Search a number
-
+
32132440412224 = 2653151121351719
BaseRepresentation
bin1110100111001011010101…
…01100100101000001000000
311012202211110000112122021221
413103211222230211001000
513202424214221142344
6152201234521524424
76524330554001125
oct723455254450100
9135684400478257
1032132440412224
11a269322a15879
12372b595343714
1314c10cb343139
147d130b48474c
153aac89ec5184
hex1d396ab25040

32132440412224 has 112 divisors (see below), whose sum is σ = 65451299201280. Its totient is φ = 15645481113600.

The previous prime is 32132440412207. The next prime is 32132440412243. The reversal of 32132440412224 is 42221404423123.

It is a self number, because there is not a number n which added to its sum of digits gives 32132440412224.

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 15 ways as a sum of consecutive naturals, for example, 621263037 + ... + 621314755.

Almost surely, 232132440412224 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 32132440412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32725649600640).

32132440412224 is an abundant number, since it is smaller than the sum of its proper divisors (33318858789056).

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

32132440412224 is a wasteful number, since it uses less digits than its factorization.

32132440412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53148 (or 53138 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 32132440412224 its reverse (42221404423123), we get a palindrome (74353844835347).

The spelling of 32132440412224 in words is "thirty-two trillion, one hundred thirty-two billion, four hundred forty million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 151 212 302 424 604 848 1208 1213 1696 2416 2426 3392 4832 4852 8003 9664 9704 16006 19408 32012 38816 51719 64024 64289 77632 103438 128048 128578 183163 206876 256096 257156 366326 413752 512192 514312 732652 827504 1028624 1465304 1655008 2057248 2741107 2930608 3310016 4114496 5482214 5861216 7809569 9707639 10964428 11722432 15619138 19415278 21928856 31238276 38830556 43857712 62476552 62735147 77661112 87715424 124953104 125470294 155322224 175430848 249906208 250940588 310644448 413907157 499812416 501881176 621288896 827814314 1003762352 1655628628 2007524704 3311257256 3324962791 4015049408 6622514512 6649925582 9473007197 13245029024 13299851164 18946014394 26490058048 26599702328 37892028788 53199404656 75784057576 106398809312 151568115152 212797618624 303136230304 502069381441 606272460608 1004138762882 2008277525764 4016555051528 8033110103056 16066220206112 32132440412224