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13040431040 = 265713447817
BaseRepresentation
bin11000010010100010…
…10010111111000000
31020122210212112102102
430021101102333000
5203201322243130
65553553405532
7641103556250
oct141121227700
936583775372
1013040431040
115591a8a93a
12263b2698a8
1312ca8897b0
148b9c91960
15514c8b645
hex309452fc0

13040431040 has 112 divisors (see below), whose sum is σ = 38218579392. Its totient is φ = 4127072256.

The previous prime is 13040431037. The next prime is 13040431067. The reversal of 13040431040 is 4013404031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 194789 + ... + 253028.

It is an arithmetic number, because the mean of its divisors is an integer number (341237316).

Almost surely, 213040431040 is an apocalyptic number.

13040431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13040431040 is an abundant number, since it is smaller than the sum of its proper divisors (25178148352).

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

13040431040 is a wasteful number, since it uses less digits than its factorization.

13040431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447854 (or 447844 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13040431040 its reverse (4013404031), we get a palindrome (17053835071).

The spelling of 13040431040 in words is "thirteen billion, forty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 447817 895634 1791268 2239085 3134719 3582536 4478170 5821621 6269438 7165072 8956340 11643242 12538876 14330144 15673595 17912680 23286484 25077752 28660288 29108105 31347190 35825360 40751347 46572968 50155504 58216210 62694380 71650720 81502694 93145936 100311008 116432420 125388760 143301440 163005388 186291872 200622016 203756735 232864840 250777520 326010776 372583744 407513470 465729680 501555040 652021552 815026940 931459360 1003110080 1304043104 1630053880 1862918720 2608086208 3260107760 6520215520 13040431040