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13444435334144 = 21072734675209
BaseRepresentation
bin1100001110100100011011…
…0010101101010000000000
31202121021102210222202101202
43003221012302231100000
53230233200421143034
644332142140120332
72555220432534503
oct303510662552000
952537383882352
1013444435334144
114313831283341
1216117562360a8
13766a60230b89
143469dd86b13a
15184ac213047e
hexc3a46cad400

13444435334144 has 88 divisors (see below), whose sum is σ = 26925639948480. Its totient is φ = 6709746548736.

The previous prime is 13444435334107. The next prime is 13444435334159. The reversal of 13444435334144 is 44143353444431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580998612 + ... + 2581003820.

Almost surely, 213444435334144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444435334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462819974240).

13444435334144 is an abundant number, since it is smaller than the sum of its proper divisors (13481204614336).

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

13444435334144 is an equidigital number, since it uses as much as digits as its factorization.

13444435334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9423 (or 9405 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 47.

Adding to 13444435334144 its reverse (44143353444431), we get a palindrome (57587788778575).

The spelling of 13444435334144 in words is "thirteen trillion, four hundred forty-four billion, four hundred thirty-five million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 727 1024 1454 2908 3467 5209 5816 6934 10418 11632 13868 20836 23264 27736 41672 46528 55472 83344 93056 110944 166688 186112 221888 333376 372224 443776 666752 744448 887552 1333504 1775104 2520509 2667008 3550208 3786943 5041018 5334016 7573886 10082036 15147772 18059603 20164072 30295544 36119206 40328144 60591088 72238412 80656288 121182176 144476824 161312576 242364352 288953648 322625152 484728704 577907296 645250304 969457408 1155814592 1290500608 1938914816 2311629184 2581001216 3877829632 4623258368 9246516736 13129331381 18493033472 26258662762 52517325524 105034651048 210069302096 420138604192 840277208384 1680554416768 3361108833536 6722217667072 13444435334144