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444214013144 = 231112374080749
BaseRepresentation
bin1100111011011010011…
…01111110110011011000
31120110121001000221210012
412131231031332303120
524234222241410034
6540022531541052
744044015545266
oct6355515766330
91513531027705
10444214013144
11161432258930
127211245a788
1332b737649b5
14177002b3436
15b84d32bcce
hex676d37ecd8

444214013144 has 32 divisors (see below), whose sum is σ = 909354330000. Its totient is φ = 201752181120.

The previous prime is 444214013077. The next prime is 444214013161. The reversal of 444214013144 is 441310412444.

It is a super-4 number, since 4×4442140131444 (a number of 48 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444214013144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1931519 + ... + 2149230.

Almost surely, 2444214013144 is an apocalyptic number.

444214013144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444214013144 is an abundant number, since it is smaller than the sum of its proper divisors (465140316856).

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

444214013144 is a wasteful number, since it uses less digits than its factorization.

444214013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082003 (or 4081999 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444214013144 its reverse (441310412444), we get a palindrome (885524425588).

The spelling of 444214013144 in words is "four hundred forty-four billion, two hundred fourteen million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 1237 2474 4948 9896 13607 27214 54428 108856 4080749 8161498 16322996 32645992 44888239 89776478 179552956 359105912 5047886513 10095773026 20191546052 40383092104 55526751643 111053503286 222107006572 444214013144