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5741233344 = 263471119757
BaseRepresentation
bin1010101100011010…
…00100010011000000
3112211010010212120000
411112031010103000
543224223431334
62345410320000
7262162451430
oct52615042300
915733125500
105741233344
11248685a650
121142889000
137065a6cc2
143c66d02c0
15239071299
hex1563444c0

5741233344 has 560 divisors, whose sum is σ = 22364517120. Its totient is φ = 1410877440.

The previous prime is 5741233331. The next prime is 5741233349. The reversal of 5741233344 is 4433321475.

5741233344 is a `hidden beast` number, since 574 + 12 + 3 + 33 + 44 = 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 = 5741233299 and 5741233308.

It is not an unprimeable number, because it can be changed into a prime (5741233349) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7583814 + ... + 7584570.

Almost surely, 25741233344 is an apocalyptic number.

5741233344 is a gapful number since it is divisible by the number (54) 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 5741233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11182258560).

5741233344 is an abundant number, since it is smaller than the sum of its proper divisors (16623283776).

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

5741233344 is a wasteful number, since it uses less digits than its factorization.

5741233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 5741233344 is about 75770.9267727405. The cubic root of 5741233344 is about 1790.6129985435.

The spelling of 5741233344 in words is "five billion, seven hundred forty-one million, two hundred thirty-three thousand, three hundred forty-four".