Search a number
-
+
1241497008000 = 27325379109133
BaseRepresentation
bin10010000100001110111…
…111001111011110000000
311101200112001122112101200
4102010032333033132000
5130320041213224000
62350200313301200
7155460311310444
oct22041677173600
94350461575350
101241497008000
11439574771427
1218073aa04800
13900c3852702
144413585a824
1522462d2a500
hex1210efcf780

1241497008000 has 384 divisors, whose sum is σ = 4515004540800. Its totient is φ = 326872166400.

The previous prime is 1241497007983. The next prime is 1241497008013. The reversal of 1241497008000 is 8007941421.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11321434 + ... + 11430566.

It is an arithmetic number, because the mean of its divisors is an integer number (11757824325).

Almost surely, 21241497008000 is an apocalyptic number.

1241497008000 is a gapful number since it is divisible by the number (10) 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 1241497008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257502270400).

1241497008000 is an abundant number, since it is smaller than the sum of its proper divisors (3273507532800).

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

1241497008000 is a wasteful number, since it uses less digits than its factorization.

1241497008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109247 (or 109222 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1241497008000 in words is "one trillion, two hundred forty-one billion, four hundred ninety-seven million, eight thousand".