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5315144000 = 26534315451
BaseRepresentation
bin1001111001100111…
…01010100101000000
3111201102101021212012
410330303222211000
541341134102000
62235225552052
7245466656435
oct47463524500
914642337765
105315144000
1122882953a1
121044045628
1366922c72a
14385c97b8c
15211957735
hex13ccea940

5315144000 has 112 divisors (see below), whose sum is σ = 13469941056. Its totient is φ = 2076480000.

The previous prime is 5315143997. The next prime is 5315144039. The reversal of 5315144000 is 4415135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336275 + ... + 351725.

Almost surely, 25315144000 is an apocalyptic number.

5315144000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5315144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734970528).

5315144000 is an abundant number, since it is smaller than the sum of its proper divisors (8154797056).

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

5315144000 is a wasteful number, since it uses less digits than its factorization.

5315144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15521 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5315144000 is about 72905.0341197369. The cubic root of 5315144000 is about 1745.1724363879.

Adding to 5315144000 its reverse (4415135), we get a palindrome (5319559135).

The spelling of 5315144000 in words is "five billion, three hundred fifteen million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 125 160 172 200 215 250 320 344 400 430 500 688 800 860 1000 1075 1376 1600 1720 2000 2150 2752 3440 4000 4300 5375 6880 8000 8600 10750 13760 15451 17200 21500 30902 34400 43000 61804 68800 77255 86000 123608 154510 172000 247216 309020 344000 386275 494432 618040 664393 772550 988864 1236080 1328786 1545100 1931375 2472160 2657572 3090200 3321965 3862750 4944320 5315144 6180400 6643930 7725500 10630288 12360800 13287860 15451000 16609825 21260576 24721600 26575720 30902000 33219650 42521152 53151440 61804000 66439300 83049125 106302880 123608000 132878600 166098250 212605760 265757200 332196500 531514400 664393000 1063028800 1328786000 2657572000 5315144000