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4200233214420 = 2232527538476073
BaseRepresentation
bin111101000111110001011…
…010001010000111010100
3112212112112110210220110200
4331013301122022013110
51022304034200330140
612533321022420500
7612312460151415
oct75076132120724
915775473726420
104200233214420
11137a344171261
1257a049731730
13246107530cb9
141074143ab80c
15743ceb4a030
hex3d1f168a1d4

4200233214420 has 72 divisors (see below), whose sum is σ = 12745336856616. Its totient is φ = 1119655206912.

The previous prime is 4200233214413. The next prime is 4200233214451. The reversal of 4200233214420 is 244123320024.

4200233214420 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 23 + 3 + 214 + 420 = 666.

4200233214420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1710565788996 + 2489667425424 = 1307886^2 + 1577868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3742497 + ... + 4733576.

It is an arithmetic number, because the mean of its divisors is an integer number (177018567453).

Almost surely, 24200233214420 is an apocalyptic number.

It is an amenable number.

4200233214420 is an abundant number, since it is smaller than the sum of its proper divisors (8545103642196).

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

4200233214420 is a wasteful number, since it uses less digits than its factorization.

4200233214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478841 (or 8478836 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4200233214420 its reverse (244123320024), we get a palindrome (4444356534444).

The spelling of 4200233214420 in words is "four trillion, two hundred billion, two hundred thirty-three million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2753 5506 8259 11012 13765 16518 24777 27530 33036 41295 49554 55060 82590 99108 123885 165180 247770 495540 8476073 16952146 25428219 33904292 42380365 50856438 76284657 84760730 101712876 127141095 152569314 169521460 254282190 305138628 381423285 508564380 762846570 1525693140 23334628969 46669257938 70003886907 93338515876 116673144845 140007773814 210011660721 233346289690 280015547628 350019434535 420023321442 466692579380 700038869070 840046642884 1050058303605 1400077738140 2100116607210 4200233214420