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44211214344 = 233115927710247
BaseRepresentation
bin101001001011001100…
…011001100000001000
311020010011012101120010
4221023030121200020
51211021032324334
632151011431520
73123411056433
oct511314314010
9136104171503
1044211214344
1117828094780
12869a2b55a0
13422768677b
1421d59c281a
15123b57e0e9
hexa4b319808

44211214344 has 128 divisors (see below), whose sum is σ = 123074380800. Its totient is φ = 13121437440.

The previous prime is 44211214343. The next prime is 44211214363. The reversal of 44211214344 is 44341211244.

It is a happy number.

It is a super-2 number, since 2×442112143442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44211214343) 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 31 ways as a sum of consecutive naturals, for example, 4309429 + ... + 4319675.

It is an arithmetic number, because the mean of its divisors is an integer number (961518600).

Almost surely, 244211214344 is an apocalyptic number.

44211214344 is a gapful number since it is divisible by the number (44) 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 44211214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61537190400).

44211214344 is an abundant number, since it is smaller than the sum of its proper divisors (78863166456).

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

44211214344 is a wasteful number, since it uses less digits than its factorization.

44211214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10599 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 44211214344 its reverse (44341211244), we get a palindrome (88552425588).

The spelling of 44211214344 in words is "forty-four billion, two hundred eleven million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 277 354 472 554 649 708 831 1108 1298 1416 1662 1947 2216 2596 3047 3324 3894 5192 6094 6648 7788 9141 10247 12188 15576 16343 18282 20494 24376 30741 32686 36564 40988 49029 61482 65372 73128 81976 98058 112717 122964 130744 179773 196116 225434 245928 338151 359546 392232 450868 539319 604573 676302 719092 901736 1078638 1209146 1352604 1438184 1813719 2157276 2418292 2705208 2838419 3627438 4314552 4836584 5676838 6650303 7254876 8515257 11353676 13300606 14509752 17030514 19950909 22707352 26601212 31222609 34061028 39901818 53202424 62445218 68122056 79803636 93667827 124890436 159607272 167466721 187335654 249780872 334933442 374671308 502400163 669866884 749342616 1004800326 1339733768 1842133931 2009600652 3684267862 4019201304 5526401793 7368535724 11052803586 14737071448 22105607172 44211214344