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13142413034120 = 2351576133413933
BaseRepresentation
bin1011111100111111010011…
…0111000100001010001000
31201112101212100202020112202
42333033310313010022020
53210311130214042440
643541312522055332
72524336150411526
oct277176467041210
951471770666482
1013142413034120
114207736599107
12158310764a548
1374442a44a946
1433614bd07316
1517bce7156615
hexbf3f4dc4288

13142413034120 has 64 divisors (see below), whose sum is σ = 29807330868720. Its totient is φ = 5214958654464.

The previous prime is 13142413034077. The next prime is 13142413034137. The reversal of 13142413034120 is 2143031424131.

It can be written as a sum of positive squares in 8 ways, for example, as 2689619680036 + 10452793354084 = 1640006^2 + 3233078^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2142674 + ... + 5556606.

Almost surely, 213142413034120 is an apocalyptic number.

13142413034120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142413034120 is an abundant number, since it is smaller than the sum of its proper divisors (16664917834600).

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

13142413034120 is a wasteful number, since it uses less digits than its factorization.

13142413034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414714 (or 3414710 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 13142413034120 its reverse (2143031424131), we get a palindrome (15285444458251).

The spelling of 13142413034120 in words is "thirteen trillion, one hundred forty-two billion, four hundred thirteen million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 613 628 785 1226 1256 1570 2452 3065 3140 4904 6130 6280 12260 24520 96241 192482 384964 481205 769928 962410 1924820 3413933 3849640 6827866 13655732 17069665 27311464 34139330 68278660 136557320 535987481 1071974962 2092740929 2143949924 2679937405 4185481858 4287899848 5359874810 8370963716 10463704645 10719749620 16741927432 20927409290 21439499240 41854818580 83709637160 328560325853 657120651706 1314241303412 1642801629265 2628482606824 3285603258530 6571206517060 13142413034120