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13344454144 = 2975876343
BaseRepresentation
bin11000110110110010…
…00011011000000000
31021102222221111201101
430123121003120000
5204312140013034
610044053544144
7651454663060
oct143331033000
937388844641
1013344454144
1157286619aa
122705045054
131348865818
149083d13a0
155317e2514
hex31b643600

13344454144 has 80 divisors (see below), whose sum is σ = 30528546048. Its totient is φ = 5708408832.

The previous prime is 13344454141. The next prime is 13344454159. The reversal of 13344454144 is 44145444331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344454141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2100637 + ... + 2106979.

Almost surely, 213344454144 is an apocalyptic number.

13344454144 is a gapful number since it is divisible by the number (14) 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 13344454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264273024).

13344454144 is an abundant number, since it is smaller than the sum of its proper divisors (17184091904).

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

13344454144 is an frugal number, since it uses more digits than its factorization.

13344454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6939 counting only the distinct ones).

The product of its digits is 184320, while the sum is 37.

Adding to 13344454144 its reverse (44145444331), we get a palindrome (57489898475).

The spelling of 13344454144 in words is "thirteen billion, three hundred forty-four million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 587 896 1174 1792 2348 3584 4109 4696 6343 8218 9392 12686 16436 18784 25372 32872 37568 44401 50744 65744 75136 88802 101488 131488 150272 177604 202976 262976 300544 355208 405952 525952 710416 811904 1051904 1420832 1623808 2103808 2841664 3247616 3723341 5683328 7446682 11366656 14893364 22733312 26063387 29786728 52126774 59573456 104253548 119146912 208507096 238293824 417014192 476587648 834028384 953175296 1668056768 1906350592 3336113536 6672227072 13344454144