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42402006024 = 2337252392893
BaseRepresentation
bin100111011111010110…
…110100010000001000
311001110001212002022120
4213133112310100020
51143314403143044
631251302051240
73030522050550
oct473726642010
9131401762276
1042402006024
1116a89910794
128274419b20
133cc98c12c1
1420a35d0160
151182807519
hex9df5b4408

42402006024 has 32 divisors (see below), whose sum is σ = 121148589120. Its totient is φ = 12114858816.

The previous prime is 42402006019. The next prime is 42402006043. The reversal of 42402006024 is 42060020424.

It is a super-2 number, since 2×424020060242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42402005985 and 42402006003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126196279 + ... + 126196614.

It is an arithmetic number, because the mean of its divisors is an integer number (3785893410).

Almost surely, 242402006024 is an apocalyptic number.

It is an amenable number.

42402006024 is an abundant number, since it is smaller than the sum of its proper divisors (78746583096).

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

42402006024 is a wasteful number, since it uses less digits than its factorization.

42402006024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252392909 (or 252392905 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42402006024 its reverse (42060020424), we get a palindrome (84462026448).

The spelling of 42402006024 in words is "forty-two billion, four hundred two million, six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 252392893 504785786 757178679 1009571572 1514357358 1766750251 2019143144 3028714716 3533500502 5300250753 6057429432 7067001004 10600501506 14134002008 21201003012 42402006024