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4240224440224 = 251722123352327
BaseRepresentation
bin111101101101000001000…
…100100100111110100000
3120000100202112100200000221
4331231001010210332200
51023432434424041344
613003533205252424
7615226500026443
oct75550104447640
916010675320027
104240224440224
1113952a61770a3
1258594a704114
13249b0b830916
1410932973365a
157547099c184
hex3db41124fa0

4240224440224 has 48 divisors (see below), whose sum is σ = 8839421898048. Its totient is φ = 1995303877632.

The previous prime is 4240224440149. The next prime is 4240224440227. The reversal of 4240224440224 is 4220444220424.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4240224440224.

It is not an unprimeable number, because it can be changed into a prime (4240224440227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11858749 + ... + 12211075.

It is an arithmetic number, because the mean of its divisors is an integer number (184154622876).

Almost surely, 24240224440224 is an apocalyptic number.

It is an amenable number.

4240224440224 is an abundant number, since it is smaller than the sum of its proper divisors (4599197457824).

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

4240224440224 is a wasteful number, since it uses less digits than its factorization.

4240224440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374477 (or 374469 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 4240224440224 its reverse (4220444220424), we get a palindrome (8460668660648).

The spelling of 4240224440224 in words is "four trillion, two hundred forty billion, two hundred twenty-four million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 22123 44246 88492 176984 352327 353968 376091 704654 707936 752182 1409308 1504364 2818616 3008728 5637232 5989559 6017456 11274464 11979118 12034912 23958236 47916472 95832944 191665888 7794530221 15589060442 31178120884 62356241768 124712483536 132507013757 249424967072 265014027514 530028055028 1060056110056 2120112220112 4240224440224