Search a number
-
+
443221400132 = 227414710776771
BaseRepresentation
bin1100111001100100000…
…11011101101001000100
31120101000212020222201022
412130302003131221010
524230204134301012
6535340232450312
744010303511640
oct6346203355104
91511025228638
10443221400132
11160a72a1aaa5
1271a95b49998
1332a45c12c14
1417648529c20
15b7e1109472
hex67320dda44

443221400132 has 96 divisors (see below), whose sum is σ = 936063184896. Its totient is φ = 179678649600.

The previous prime is 443221400113. The next prime is 443221400143. The reversal of 443221400132 is 231004122344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5734907 + ... + 5811677.

It is an arithmetic number, because the mean of its divisors is an integer number (9750658176).

Almost surely, 2443221400132 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 443221400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468031592448).

443221400132 is an abundant number, since it is smaller than the sum of its proper divisors (492841784764).

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

443221400132 is a wasteful number, since it uses less digits than its factorization.

443221400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76977 (or 76975 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 443221400132 its reverse (231004122344), we get a palindrome (674225522476).

The spelling of 443221400132 in words is "four hundred forty-three billion, two hundred twenty-one million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 47 82 94 107 164 188 214 287 329 428 574 658 749 1148 1316 1498 1927 2996 3854 4387 5029 7708 8774 10058 13489 17548 20116 26978 30709 35203 53956 61418 70406 76771 122836 140812 153542 206189 307084 412378 537397 824756 1074794 1443323 2149588 2886646 3147611 3608237 5773292 6295222 7216474 8214497 12590444 14432948 16428994 22033277 25257659 32857988 44066554 50515318 57501479 88133108 101030636 115002958 147937717 230005916 295875434 336794377 386081359 591750868 673588754 772162718 1035564019 1347177508 1544325436 2071128038 2357560639 2702569513 4142256076 4715121278 5405139026 9430242556 10810278052 15829335719 31658671438 63317342876 110805350033 221610700066 443221400132