Search a number
-
+
32042240224 = 2519471139923
BaseRepresentation
bin11101110101110111…
…011100100011100000
310001201002010110021221
4131311313130203200
51011110303141344
622415304224424
72213015355661
oct356567344340
9101632113257
1032042240224
1112653011375
126262a6b114
13303850b877
14179d77b368
15c78082184
hex775ddc8e0

32042240224 has 96 divisors (see below), whose sum is σ = 68423201280. Its totient is φ = 14722025472.

The previous prime is 32042240189. The next prime is 32042240231. The reversal of 32042240224 is 42204224023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3224127 + ... + 3234049.

It is an arithmetic number, because the mean of its divisors is an integer number (712741680).

Almost surely, 232042240224 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 32042240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34211600640).

32042240224 is an abundant number, since it is smaller than the sum of its proper divisors (36380961056).

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

32042240224 is a wasteful number, since it uses less digits than its factorization.

32042240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 10104 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 32042240224 its reverse (42204224023), we get a palindrome (74246464247).

The spelling of 32042240224 in words is "thirty-two billion, forty-two million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 113 152 188 226 304 376 452 608 752 893 904 1504 1786 1808 2147 3572 3616 4294 5311 7144 8588 9923 10622 14288 17176 19846 21244 28576 34352 39692 42488 68704 79384 84976 100909 158768 169952 188537 201818 317536 377074 403636 466381 754148 807272 932762 1121299 1508296 1614544 1865524 2242598 3016592 3229088 3731048 4485196 6033184 7462096 8861239 8970392 14924192 17722478 17940784 21304681 35444956 35881568 42609362 52701053 70889912 85218724 105402106 141779824 170437448 210804212 283559648 340874896 421608424 681749792 843216848 1001320007 1686433696 2002640014 4005280028 8010560056 16021120112 32042240224