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13243131440 = 2457112149859
BaseRepresentation
bin11000101010101101…
…00010011000110000
31021011221021210002122
430111112202120300
5204110220201230
610030034133412
7646114521440
oct142526423060
937157253078
1013243131440
115686447730
122697121268
13133087ac66
148d8b78120
1552797abe5
hex3155a2630

13243131440 has 80 divisors (see below), whose sum is σ = 38387900160. Its totient is φ = 4127727360.

The previous prime is 13243131439. The next prime is 13243131449. The reversal of 13243131440 is 4413134231.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13243131449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068770 + ... + 1081089.

It is an arithmetic number, because the mean of its divisors is an integer number (479848752).

Almost surely, 213243131440 is an apocalyptic number.

13243131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13243131440 is an abundant number, since it is smaller than the sum of its proper divisors (25144768720).

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

13243131440 is a wasteful number, since it uses less digits than its factorization.

13243131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149890 (or 2149884 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13243131440 its reverse (4413134231), we get a palindrome (17656265671).

The spelling of 13243131440 in words is "thirteen billion, two hundred forty-three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 2149859 4299718 8599436 10749295 15049013 17198872 21498590 23648449 30098026 34397744 42997180 47296898 60196052 75245065 85994360 94593796 118242245 120392104 150490130 165539143 171988720 189187592 236484490 240784208 300980260 331078286 378375184 472968980 601960520 662156572 827695715 945937960 1203921040 1324313144 1655391430 1891875920 2648626288 3310782860 6621565720 13243131440