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4424244240304 = 247196913008773
BaseRepresentation
bin100000001100001100110…
…0000011001111110110000
3120122221202012002002100001
41000120121200121332300
51034441323011142204
613224245244235344
7634432616360350
oct100303140317660
916587665062301
104424244240304
1114563475965a9
125b554653bb54
13261287209ca5
141141c5358b60
157a14103c4a4
hex40619819fb0

4424244240304 has 80 divisors (see below), whose sum is σ = 10327075175680. Its totient is φ = 1793709515520.

The previous prime is 4424244240257. The next prime is 4424244240337. The reversal of 4424244240304 is 4030424424244.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 33939 + ... + 2974834.

It is an arithmetic number, because the mean of its divisors is an integer number (129088439696).

Almost surely, 24424244240304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424244240304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163537587840).

4424244240304 is an abundant number, since it is smaller than the sum of its proper divisors (5902830935376).

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

4424244240304 is a wasteful number, since it uses less digits than its factorization.

4424244240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009498 (or 3009492 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 37.

Adding to 4424244240304 its reverse (4030424424244), we get a palindrome (8454668664548).

The spelling of 4424244240304 in words is "four trillion, four hundred twenty-four billion, two hundred forty-four million, two hundred forty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 691 1064 1382 2128 2764 4837 5528 9674 11056 13129 19348 26258 38696 52516 77392 91903 105032 183806 210064 367612 735224 1470448 3008773 6017546 12035092 21061411 24070184 42122822 48140368 57166687 84245644 114333374 168491288 228666748 336982576 400166809 457333496 800333618 914666992 1600667236 2079062143 3201334472 4158124286 6402668944 8316248572 14553435001 16632497144 29106870002 33264994288 39502180717 58213740004 79004361434 116427480008 158008722868 232854960016 276515265019 316017445736 553030530038 632034891472 1106061060076 2212122120152 4424244240304