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32443032040 = 2355322376841
BaseRepresentation
bin11110001101110000…
…010110000111101000
310002202000021210022021
4132031300112013220
51012420404011130
622523142434224
72225653136146
oct361560260750
9102660253267
1032443032040
1112839278181
126355132974
1330a05696a3
1417daaaa596
15c9d35037a
hex78dc161e8

32443032040 has 64 divisors (see below), whose sum is σ = 74418244560. Its totient is φ = 12724807680.

The previous prime is 32443032029. The next prime is 32443032079. The reversal of 32443032040 is 4023034423.

It can be written as a sum of positive squares in 8 ways, for example, as 26356223716 + 6086808324 = 162346^2 + 78018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32443031996 and 32443032014.

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 15 ways as a sum of consecutive naturals, for example, 4739020 + ... + 4745860.

Almost surely, 232443032040 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 32443032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209122280).

32443032040 is an abundant number, since it is smaller than the sum of its proper divisors (41975212520).

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

32443032040 is a wasteful number, since it uses less digits than its factorization.

32443032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 32443032040 its reverse (4023034423), we get a palindrome (36466066463).

The spelling of 32443032040 in words is "thirty-two billion, four hundred forty-three million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 2237 4474 6841 8948 11185 13682 17896 22370 27364 34205 44740 54728 68410 89480 118561 136820 237122 273640 362573 474244 592805 725146 948488 1185610 1450292 1812865 2371220 2900584 3625730 4742440 7251460 14502920 15303317 30606634 61213268 76516585 122426536 153033170 306066340 612132680 811075801 1622151602 3244303204 4055379005 6488606408 8110758010 16221516020 32443032040