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5323445040 = 2435191116131
BaseRepresentation
bin1001111010100110…
…10101001100110000
3111202000000000202010
410331103111030300
541400300220130
62240123522520
7245630351634
oct47523251460
914660000663
105323445040
112291a45061
121046989440
1366ab77ba4
14387018dc4
152125470b0
hex13d4d5330

5323445040 has 80 divisors (see below), whose sum is σ = 16589223936. Its totient is φ = 1412140800.

The previous prime is 5323445011. The next prime is 5323445047. The reversal of 5323445040 is 405443235.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 5323444989 and 5323445007.

It is not an unprimeable number, because it can be changed into a prime (5323445047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12226 + ... + 103905.

Almost surely, 25323445040 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 5323445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294611968).

5323445040 is an abundant number, since it is smaller than the sum of its proper divisors (11265778896).

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

5323445040 is a wasteful number, since it uses less digits than its factorization.

5323445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116338 (or 116332 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 5323445040 is about 72961.9424083542. The cubic root of 5323445040 is about 1746.0804839764.

Adding to 5323445040 its reverse (405443235), we get a palindrome (5728888275).

The spelling of 5323445040 in words is "five billion, three hundred twenty-three million, four hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 15280 22920 45840 116131 232262 348393 464524 580655 696786 929048 1161310 1393572 1741965 1858096 2322620 2787144 3483930 4645240 5574288 6967860 9290480 13935720 22181021 27871440 44362042 66543063 88724084 110905105 133086126 177448168 221810210 266172252 332715315 354896336 443620420 532344504 665430630 887240840 1064689008 1330861260 1774481680 2661722520 5323445040