Search a number
-
+
32440342434120 = 2332590112062317
BaseRepresentation
bin1110110000001000110110…
…00101100101000101001000
311020212021012020111222020200
413120010123011211011020
513223000310130342440
6152554515414452200
76555510633002265
oct730043305450510
9136767166458220
1032440342434120
11a37796564a085
12377b1a5064060
13151415a2cb73a
14802199c6826c
153b3cab278c30
hex1d811b165148

32440342434120 has 48 divisors (see below), whose sum is σ = 105431112912060. Its totient is φ = 8650757982336.

The previous prime is 32440342434109. The next prime is 32440342434187. The reversal of 32440342434120 is 2143424304423.

32440342434120 is a `hidden beast` number, since 3 + 2 + 4 + 403 + 4 + 243 + 4 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30158351522244 + 2281990911876 = 5491662^2 + 1510626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45056030799 + ... + 45056031518.

Almost surely, 232440342434120 is an apocalyptic number.

32440342434120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32440342434120 is an abundant number, since it is smaller than the sum of its proper divisors (72990770477940).

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

32440342434120 is a wasteful number, since it uses less digits than its factorization.

32440342434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90112062334 (or 90112062327 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 32440342434120 its reverse (2143424304423), we get a palindrome (34583766738543).

The spelling of 32440342434120 in words is "thirty-two trillion, four hundred forty billion, three hundred forty-two million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 90112062317 180224124634 270336186951 360448249268 450560311585 540672373902 720896498536 811008560853 901120623170 1081344747804 1351680934755 1622017121706 1802241246340 2162689495608 2703361869510 3244034243412 3604482492680 4055042804265 5406723739020 6488068486824 8110085608530 10813447478040 16220171217060 32440342434120