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4430444112 = 2432314323081
BaseRepresentation
bin1000010000001001…
…10011011001010000
3102102202122212202200
410020010303121100
533033143202422
62011343443200
7214535103453
oct41004633120
912382585680
104430444112
111973963266
12a378b6500
13557b62183
143005a149a
151ade4e2ac
hex108133650

4430444112 has 120 divisors (see below), whose sum is σ = 13097280768. Its totient is φ = 1395878400.

The previous prime is 4430444099. The next prime is 4430444113. The reversal of 4430444112 is 2114440344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430444113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180412 + ... + 203492.

Almost surely, 24430444112 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 4430444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548640384).

4430444112 is an abundant number, since it is smaller than the sum of its proper divisors (8666836656).

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

4430444112 is a wasteful number, since it uses less digits than its factorization.

4430444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23169 (or 23160 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4430444112 is about 66561.5813514072. The cubic root of 4430444112 is about 1642.4131775100.

Adding to 4430444112 its reverse (2114440344), we get a palindrome (6544884456).

The spelling of 4430444112 in words is "four billion, four hundred thirty million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 43 48 62 72 86 93 124 129 144 172 186 248 258 279 344 372 387 496 516 558 688 744 774 1032 1116 1333 1488 1548 2064 2232 2666 3096 3999 4464 5332 6192 7998 10664 11997 15996 21328 23081 23994 31992 46162 47988 63984 69243 92324 95976 138486 184648 191952 207729 276972 369296 415458 553944 715511 830916 992483 1107888 1431022 1661832 1984966 2146533 2862044 2977449 3323664 3969932 4293066 5724088 5954898 6439599 7939864 8586132 8932347 11448176 11909796 12879198 15879728 17172264 17864694 23819592 25758396 30766973 34344528 35729388 47639184 51516792 61533946 71458776 92300919 103033584 123067892 142917552 184601838 246135784 276902757 369203676 492271568 553805514 738407352 1107611028 1476814704 2215222056 4430444112