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42424413440 = 28533144073
BaseRepresentation
bin100111100000101100…
…010010110100000000
311001111122000111111212
4213200230102310000
51143341122212230
631253422225252
73031213364363
oct474054226400
9131448014455
1042424413440
1116aa0525812
12827ba25228
134001438426
1420a65840da
151184781895
hex9e0b12d00

42424413440 has 36 divisors (see below), whose sum is σ = 101619730884. Its totient is φ = 16969764864.

The previous prime is 42424413433. The next prime is 42424413463. The reversal of 42424413440 is 4431442424.

It can be written as a sum of positive squares in 2 ways, for example, as 33750098944 + 8674314496 = 183712^2 + 93136^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42424413397 and 42424413406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16570757 + ... + 16573316.

Almost surely, 242424413440 is an apocalyptic number.

42424413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42424413440 is an abundant number, since it is smaller than the sum of its proper divisors (59195317444).

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

42424413440 is an equidigital number, since it uses as much as digits as its factorization.

42424413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33144094 (or 33144080 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 42424413440 its reverse (4431442424), we get a palindrome (46855855864).

The spelling of 42424413440 in words is "forty-two billion, four hundred twenty-four million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 33144073 66288146 132576292 165720365 265152584 331440730 530305168 662881460 1060610336 1325762920 2121220672 2651525840 4242441344 5303051680 8484882688 10606103360 21212206720 42424413440