Search a number
-
+
5743062144 = 273221123627
BaseRepresentation
bin1010101100101000…
…00010110010000000
3112211020120210012100
411112110002302000
543230210442034
62345513430400
7262214136261
oct52624026200
915736523170
105743062144
112487899656
12114340b400
13706a97531
143c6a48968
152392d3099
hex156502c80

5743062144 has 96 divisors (see below), whose sum is σ = 16605285840. Its totient is φ = 1905200640.

The previous prime is 5743062121. The next prime is 5743062161. The reversal of 5743062144 is 4412603475.

5743062144 is a `hidden beast` number, since 5 + 7 + 430 + 6 + 214 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 5743062099 and 5743062108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231259 + ... + 254885.

Almost surely, 25743062144 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 5743062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302642920).

5743062144 is an abundant number, since it is smaller than the sum of its proper divisors (10862223696).

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

5743062144 is a wasteful number, since it uses less digits than its factorization.

5743062144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23858 (or 23843 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5743062144 is about 75782.9937650922. The cubic root of 5743062144 is about 1790.8031043515.

The spelling of 5743062144 in words is "five billion, seven hundred forty-three million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 576 633 844 1152 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 13504 15192 20256 23627 27008 30384 40512 47254 60768 70881 81024 94508 121536 141762 189016 212643 243072 283524 378032 425286 567048 756064 850572 1134096 1512128 1701144 2268192 3024256 3402288 4536384 4985297 6804576 9072768 9970594 13609152 14955891 19941188 27218304 29911782 39882376 44867673 59823564 79764752 89735346 119647128 159529504 179470692 239294256 319059008 358941384 478588512 638118016 717882768 957177024 1435765536 1914354048 2871531072 5743062144