Search a number
-
+
13231095840 = 2532519734657
BaseRepresentation
bin11000101001010001…
…01000000000100000
31021011002122022100200
430110220220000200
5204044130031330
610024524145200
7645610313304
oct142450500040
937132568320
1013231095840
11567a677156
122693098200
13132b2259c1
148d7323d04
1552689ea60
hex314a28020

13231095840 has 144 divisors (see below), whose sum is σ = 45183699288. Its totient is φ = 3525746688.

The previous prime is 13231095817. The next prime is 13231095847. The reversal of 13231095840 is 4859013231.

It can be written as a sum of positive squares in 4 ways, for example, as 6014933136 + 7216162704 = 77556^2 + 84948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13231095795 and 13231095804.

It is not an unprimeable number, because it can be changed into a prime (13231095847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838792 + ... + 2843448.

Almost surely, 213231095840 is an apocalyptic number.

13231095840 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 13231095840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591849644).

13231095840 is an abundant number, since it is smaller than the sum of its proper divisors (31952603448).

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

13231095840 is a wasteful number, since it uses less digits than its factorization.

13231095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 132310 and 95840, that added together give a triangular number (228150 = T675).

The spelling of 13231095840 in words is "thirteen billion, two hundred thirty-one million, ninety-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1973 3946 4657 5919 7892 9314 9865 11838 13971 15784 17757 18628 19730 23285 23676 27942 29595 31568 35514 37256 39460 41913 46570 47352 55884 59190 63136 69855 71028 74512 78920 83826 88785 93140 94704 111768 118380 139710 142056 149024 157840 167652 177570 186280 189408 209565 223536 236760 279420 284112 315680 335304 355140 372560 419130 447072 473520 558840 568224 670608 710280 745120 838260 947040 1117680 1341216 1420560 1676520 2235360 2841120 3353040 6706080 9188261 18376522 27564783 36753044 45941305 55129566 73506088 82694349 91882610 110259132 137823915 147012176 165388698 183765220 220518264 275647830 294024352 330777396 367530440 413471745 441036528 551295660 661554792 735060880 826943490 882073056 1102591320 1323109584 1470121760 1653886980 2205182640 2646219168 3307773960 4410365280 6615547920 13231095840