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13155331440 = 2435157349133
BaseRepresentation
bin11000100000001111…
…00110110101110000
31020221211002002010210
430100013212311300
5203420231101230
610013220224120
7644000320656
oct142007466560
936854062123
1013155331440
115640929249
12267183b040
1313186194b4
148cb240dd6
1551edd5eb0
hex3101e6d70

13155331440 has 80 divisors (see below), whose sum is σ = 41041399968. Its totient is φ = 3485733888.

The previous prime is 13155331439. The next prime is 13155331529. The reversal of 13155331440 is 4413355131.

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

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 = 13155331398 and 13155331407.

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, 136887 + ... + 212246.

Almost surely, 213155331440 is an apocalyptic number.

13155331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13155331440 is an abundant number, since it is smaller than the sum of its proper divisors (27886068528).

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

13155331440 is a wasteful number, since it uses less digits than its factorization.

13155331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349306 (or 349300 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13155331440 its reverse (4413355131), we get a palindrome (17568686571).

The spelling of 13155331440 in words is "thirteen billion, one hundred fifty-five million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 349133 698266 1047399 1396532 1745665 2094798 2793064 3491330 4189596 5236995 5586128 6982660 8379192 10473990 13965320 16758384 20947980 27930640 41895960 54813881 83791920 109627762 164441643 219255524 274069405 328883286 438511048 548138810 657766572 822208215 877022096 1096277620 1315533144 1644416430 2192555240 2631066288 3288832860 4385110480 6577665720 13155331440