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13444533400 = 23522916314221
BaseRepresentation
bin11001000010101101…
…10100110010011000
31021200222021001122111
430201112310302120
5210013300032100
610102031002104
7654111435244
oct144126646230
937628231574
1013444533400
11577a0a7a31
122732669334
13136350640c
14917803424
1553a4b06ba
hex3215b4c98

13444533400 has 96 divisors (see below), whose sum is σ = 32537091600. Its totient is φ = 5160153600.

The previous prime is 13444533341. The next prime is 13444533433. The reversal of 13444533400 is 433544431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 938290 + ... + 952510.

Almost surely, 213444533400 is an apocalyptic number.

13444533400 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 13444533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268545800).

13444533400 is an abundant number, since it is smaller than the sum of its proper divisors (19092558200).

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

13444533400 is a wasteful number, since it uses less digits than its factorization.

13444533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14429 (or 14420 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 13444533400 in words is "thirteen billion, four hundred forty-four million, five hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 163 200 232 290 326 580 652 725 815 1160 1304 1450 1630 2900 3260 4075 4727 5800 6520 8150 9454 14221 16300 18908 23635 28442 32600 37816 47270 56884 71105 94540 113768 118175 142210 189080 236350 284420 355525 412409 472700 568840 711050 824818 945400 1422100 1649636 2062045 2318023 2844200 3299272 4124090 4636046 8248180 9272092 10310225 11590115 16496360 18544184 20620450 23180230 41240900 46360460 57950575 67222667 82481800 92720920 115901150 134445334 231802300 268890668 336113335 463604600 537781336 672226670 1344453340 1680566675 2688906680 3361133350 6722266700 13444533400