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4242314420 = 225257825353
BaseRepresentation
bin1111110011011100…
…1001010010110100
3101221122122220100022
43330313021102310
532142013030140
61540543304312
7210062035421
oct37467112264
911848586308
104242314420
111887748683
129a48ab098
13527ba2b26
142c35ccd48
1519c68c0b5
hexfcdc94b4

4242314420 has 24 divisors (see below), whose sum is σ = 8943535944. Its totient is φ = 1690320896.

The previous prime is 4242314407. The next prime is 4242314429. The reversal of 4242314420 is 244132424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2955227044 + 1287087376 = 54362^2 + 35876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4242314420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242314429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407537 + ... + 417816.

It is an arithmetic number, because the mean of its divisors is an integer number (372647331).

Almost surely, 24242314420 is an apocalyptic number.

It is an amenable number.

4242314420 is an abundant number, since it is smaller than the sum of its proper divisors (4701221524).

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

4242314420 is a wasteful number, since it uses less digits than its factorization.

4242314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825619 (or 825617 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4242314420 is about 65133.0516711754. The cubic root of 4242314420 is about 1618.8289077281.

Adding to 4242314420 its reverse (244132424), we get a palindrome (4486446844).

The spelling of 4242314420 in words is "four billion, two hundred forty-two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 825353 1650706 3301412 4126765 8253530 16507060 212115721 424231442 848462884 1060578605 2121157210 4242314420