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4240440112224 = 253161639273271
BaseRepresentation
bin111101101101001101111…
…011010011010001100000
3120000101022120011221101210
4331231031323103101200
51023433410132042344
613004010432030120
7615235026146001
oct75551573232140
916011276157353
104240440112224
1113953a6993718
125859aa992340
13249b444143a4
1410934a2351a8
157548489edb9
hex3db4ded3460

4240440112224 has 48 divisors (see below), whose sum is σ = 11131264892160. Its totient is φ = 1413466120320.

The previous prime is 4240440112217. The next prime is 4240440112229. The reversal of 4240440112224 is 4222110440424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 4240440112191 and 4240440112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240440112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15380709 + ... + 15653979.

It is an arithmetic number, because the mean of its divisors is an integer number (231901351920).

Almost surely, 24240440112224 is an apocalyptic number.

It is an amenable number.

4240440112224 is an abundant number, since it is smaller than the sum of its proper divisors (6890824779936).

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

4240440112224 is a wasteful number, since it uses less digits than its factorization.

4240440112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434923 (or 434915 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4240440112224 its reverse (4222110440424), we get a palindrome (8462550552648).

The spelling of 4240440112224 in words is "four trillion, two hundred forty billion, four hundred forty million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 161639 273271 323278 484917 546542 646556 819813 969834 1093084 1293112 1639626 1939668 2186168 2586224 3279252 3879336 4372336 5172448 6558504 7758672 8744672 13117008 15517344 26234016 44171251169 88342502338 132513753507 176685004676 265027507014 353370009352 530055014028 706740018704 1060110028056 1413480037408 2120220056112 4240440112224