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5340342144 = 27335339397
BaseRepresentation
bin1001111100100111…
…10010011110000000
3111210011210111012210
410332103302132000
541414111422034
62241530022120
7246224105424
oct47623623600
914704714183
105340342144
1122a0536105
121050577940
13671512b87
14389376b84
15213c838e9
hex13e4f2780

5340342144 has 64 divisors (see below), whose sum is σ = 14225829840. Its totient is φ = 1775026176.

The previous prime is 5340342061. The next prime is 5340342187. The reversal of 5340342144 is 4412430435.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115854 + ... + 155250.

Almost surely, 25340342144 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 5340342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112914920).

5340342144 is an abundant number, since it is smaller than the sum of its proper divisors (8885487696).

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

5340342144 is a wasteful number, since it uses less digits than its factorization.

5340342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39767 (or 39755 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 5340342144 is about 73077.6446254256. The cubic root of 5340342144 is about 1747.9259394672.

Adding to 5340342144 its reverse (4412430435), we get a palindrome (9752772579).

The spelling of 5340342144 in words is "five billion, three hundred forty million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 353 384 706 1059 1412 2118 2824 4236 5648 8472 11296 16944 22592 33888 39397 45184 67776 78794 118191 135552 157588 236382 315176 472764 630352 945528 1260704 1891056 2521408 3782112 5042816 7564224 13907141 15128448 27814282 41721423 55628564 83442846 111257128 166885692 222514256 333771384 445028512 667542768 890057024 1335085536 1780114048 2670171072 5340342144