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13244343400 = 23522112831109
BaseRepresentation
bin11000101010110110…
…01010010001101000
31021012000120100121001
430111123022101220
5204111022442100
610030120124344
7646131030031
oct142533122150
937160510531
1013244343400
1156870a5252
1226976066b4
131330bb37b2
148d8db1a88
15527b19d6a
hex3156ca468

13244343400 has 96 divisors (see below), whose sum is σ = 31076359200. Its totient is φ = 5249260800.

The previous prime is 13244343367. The next prime is 13244343401. The reversal of 13244343400 is 434344231.

It is not an unprimeable number, because it can be changed into a prime (13244343401) 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, 11942046 + ... + 11943154.

It is an arithmetic number, because the mean of its divisors is an integer number (323712075).

Almost surely, 213244343400 is an apocalyptic number.

13244343400 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 13244343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15538179600).

13244343400 is an abundant number, since it is smaller than the sum of its proper divisors (17832015800).

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

13244343400 is a wasteful number, since it uses less digits than its factorization.

13244343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13244343400 its reverse (434344231), we get a palindrome (13678687631).

The spelling of 13244343400 in words is "thirteen billion, two hundred forty-four million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 283 422 566 844 1055 1109 1132 1415 1688 2110 2218 2264 2830 4220 4436 5275 5545 5660 7075 8440 8872 10550 11090 11320 14150 21100 22180 27725 28300 42200 44360 55450 56600 59713 110900 119426 221800 233999 238852 298565 313847 467998 477704 597130 627694 935996 1169995 1194260 1255388 1492825 1569235 1871992 2339990 2388520 2510776 2985650 3138470 4679980 5849975 5971300 6276940 7846175 9359960 11699950 11942600 12553880 15692350 23399900 31384700 46799800 62769400 66221717 132443434 264886868 331108585 529773736 662217170 1324434340 1655542925 2648868680 3311085850 6622171700 13244343400