Search a number
-
+
152450244505440 = 2532574710113922921
BaseRepresentation
bin100010101010011100010110…
…101010110110111101100000
3201222210002201122210100102100
4202222130112222312331200
5124440221100043133230
61300122401523250400
744053111114334160
oct4252342652667540
9658702648710370
10152450244505440
1144636870721002
1215121a66519a00
13670acc5048abb
1429908ba0485a0
1512958a9d96660
hex8aa716ab6f60

152450244505440 has 1152 divisors, whose sum is σ = 617656608092160. Its totient is φ = 33522315264000.

The previous prime is 152450244505411. The next prime is 152450244505513. The reversal of 152450244505440 is 44505442054251.

152450244505440 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 50 + 2 + 4 + 4 + 50 + 544 + 0 = 666.

152450244505440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6651105180 + ... + 6651128100.

It is an arithmetic number, because the mean of its divisors is an integer number (536160250080).

Almost surely, 2152450244505440 is an apocalyptic number.

152450244505440 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 152450244505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308828304046080).

152450244505440 is an abundant number, since it is smaller than the sum of its proper divisors (465206363586720).

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

152450244505440 is a wasteful number, since it uses less digits than its factorization.

152450244505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23236 (or 23225 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

Adding to 152450244505440 its reverse (44505442054251), we get a palindrome (196955686559691).

The spelling of 152450244505440 in words is "one hundred fifty-two trillion, four hundred fifty billion, two hundred forty-four million, five hundred five thousand, four hundred forty".