Search a number
-
+
240231253201140 = 223528511404368369
BaseRepresentation
bin110110100111110100110010…
…100000101101000011110100
31011111120212212002020212112110
4312213310302200231003310
5222441422101304414030
62210532414132251020
7101413064255221665
oct6647646240550364
91144525762225473
10240231253201140
116a5aa558686173
1222b3a514770a70
13a40792ca6b526
14434737cc4736c
151cb8e75da31b0
hexda7d3282d0f4

240231253201140 has 48 divisors (see below), whose sum is σ = 672883443328320. Its totient is φ = 64039197580800.

The previous prime is 240231253201127. The next prime is 240231253201157. The reversal of 240231253201140 is 41102352132042.

It is a happy number.

240231253201140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2402312532011402 (a number of 30 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 = 240231253201098 and 240231253201107.

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, 702013125 + ... + 702355244.

It is an arithmetic number, because the mean of its divisors is an integer number (14018405069340).

Almost surely, 2240231253201140 is an apocalyptic number.

240231253201140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240231253201140 is an abundant number, since it is smaller than the sum of its proper divisors (432652190127180).

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

240231253201140 is a wasteful number, since it uses less digits than its factorization.

240231253201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404371232 (or 1404371230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 240231253201140 in words is "two hundred forty trillion, two hundred thirty-one billion, two hundred fifty-three million, two hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2851 5702 8553 11404 14255 17106 28510 34212 42765 57020 85530 171060 1404368369 2808736738 4213105107 5617473476 7021841845 8426210214 14043683690 16852420428 21065525535 28087367380 42131051070 84262102140 4003854220019 8007708440038 12011562660057 16015416880076 20019271100095 24023125320114 40038542200190 48046250640228 60057813300285 80077084400380 120115626600570 240231253201140