Search a number
-
+
240304123440140 = 225431627171741487
BaseRepresentation
bin110110101000111000101001…
…111010100110110000001100
31011111211211221112110120010012
4312220320221322212300030
5222444120321100041030
62211030105034332352
7101421254124100244
oct6650705172466014
91144754845416105
10240304123440140
116a628451a6a291
1222b5067088a0b8
13a411773a36646
14434aad2b28b24
151cbacdd475095
hexda8e29ea6c0c

240304123440140 has 48 divisors (see below), whose sum is σ = 516691823273472. Its totient is φ = 93828556495296.

The previous prime is 240304123440109. The next prime is 240304123440181. The reversal of 240304123440140 is 41044321403042.

It is a junction number, because it is equal to n+sod(n) for n = 240304123440097 and 240304123440106.

It is an unprimeable number.

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, 84471524 + ... + 87269963.

It is an arithmetic number, because the mean of its divisors is an integer number (10764412984864).

Almost surely, 2240304123440140 is an apocalyptic number.

240304123440140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240304123440140 is an abundant number, since it is smaller than the sum of its proper divisors (276387699833332).

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

240304123440140 is a wasteful number, since it uses less digits than its factorization.

240304123440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171743166 (or 171743164 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 240304123440140 its reverse (41044321403042), we get a palindrome (281348444843182).

The spelling of 240304123440140 in words is "two hundred forty trillion, three hundred four billion, one hundred twenty-three million, four hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1627 3254 6508 8135 16270 32540 69961 139922 279844 349805 699610 1399220 171741487 343482974 686965948 858707435 1717414870 3434829740 7384883941 14769767882 29539535764 36924419705 73848839410 147697678820 279423399349 558846798698 1117693597396 1397116996745 2794233993490 5588467986980 12015206172007 24030412344014 48060824688028 60076030860035 120152061720070 240304123440140