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4102201233240 = 23351131432331379
BaseRepresentation
bin111011101100011110001…
…111110100111101011000
3112112011111110100021111220
4323230132033310331120
51014202302003430430
612420305241052040
7602242241105205
oct73543617647530
915464443307456
104102201233240
1113418087198a0
1256304aa87020
13239ab367bc46
1410279487ccac
1571a935a7110
hex3bb1e3f4f58

4102201233240 has 256 divisors, whose sum is σ = 14180758732800. Its totient is φ = 940011609600.

The previous prime is 4102201233233. The next prime is 4102201233301. The reversal of 4102201233240 is 423321022014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4102201233240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593871 + ... + 2925249.

It is an arithmetic number, because the mean of its divisors is an integer number (55393588800).

Almost surely, 24102201233240 is an apocalyptic number.

4102201233240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102201233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090379366400).

4102201233240 is an abundant number, since it is smaller than the sum of its proper divisors (10078557499560).

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

4102201233240 is a wasteful number, since it uses less digits than its factorization.

4102201233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331478 (or 2331474 counting only the distinct ones).

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

Adding to 4102201233240 its reverse (423321022014), we get a palindrome (4525522255254).

The spelling of 4102201233240 in words is "four trillion, one hundred two billion, two hundred one million, two hundred thirty-three thousand, two hundred forty".