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5741412840 = 2334537471019
BaseRepresentation
bin1010101100011011…
…10000000111101000
3112211010110222210000
411112031300013220
543224300202330
62345414223000
7262164126642
oct52615600750
915733428700
105741412840
112486972499
121142954a60
1370663a907
143c6739892
152390a9560
hex1563701e8

5741412840 has 320 divisors, whose sum is σ = 20260627200. Its totient is φ = 1456538112.

The previous prime is 5741412827. The next prime is 5741412863. The reversal of 5741412840 is 482141475.

It is a happy number.

5741412840 is a `hidden beast` number, since 574 + 1 + 4 + 1 + 2 + 84 + 0 = 666.

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 = 5741412795 and 5741412804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5633851 + ... + 5634869.

It is an arithmetic number, because the mean of its divisors is an integer number (63314460).

Almost surely, 25741412840 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 5741412840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130313600).

5741412840 is an abundant number, since it is smaller than the sum of its proper divisors (14519214360).

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

5741412840 is a wasteful number, since it uses less digits than its factorization.

5741412840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5741412840 is about 75772.1112283405. Note that the first 3 decimals coincide. The cubic root of 5741412840 is about 1790.6316591403.

The spelling of 5741412840 in words is "five billion, seven hundred forty-one million, four hundred twelve thousand, eight hundred forty".