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4002311003424 = 253232962504857
BaseRepresentation
bin111010001111011100010…
…100110101110100100000
3112011121122221020211122120
4322033130110311310200
51011033213104102144
612302345234504240
7562104666133326
oct72173424656440
915147587224576
104002311003424
111303409248758
12547811a35080
13230554824096
14db9da233d16
156e198d01e19
hex3a3dc535d20

4002311003424 has 96 divisors (see below), whose sum is σ = 11340881435520. Its totient is φ = 1232095721472.

The previous prime is 4002311003413. The next prime is 4002311003429. The reversal of 4002311003424 is 4243001132004.

4002311003424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 4002311003394 and 4002311003403.

It is not an unprimeable number, because it can be changed into a prime (4002311003429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31188397 + ... + 31316460.

It is an arithmetic number, because the mean of its divisors is an integer number (118134181620).

Almost surely, 24002311003424 is an apocalyptic number.

It is an amenable number.

4002311003424 is an abundant number, since it is smaller than the sum of its proper divisors (7338570432096).

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

4002311003424 is a wasteful number, since it uses less digits than its factorization.

4002311003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62504922 (or 62504914 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4002311003424 its reverse (4243001132004), we get a palindrome (8245312135428).

The spelling of 4002311003424 in words is "four trillion, two billion, three hundred eleven million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 2001 2208 2668 2784 4002 5336 8004 10672 16008 21344 32016 64032 62504857 125009714 187514571 250019428 375029142 500038856 750058284 1000077712 1437611711 1500116568 1812640853 2000155424 2875223422 3000233136 3625281706 4312835133 5437922559 5750446844 6000466272 7250563412 8625670266 10875845118 11500893688 14501126824 17251340532 21751690236 23001787376 29002253648 34502681064 41690739619 43503380472 46003574752 58004507296 69005362128 83381479238 87006760944 125072218857 138010724256 166762958476 174013521888 250144437714 333525916952 500288875428 667051833904 1000577750856 1334103667808 2001155501712 4002311003424