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240002240420 = 22512000112021
BaseRepresentation
bin1101111110000100111…
…1111000111110100100
3211221111011120001021102
43133201033320332210
512413011033143140
6302131104535232
723224323245435
oct3374117707644
9757434501242
10240002240420
119286a00a528
123a620321518
131982a9a7417
14b88aab348c
15639a24ee15
hex37e13f8fa4

240002240420 has 12 divisors (see below), whose sum is σ = 504004704924. Its totient is φ = 96000896160.

The previous prime is 240002240407. The next prime is 240002240477. The reversal of 240002240420 is 24042200042.

It can be written as a sum of positive squares in 2 ways, for example, as 187128917056 + 52873323364 = 432584^2 + 229942^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 12000112021 = 240002240420 / (2 + 4 + 0 + 0 + 0 + 2 + 2 + 4 + 0 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 240002240392 and 240002240401.

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 3 ways as a sum of consecutive naturals, for example, 6000055991 + ... + 6000056030.

It is an arithmetic number, because the mean of its divisors is an integer number (42000392077).

Almost surely, 2240002240420 is an apocalyptic number.

240002240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240002240420 is an abundant number, since it is smaller than the sum of its proper divisors (264002464504).

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

240002240420 is a wasteful number, since it uses less digits than its factorization.

240002240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000112030 (or 12000112028 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240002240420 its reverse (24042200042), we get a palindrome (264044440462).

It can be divided in two parts, 2400022 and 40420, that added together give a palindrome (2440442).

The spelling of 240002240420 in words is "two hundred forty billion, two million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 12000112021 24000224042 48000448084 60000560105 120001120210 240002240420