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13310988240 = 24351115133391
BaseRepresentation
bin11000110010110010…
…11000111111010000
31021100122222021010110
430121121120333100
5204230103110430
610040500401320
7650600350614
oct143131307720
937318867113
1013310988240
115710784530
1226b59a6240
131341949104
14903b9d344
1552d8d17b0
hex319658fd0

13310988240 has 160 divisors (see below), whose sum is σ = 45314813952. Its totient is φ = 3205440000.

The previous prime is 13310988233. The next prime is 13310988259. The reversal of 13310988240 is 4288901331.

13310988240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381945 + ... + 415335.

Almost surely, 213310988240 is an apocalyptic number.

13310988240 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 13310988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657406976).

13310988240 is an abundant number, since it is smaller than the sum of its proper divisors (32003825712).

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

13310988240 is a wasteful number, since it uses less digits than its factorization.

13310988240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33569 (or 33563 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 13310988240 in words is "thirteen billion, three hundred ten million, nine hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 151 165 176 220 240 264 302 330 440 453 528 604 660 755 880 906 1208 1320 1510 1661 1812 2265 2416 2640 3020 3322 3624 4530 4983 6040 6644 7248 8305 9060 9966 12080 13288 16610 18120 19932 24915 26576 33220 33391 36240 39864 49830 66440 66782 79728 99660 100173 132880 133564 166955 199320 200346 267128 333910 367301 398640 400692 500865 534256 667820 734602 801384 1001730 1101903 1335640 1469204 1602768 1836505 2003460 2203806 2671280 2938408 3673010 4006920 4407612 5042041 5509515 5876816 7346020 8013840 8815224 10084082 11019030 14692040 15126123 17630448 20168164 22038060 25210205 29384080 30252246 40336328 44076120 50420410 55462451 60504492 75630615 80672656 88152240 100840820 110924902 121008984 151261230 166387353 201681640 221849804 242017968 277312255 302522460 332774706 403363280 443699608 554624510 605044920 665549412 831936765 887399216 1109249020 1210089840 1331098824 1663873530 2218498040 2662197648 3327747060 4436996080 6655494120 13310988240