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4424306712 = 2337171981533
BaseRepresentation
bin1000001111011010…
…11001000000011000
3102102100010001211120
410013231121000120
533030110303322
62011004125240
7214431662250
oct40755310030
912370101746
104424306712
111970451131
12a35836820
135567c3787
142dd844960
151ad63aa5c
hex107b59018

4424306712 has 128 divisors (see below), whose sum is σ = 14089075200. Its totient is φ = 1127098368.

The previous prime is 4424306707. The next prime is 4424306723. The reversal of 4424306712 is 2176034244.

It is a congruent number.

It is an unprimeable number.

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, 13498 + ... + 95030.

It is an arithmetic number, because the mean of its divisors is an integer number (110070900).

Almost surely, 24424306712 is an apocalyptic number.

4424306712 is a gapful number since it is divisible by the number (42) 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 4424306712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044537600).

4424306712 is an abundant number, since it is smaller than the sum of its proper divisors (9664768488).

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

4424306712 is a wasteful number, since it uses less digits than its factorization.

4424306712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81585 (or 81581 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4424306712 is about 66515.4622024082. The cubic root of 4424306712 is about 1641.6544270273.

The spelling of 4424306712 in words is "four billion, four hundred twenty-four million, three hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6783 7752 9044 13566 18088 27132 54264 81533 163066 244599 326132 489198 570731 652264 978396 1141462 1386061 1549127 1712193 1956792 2282924 2772122 3098254 3424386 4158183 4565848 4647381 5544244 6196508 6848772 8316366 9294762 9702427 10843889 11088488 12393016 13697544 16632732 18589524 19404854 21687778 26335159 29107281 32531667 33265464 37179048 38809708 43375556 52670318 58214562 65063334 77619416 79005477 86751112 105340636 116429124 130126668 158010954 184346113 210681272 232858248 260253336 316021908 368692226 553038339 632043816 737384452 1106076678 1474768904 2212153356 4424306712