Search a number
-
+
13140240323300 = 2252677389301867
BaseRepresentation
bin1011111100110111001101…
…0110110101001011100100
31201112012020221102002121122
42333031303112311023210
53210242203010321200
643540313145233112
72524231255600616
oct277156326651344
951465227362548
1013140240323300
114206821108332
1215827bba92798
1374417228243c
14335dc3530db6
1517bc1b52a385
hexbf3735b52e4

13140240323300 has 144 divisors (see below), whose sum is σ = 29666065625280. Its totient is φ = 5049324656640.

The previous prime is 13140240323293. The next prime is 13140240323311. The reversal of 13140240323300 is 332304204131.

It is a self number, because there is not a number n which added to its sum of digits gives 13140240323300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43378967 + ... + 43680833.

It is an arithmetic number, because the mean of its divisors is an integer number (206014344620).

Almost surely, 213140240323300 is an apocalyptic number.

13140240323300 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 13140240323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833032812640).

13140240323300 is an abundant number, since it is smaller than the sum of its proper divisors (16525825301980).

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

13140240323300 is a wasteful number, since it uses less digits than its factorization.

13140240323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302110 (or 302103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13140240323300 its reverse (332304204131), we get a palindrome (13472544527431).

The spelling of 13140240323300 in words is "thirteen trillion, one hundred forty billion, two hundred forty million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 73 89 100 134 146 178 268 292 335 356 365 445 670 730 890 1340 1460 1675 1780 1825 2225 3350 3650 4450 4891 5963 6497 6700 7300 8900 9782 11926 12994 19564 23852 24455 25988 29815 32485 48910 59630 64970 97820 119260 122275 129940 149075 162425 244550 298150 301867 324850 435299 489100 596300 603734 649700 870598 1207468 1509335 1741196 2176495 3018670 4352990 6037340 7546675 8705980 10882475 15093350 20225089 21764950 22036291 26866163 30186700 40450178 43529900 44072582 53732326 80900356 88145164 101125445 107464652 110181455 134330815 202250890 220362910 268661630 404501780 440725820 505627225 537323260 550907275 671654075 1011254450 1101814550 1343308150 1476431497 1800032921 1961229899 2022508900 2203629100 2686616300 2952862994 3600065842 3922459798 5905725988 7200131684 7382157485 7844919596 9000164605 9806149495 14764314970 18000329210 19612298990 29528629940 36000658420 36910787425 39224597980 45000823025 49030747475 73821574850 90001646050 98061494950 131402403233 147643149700 180003292100 196122989900 262804806466 525609612932 657012016165 1314024032330 2628048064660 3285060080825 6570120161650 13140240323300