Search a number
-
+
15314126320 = 2451771158597
BaseRepresentation
bin11100100001100101…
…10000010111110000
31110112021020012222201
432100302300113300
5222330404020240
611011334512544
71051332632413
oct162062602760
943467205881
1015314126320
116549474849
122b74805754
1315a095190c
14a53c33b7a
155e96b3d9a
hex390cb05f0

15314126320 has 80 divisors (see below), whose sum is σ = 38230999488. Its totient is φ = 5684080640.

The previous prime is 15314126299. The next prime is 15314126323. The reversal of 15314126320 is 2362141351.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15314126323) 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, 17262 + ... + 175858.

Almost surely, 215314126320 is an apocalyptic number.

15314126320 is a gapful number since it is divisible by the number (10) 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 15314126320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19115499744).

15314126320 is an abundant number, since it is smaller than the sum of its proper divisors (22916873168).

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

15314126320 is a wasteful number, since it uses less digits than its factorization.

15314126320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158698 (or 158692 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 15314126320 its reverse (2362141351), we get a palindrome (17676267671).

The spelling of 15314126320 in words is "fifteen billion, three hundred fourteen million, one hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 170 272 284 340 355 568 680 710 1136 1207 1360 1420 2414 2840 4828 5680 6035 9656 12070 19312 24140 48280 96560 158597 317194 634388 792985 1268776 1585970 2537552 2696149 3171940 5392298 6343880 10784596 11260387 12687760 13480745 21569192 22520774 26961490 43138384 45041548 53922980 56301935 90083096 107845960 112603870 180166192 191426579 215691920 225207740 382853158 450415480 765706316 900830960 957132895 1531412632 1914265790 3062825264 3828531580 7657063160 15314126320