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5311544340 = 22353113121799
BaseRepresentation
bin1001111001001011…
…11011110000010100
3111201011121102001110
410330211323300110
541334223404330
62235020455020
7245424245004
oct47445736024
914634542043
105311544340
112286256973
1210429aa470
1366856c15b
143855dc004
15211495db0
hex13c97bc14

5311544340 has 96 divisors (see below), whose sum is σ = 15469977600. Its totient is φ = 1360195200.

The previous prime is 5311544299. The next prime is 5311544347. The reversal of 5311544340 is 434451135.

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 = 5311544298 and 5311544307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5311544347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232761 + ... + 254559.

It is an arithmetic number, because the mean of its divisors is an integer number (161145600).

Almost surely, 25311544340 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 5311544340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734988800).

5311544340 is an abundant number, since it is smaller than the sum of its proper divisors (10158433260).

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

5311544340 is a wasteful number, since it uses less digits than its factorization.

5311544340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21973 (or 21971 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5311544340 is about 72880.3426171969. The cubic root of 5311544340 is about 1744.7783770669.

Adding to 5311544340 its reverse (434451135), we get a palindrome (5745995475).

The spelling of 5311544340 in words is "five billion, three hundred eleven million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 131 155 186 262 310 372 393 465 524 620 655 786 930 1310 1572 1860 1965 2620 3930 4061 7860 8122 12183 16244 20305 21799 24366 40610 43598 48732 60915 65397 81220 87196 108995 121830 130794 217990 243660 261588 326985 435980 653970 675769 1307940 1351538 2027307 2703076 2855669 3378845 4054614 5711338 6757690 8109228 8567007 10136535 11422676 13515380 14278345 17134014 20273070 28556690 34268028 40546140 42835035 57113380 85670070 88525739 171340140 177051478 265577217 354102956 442628695 531154434 885257390 1062308868 1327886085 1770514780 2655772170 5311544340