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4313805444 = 22331321271861
BaseRepresentation
bin1000000010001111…
…10111001010000100
3102010122012000121000
410001013313022010
532313313233234
61552015453300
7211620512154
oct40107671204
912118160530
104313805444
111914037973
12a04827230
13539944200
142cccbc764
151a3aae899
hex1011f7284

4313805444 has 144 divisors (see below), whose sum is σ = 12212336640. Its totient is φ = 1316165760.

The previous prime is 4313805409. The next prime is 4313805449. The reversal of 4313805444 is 4445083134.

4313805444 is a `hidden beast` number, since 4 + 31 + 3 + 80 + 544 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4313805399 and 4313805408.

It is not an unprimeable number, because it can be changed into a prime (4313805449) 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 47 ways as a sum of consecutive naturals, for example, 2317074 + ... + 2318934.

Almost surely, 24313805444 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 4313805444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106168320).

4313805444 is an abundant number, since it is smaller than the sum of its proper divisors (7898531196).

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

4313805444 is a wasteful number, since it uses less digits than its factorization.

4313805444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4313805444 is about 65679.5664114799. The cubic root of 4313805444 is about 1627.8717433224.

Adding to 4313805444 its reverse (4445083134), we get a palindrome (8758888578).

The spelling of 4313805444 in words is "four billion, three hundred thirteen million, eight hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 127 156 169 234 254 338 351 381 468 507 508 676 702 762 1014 1143 1404 1521 1524 1651 1861 2028 2286 3042 3302 3429 3722 4563 4572 4953 5583 6084 6604 6858 7444 9126 9906 11166 13716 14859 16749 18252 19812 21463 22332 24193 29718 33498 42926 44577 48386 50247 59436 64389 66996 72579 85852 89154 96772 100494 128778 145158 178308 193167 200988 217737 236347 257556 290316 314509 386334 435474 472694 579501 629018 653211 709041 772668 870948 943527 945388 1159002 1258036 1306422 1418082 1887054 2127123 2318004 2612844 2830581 2836164 3072511 3774108 4254246 5661162 6145022 6381369 8491743 8508492 9217533 11322324 12290044 12762738 16983486 18435066 25525476 27652599 33966972 36870132 39942643 55305198 79885286 82957797 110610396 119827929 159770572 165915594 239655858 331831188 359483787 479311716 718967574 1078451361 1437935148 2156902722 4313805444