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13444144 = 2471723307
BaseRepresentation
bin110011010010…
…010000110000
3221022000220021
4303102100300
511420203034
61200053224
7222162520
oct63222060
927260807
1013444144
11765286a
124604214
132a2941c
141add680
1512a86b4
hexcd2430

13444144 has 80 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 5170176.

The previous prime is 13444129. The next prime is 13444147. The reversal of 13444144 is 44144431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13444147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43639 + ... + 43945.

Almost surely, 213444144 is an apocalyptic number.

13444144 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 13444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

13444144 is an abundant number, since it is smaller than the sum of its proper divisors (19553744).

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

13444144 is a wasteful number, since it uses less digits than its factorization.

13444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 13444144 is about 3666.6256967408. The cubic root of 13444144 is about 237.7813117230.

Adding to 13444144 its reverse (44144431), we get a palindrome (57588575).

The spelling of 13444144 in words is "thirteen million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 307 322 368 391 476 614 644 782 952 1228 1288 1564 1904 2149 2456 2576 2737 3128 4298 4912 5219 5474 6256 7061 8596 10438 10948 14122 17192 20876 21896 28244 34384 36533 41752 43792 49427 56488 73066 83504 98854 112976 120037 146132 197708 240074 292264 395416 480148 584528 790832 840259 960296 1680518 1920592 3361036 6722072 13444144