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240001114340 = 22513923081209
BaseRepresentation
bin1101111110000100101…
…1100110000011100100
3211221111002102211120202
43133201023212003210
512413010241124330
6302131024450032
723224310545421
oct3374113460344
9757432384522
10240001114340
1192869410489
123a61ba79918
131982a6a19c0
14b88a89cd48
15639a0cb445
hex37e12e60e4

240001114340 has 24 divisors (see below), whose sum is σ = 542771751480. Its totient is φ = 88615795968.

The previous prime is 240001114321. The next prime is 240001114349. The reversal of 240001114340 is 43411100042.

240001114340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4576251904 + 235424862436 = 67648^2 + 485206^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (240001114349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461540345 + ... + 461540864.

It is an arithmetic number, because the mean of its divisors is an integer number (22615489645).

Almost surely, 2240001114340 is an apocalyptic number.

240001114340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240001114340 is an abundant number, since it is smaller than the sum of its proper divisors (302770637140).

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

240001114340 is a wasteful number, since it uses less digits than its factorization.

240001114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923081231 (or 923081229 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 240001114340 its reverse (43411100042), we get a palindrome (283412214382).

The spelling of 240001114340 in words is "two hundred forty billion, one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 923081209 1846162418 3692324836 4615406045 9230812090 12000055717 18461624180 24000111434 48000222868 60000278585 120000557170 240001114340