Search a number
-
+
3524424240000 = 2735425035867
BaseRepresentation
bin110011010010011000000…
…011100000101110000000
3110110221011011222221021010
4303102120003200232000
5430221010101140000
611255033111000520
7512426342514306
oct63223003405600
913427134887233
103524424240000
111139777669194
1248b082669140
131c7475b248a1
14c2823c2a276
1561a29718d50
hex334980e0b80

3524424240000 has 320 divisors, whose sum is σ = 11705113664640. Its totient is φ = 939310848000.

The previous prime is 3524424239971. The next prime is 3524424240013. The reversal of 3524424240000 is 424244253.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3524424240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 600717067 + ... + 600722933.

It is an arithmetic number, because the mean of its divisors is an integer number (36578480202).

Almost surely, 23524424240000 is an apocalyptic number.

3524424240000 is a gapful number since it is divisible by the number (30) 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 3524424240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852556832320).

3524424240000 is an abundant number, since it is smaller than the sum of its proper divisors (8180689424640).

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

3524424240000 is an equidigital number, since it uses as much as digits as its factorization.

3524424240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 3524424240000 its reverse (424244253), we get a palindrome (3524848484253).

The spelling of 3524424240000 in words is "three trillion, five hundred twenty-four billion, four hundred twenty-four million, two hundred forty thousand".