 590201 1180402 1770603 2360804 2951005 3541206 4721608 5902010 6492211 7082412 8853015 10033417 11804020 12984422 14164824 17706030 19476633 20066834 23608040 25968844 30100251 32461055 35412060 38953266 40133668 50167085 51937688 60200502 64922110 70824120 77906532 80267336 97383165 100334170 110367587 120401004 129844220 150501255 155813064 194766330 200668340 220735174 240802008 259688440 301002510 331102761 389532660 401336680 441470348 551837935 602005020 662205522 779065320 882940696 1103675870 1204010040 1324411044 1655513805 2207351740 2648822088 3311027610 4414703480 6622055220 13244110440