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2454020045040 = 2435413313672053
BaseRepresentation
bin100011101101011110111…
…111100011100011110000
322200121020212122211122210
4203231132333203203300
5310201313112420130
65115210010132120
7342203622132534
oct43553677434360
98617225584583
102454020045040
11866820380603
12337732421040
1314a54a7618b5
1486abd233bc4
1543c7c1505b0
hex23b5efe38f0

2454020045040 has 320 divisors, whose sum is σ = 7841670100992. Its totient is φ = 634471833600.

The previous prime is 2454020045023. The next prime is 2454020045063. The reversal of 2454020045040 is 405400204542.

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

It is a junction number, because it is equal to n+sod(n) for n = 2454020044989 and 2454020045007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1195332654 + ... + 1195334706.

Almost surely, 22454020045040 is an apocalyptic number.

2454020045040 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 2454020045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920835050496).

2454020045040 is an abundant number, since it is smaller than the sum of its proper divisors (5387650055952).

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

2454020045040 is a wasteful number, since it uses less digits than its factorization.

2454020045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 2454020045040 its reverse (405400204542), we get a palindrome (2859420249582).

The spelling of 2454020045040 in words is "two trillion, four hundred fifty-four billion, twenty million, forty-five thousand, forty".