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13243322040 = 23351361139169
BaseRepresentation
bin11000101010101110…
…10000111010111000
31021011221122110112220
430111113100322320
5204110242301130
610030042204040
7646116244224
oct142527207270
937157573486
1013243322040
115686567953
1226971b3620
131330916940
148d8bc7784
155279b7410
hex3155d0eb8

13243322040 has 128 divisors (see below), whose sum is σ = 43487841600. Its totient is φ = 3206430720.

The previous prime is 13243322017. The next prime is 13243322077. The reversal of 13243322040 is 4022334231.

13243322040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13243322040.

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, 25576 + ... + 164744.

Almost surely, 213243322040 is an apocalyptic number.

13243322040 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 13243322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21743920800).

13243322040 is an abundant number, since it is smaller than the sum of its proper divisors (30244519560).

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

13243322040 is a wasteful number, since it uses less digits than its factorization.

13243322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139257 (or 139253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13243322040 its reverse (4022334231), we get a palindrome (17265656271).

The spelling of 13243322040 in words is "thirteen billion, two hundred forty-three million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 244 260 305 312 366 390 488 520 610 732 780 793 915 1220 1464 1560 1586 1830 2379 2440 3172 3660 3965 4758 6344 7320 7930 9516 11895 15860 19032 23790 31720 47580 95160 139169 278338 417507 556676 695845 835014 1113352 1391690 1670028 1809197 2087535 2783380 3340056 3618394 4175070 5427591 5566760 7236788 8350140 8489309 9045985 10855182 14473576 16700280 16978618 18091970 21710364 25467927 27137955 33957236 36183940 42446545 43420728 50935854 54275910 67914472 72367880 84893090 101871708 108551820 110361017 127339635 169786180 203743416 217103640 220722034 254679270 331083051 339572360 441444068 509358540 551805085 662166102 882888136 1018717080 1103610170 1324332204 1655415255 2207220340 2648664408 3310830510 4414440680 6621661020 13243322040