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32441312420 = 22511273183637
BaseRepresentation
bin11110001101101001…
…110010010010100100
310002201220001102102122
4132031221302102210
51012414433444140
622523041525112
72225632414526
oct361551622244
9102656042378
1032441312420
1112838303200
126354643798
1330a00b6a6a
1417da77da16
15c9d110ab5
hex78da724a4

32441312420 has 72 divisors (see below), whose sum is σ = 75909338232. Its totient is φ = 11635176960.

The previous prime is 32441312417. The next prime is 32441312471. The reversal of 32441312420 is 2421314423.

It can be written as a sum of positive squares in 4 ways, for example, as 936482404 + 31504830016 = 30602^2 + 177496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32441312420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84842 + ... + 268478.

Almost surely, 232441312420 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 32441312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37954669116).

32441312420 is an abundant number, since it is smaller than the sum of its proper divisors (43468025812).

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

32441312420 is a wasteful number, since it uses less digits than its factorization.

32441312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183741 (or 183728 counting only the distinct ones).

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

Adding to 32441312420 its reverse (2421314423), we get a palindrome (34862626843).

The spelling of 32441312420 in words is "thirty-two billion, four hundred forty-one million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 121 146 220 242 292 365 484 605 730 803 1210 1460 1606 2420 3212 4015 8030 8833 16060 17666 35332 44165 88330 176660 183637 367274 734548 918185 1836370 2020007 3672740 4040014 8080028 10100035 13405501 20200070 22220077 26811002 40400140 44440154 53622004 67027505 88880308 111100385 134055010 147460511 222200770 268110020 294921022 444401540 589842044 737302555 1474605110 1622065621 2949210220 3244131242 6488262484 8110328105 16220656210 32441312420