Search a number
-
+
241413101400 = 233522331564313
BaseRepresentation
bin1110000011010101010…
…1111001011101011000
3212002010111100012200210
43200311111321131120
512423403223221100
6302523104331120
723304304334652
oct3406525713530
9762114305623
10241413101400
1193423447239
123a954913aa0
13199c40895c3
14b9822116d2
15642e03cc50
hex3835579758

241413101400 has 192 divisors, whose sum is σ = 806111262720. Its totient is φ = 59591347200.

The previous prime is 241413101399. The next prime is 241413101459. The reversal of 241413101400 is 4101314142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145644 + ... + 709956.

It is an arithmetic number, because the mean of its divisors is an integer number (4198496160).

Almost surely, 2241413101400 is an apocalyptic number.

241413101400 is a gapful number since it is divisible by the number (20) 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 241413101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403055631360).

241413101400 is an abundant number, since it is smaller than the sum of its proper divisors (564698161320).

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

241413101400 is a wasteful number, since it uses less digits than its factorization.

241413101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564386 (or 564377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 241413101400 its reverse (4101314142), we get a palindrome (245514415542).

The spelling of 241413101400 in words is "two hundred forty-one billion, four hundred thirteen million, one hundred one thousand, four hundred".