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13454443332 = 22331119956911
BaseRepresentation
bin11001000011111001…
…01000001101000100
31021201122220112112000
430201330220031010
5210023314141312
610103023225300
7654261611211
oct144174501504
937648815460
1013454443332
115784756460
122735a48230
131365595c95
14918c62b08
1553b2bbadc
hex321f28344

13454443332 has 96 divisors (see below), whose sum is σ = 38244864000. Its totient is φ = 4056544800.

The previous prime is 13454443307. The next prime is 13454443337. The reversal of 13454443332 is 23334445431.

It is a happy number.

13454443332 is a `hidden beast` number, since 134 + 54 + 443 + 3 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13454443337) 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, 207957 + ... + 264867.

It is an arithmetic number, because the mean of its divisors is an integer number (398384000).

Almost surely, 213454443332 is an apocalyptic number.

13454443332 is a gapful number since it is divisible by the number (12) 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 13454443332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122432000).

13454443332 is an abundant number, since it is smaller than the sum of its proper divisors (24790420668).

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

13454443332 is a wasteful number, since it uses less digits than its factorization.

13454443332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57134 (or 57126 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 13454443332 its reverse (23334445431), we get a palindrome (36788888763).

The spelling of 13454443332 in words is "thirteen billion, four hundred fifty-four million, four hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 199 297 396 398 594 597 796 1188 1194 1791 2189 2388 3582 4378 5373 6567 7164 8756 10746 13134 19701 21492 26268 39402 56911 59103 78804 113822 118206 170733 227644 236412 341466 512199 626021 682932 1024398 1252042 1536597 1878063 2048796 2504084 3073194 3756126 5634189 6146388 7512252 11268378 11325289 16902567 22536756 22650578 33805134 33975867 45301156 67610268 67951734 101927601 124578179 135903468 203855202 249156358 305782803 373734537 407710404 498312716 611565606 747469074 1121203611 1223131212 1494938148 2242407222 3363610833 4484814444 6727221666 13454443332