Search a number
-
+
4242244442440 = 235691153482071
BaseRepresentation
bin111101101110111001011…
…110010001100101001000
3120000112222022100102010211
4331232321132101211020
51024001104034124230
613004505445050504
7615330525536644
oct75567136214510
916015868312124
104242244442440
111396142435714
125862130b6a34
1324a07118c3c4
1410947bb17c24
157553ceb142a
hex3dbb9791948

4242244442440 has 32 divisors (see below), whose sum is σ = 9558863444160. Its totient is φ = 1694442052800.

The previous prime is 4242244442413. The next prime is 4242244442467. The reversal of 4242244442440 is 442444422424.

It is an interprime number because it is at equal distance from previous prime (4242244442413) and next prime (4242244442467).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4242244442393 and 4242244442402.

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 7 ways as a sum of consecutive naturals, for example, 76713396 + ... + 76768675.

It is an arithmetic number, because the mean of its divisors is an integer number (298714482630).

Almost surely, 24242244442440 is an apocalyptic number.

4242244442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242244442440 is an abundant number, since it is smaller than the sum of its proper divisors (5316619001720).

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

4242244442440 is a wasteful number, since it uses less digits than its factorization.

4242244442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153482773 (or 153482769 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 4242244442440 its reverse (442444422424), we get a palindrome (4684688864864).

The spelling of 4242244442440 in words is "four trillion, two hundred forty-two billion, two hundred forty-four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 691 1382 2764 3455 5528 6910 13820 27640 153482071 306964142 613928284 767410355 1227856568 1534820710 3069641420 6139282840 106056111061 212112222122 424224444244 530280555305 848448888488 1060561110610 2121122221220 4242244442440