Search a number
-
+
4102211445354 = 23211473679711237
BaseRepresentation
bin111011101100011110110…
…110110010001001101010
3112112011112011120002220100
4323230132312302021222
51014202312112222404
612420310244010230
7602242423650141
oct73543666621152
915464464502810
104102211445354
111341813464360
12563052390976
13239ab5816209
14102795d7a758
1571a94422d39
hex3bb1edb226a

4102211445354 has 192 divisors, whose sum is σ = 9947680284672. Its totient is φ = 1211101027200.

The previous prime is 4102211445341. The next prime is 4102211445383. The reversal of 4102211445354 is 4535441122014.

4102211445354 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 2 + 114 + 4 + 535 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3316257624 + ... + 3316258860.

It is an arithmetic number, because the mean of its divisors is an integer number (51810834816).

Almost surely, 24102211445354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102211445354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973840142336).

4102211445354 is an abundant number, since it is smaller than the sum of its proper divisors (5845468839318).

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

4102211445354 is a wasteful number, since it uses less digits than its factorization.

4102211445354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 4102211445354 its reverse (4535441122014), we get a palindrome (8637652567368).

The spelling of 4102211445354 in words is "four trillion, one hundred two billion, two hundred eleven million, four hundred forty-five thousand, three hundred fifty-four".