Search a number
-
+
5154454103040 = 210365112101113
BaseRepresentation
bin100101100000001110101…
…1001111110010000000000
3200020202112202202112000000
41023000131121332100000
51133422310222244130
614543531252000000
71041253114655424
oct113003531762000
920222482675000
105154454103040
111707a9aa68200
126b2b74300000
132b50a836a548
1413b6968d6b84
158e12c375260
hex4b01d67e400

5154454103040 has 1848 divisors, whose sum is σ = 20760887690424. Its totient is φ = 1226244096000.

The previous prime is 5154454103039. The next prime is 5154454103047. The reversal of 5154454103040 is 403014544515.

5154454103040 is a `hidden beast` number, since 5 + 1 + 5 + 44 + 541 + 0 + 30 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417667497984 + 4736786605056 = 646272^2 + 2176416^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5154454102986 and 5154454103004.

It is not an unprimeable number, because it can be changed into a prime (5154454103047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 45614638024 + ... + 45614638136.

Almost surely, 25154454103040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5154454103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10380443845212).

5154454103040 is an abundant number, since it is smaller than the sum of its proper divisors (15606433587384).

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

5154454103040 is a wasteful number, since it uses less digits than its factorization.

5154454103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 5154454103040 its reverse (403014544515), we get a palindrome (5557468647555).

The spelling of 5154454103040 in words is "five trillion, one hundred fifty-four billion, four hundred fifty-four million, one hundred three thousand, forty".