Search a number
-
+
32543221440 = 263565351913
BaseRepresentation
bin11110010011101110…
…100010011011000000
310002222222210221022210
4132103232202123000
51013122031041230
622541122102120
72231310550422
oct362356423300
9102888727283
1032543221440
111288a888a34
1263827aa940
1330b8248462
14180a10a812
15ca7040eb0
hex793ba26c0

32543221440 has 112 divisors (see below), whose sum is σ = 103484952288. Its totient is φ = 8664735744.

The previous prime is 32543221423. The next prime is 32543221453. The reversal of 32543221440 is 4412234523.

It is a super-2 number, since 2×325432214402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32543221398 and 32543221407.

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, 600924 + ... + 652836.

Almost surely, 232543221440 is an apocalyptic number.

32543221440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32543221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51742476144).

32543221440 is an abundant number, since it is smaller than the sum of its proper divisors (70941730848).

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

32543221440 is a wasteful number, since it uses less digits than its factorization.

32543221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52586 (or 52576 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 32543221440 its reverse (4412234523), we get a palindrome (36955455963).

The spelling of 32543221440 in words is "thirty-two billion, five hundred forty-three million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 653 960 1306 1959 2612 3265 3918 5224 6530 7836 9795 10448 13060 15672 19590 20896 26120 31344 39180 41792 51913 52240 62688 78360 103826 104480 125376 155739 156720 207652 208960 259565 311478 313440 415304 519130 622956 626880 778695 830608 1038260 1245912 1557390 1661216 2076520 2491824 3114780 3322432 4153040 4983648 6229560 8306080 9967296 12459120 16612160 24918240 33899189 49836480 67798378 101697567 135596756 169495945 203395134 271193512 338991890 406790268 508487835 542387024 677983780 813580536 1016975670 1084774048 1355967560 1627161072 2033951340 2169548096 2711935120 3254322144 4067902680 5423870240 6508644288 8135805360 10847740480 16271610720 32543221440