Search a number
-
+
32421024420240 = 2435188971512759
BaseRepresentation
bin1110101111100100110111…
…01001001101000110010000
311020210102022221021012002010
413113302123221031012100
513222141224222421430
6152542002450422520
76554225131412151
oct727623351150620
9136712287235063
1032421024420240
11a36a752086355
1237774b3591a40
13151239bcc6ab1
1480128638b928
153b352a322cb0
hex1d7c9ba4d190

32421024420240 has 80 divisors (see below), whose sum is σ = 100558382601600. Its totient is φ = 8641029574656.

The previous prime is 32421024420227. The next prime is 32421024420241. The reversal of 32421024420240 is 4202442012423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×324210244202402 (a number of 28 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 = 32421024420198 and 32421024420207.

It is not an unprimeable number, because it can be changed into a prime (32421024420241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35303020 + ... + 36209739.

It is an arithmetic number, because the mean of its divisors is an integer number (1256979782520).

Almost surely, 232421024420240 is an apocalyptic number.

32421024420240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32421024420240 is an abundant number, since it is smaller than the sum of its proper divisors (68137358181360).

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

32421024420240 is a wasteful number, since it uses less digits than its factorization.

32421024420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71514664 (or 71514658 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 32421024420240 its reverse (4202442012423), we get a palindrome (36623466432663).

The spelling of 32421024420240 in words is "thirty-two trillion, four hundred twenty-one billion, twenty-four million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1889 3778 5667 7556 9445 11334 15112 18890 22668 28335 30224 37780 45336 56670 75560 90672 113340 151120 226680 453360 71512759 143025518 214538277 286051036 357563795 429076554 572102072 715127590 858153108 1072691385 1144204144 1430255180 1716306216 2145382770 2860510360 3432612432 4290765540 5721020720 8581531080 17163062160 135087601751 270175203502 405262805253 540350407004 675438008755 810525610506 1080700814008 1350876017510 1621051221012 2026314026265 2161401628016 2701752035020 3242102442024 4052628052530 5403504070040 6484204884048 8105256105060 10807008140080 16210512210120 32421024420240