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443131203140 = 225311318876151
BaseRepresentation
bin1100111001011001010…
…11011000111001000100
31120100210120112111200222
412130230223120321010
524230013042000030
6535323251323512
744005130035643
oct6345453307104
91510716474628
10443131203140
11160a2701472a
1271a6b8b0598
1332a30322412
141763a56b35a
15b7d823e3e5
hex672cad8e44

443131203140 has 96 divisors (see below), whose sum is σ = 969175646208. Its totient is φ = 170005680000.

The previous prime is 443131203089. The next prime is 443131203161. The reversal of 443131203140 is 41302131344.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72039065 + ... + 72045215.

It is an arithmetic number, because the mean of its divisors is an integer number (10095579648).

Almost surely, 2443131203140 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 443131203140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484587823104).

443131203140 is an abundant number, since it is smaller than the sum of its proper divisors (526044443068).

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

443131203140 is a wasteful number, since it uses less digits than its factorization.

443131203140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 443131203140 its reverse (41302131344), we get a palindrome (484433334484).

The spelling of 443131203140 in words is "four hundred forty-three billion, one hundred thirty-one million, two hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 131 155 262 310 524 620 655 887 1310 1774 2620 3548 4061 4435 6151 8122 8870 12302 16244 17740 20305 24604 27497 30755 40610 54994 61510 81220 109988 116197 123020 137485 190681 232394 274970 381362 464788 549940 580985 762724 805781 953405 1161970 1611562 1906810 2323940 3223124 3602107 3813620 4028905 5455937 7204214 8057810 10911874 14408428 16115620 18010535 21823748 24979211 27279685 36021070 49958422 54559370 72042140 99916844 109118740 124896055 169134047 249792110 338268094 499584220 676536188 714727747 845670235 1429455494 1691340470 2858910988 3382680940 3573638735 7147277470 14294554940 22156560157 44313120314 88626240628 110782800785 221565601570 443131203140