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4441331444 = 22117110091409
BaseRepresentation
bin1000010001011100…
…10101011011110100
3102110112011000101012
410020232111123310
533043440101234
62012413051352
7215026460114
oct41056253364
912415130335
104441331444
11197a01a060
12a3b486b58
1355a1a4894
14301bd7044
151aeda00ce
hex108b956f4

4441331444 has 48 divisors (see below), whose sum is σ = 8612956800. Its totient is φ = 1986969600.

The previous prime is 4441331431. The next prime is 4441331473.

4441331444 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4441331444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151412 + ... + 3152820.

It is an arithmetic number, because the mean of its divisors is an integer number (179436600).

Almost surely, 24441331444 is an apocalyptic number.

4441331444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4441331444 is a deficient number, since it is larger than the sum of its proper divisors (4171625356).

4441331444 is a wasteful number, since it uses less digits than its factorization.

4441331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2502 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 4441331444 is about 66643.3150736066. The cubic root of 4441331444 is about 1643.7574272648.

It can be divided in two parts, 44413 and 31444, that added together give a palindrome (75857).

The spelling of 4441331444 in words is "four billion, four hundred forty-one million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 71 142 284 781 1009 1409 1562 2018 2818 3124 4036 5636 11099 15499 22198 30998 44396 61996 71639 100039 143278 200078 286556 400156 788029 1100429 1421681 1576058 2200858 2843362 3152116 4401716 5686724 15638491 31276982 62553964 100939351 201878702 403757404 1110332861 2220665722 4441331444