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5133120440 = 235726434073
BaseRepresentation
bin1001100011111010…
…10011001110111000
3111020201212112110212
410301331103032320
541003034323230
62205204330252
7241126542500
oct46175231670
914221775425
105133120440
1121a45703a8
12bb30a3988
1363a5ca796
14369a34a00
1520099e895
hex131f533b8

5133120440 has 96 divisors (see below), whose sum is σ = 13459355280. Its totient is φ = 1756758528.

The previous prime is 5133120407. The next prime is 5133120467. The reversal of 5133120440 is 440213315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258244 + ... + 1262316.

Almost surely, 25133120440 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 5133120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729677640).

5133120440 is an abundant number, since it is smaller than the sum of its proper divisors (8326234840).

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

5133120440 is a wasteful number, since it uses less digits than its factorization.

5133120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5133120440 is about 71645.7984811391. The cubic root of 5133120440 is about 1725.0187426375.

Adding to 5133120440 its reverse (440213315), we get a palindrome (5573333755).

The spelling of 5133120440 in words is "five billion, one hundred thirty-three million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 643 980 1286 1960 2572 3215 4073 4501 5144 6430 8146 9002 12860 16292 18004 20365 22505 25720 28511 31507 32584 36008 40730 45010 57022 63014 81460 90020 114044 126028 142555 157535 162920 180040 199577 228088 252056 285110 315070 399154 570220 630140 798308 997885 1140440 1260280 1596616 1995770 2618939 3991540 5237878 7983080 10475756 13094695 18332573 20951512 26189390 36665146 52378780 73330292 91662865 104757560 128328011 146660584 183325730 256656022 366651460 513312044 641640055 733302920 1026624088 1283280110 2566560220 5133120440