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13141423401012 = 2232738956185861
BaseRepresentation
bin1011111100111011100111…
…0111111010100000110100
31201112022022101120200010200
42333032321313322200310
53210302113342313022
643541030410520500
72524302502566024
oct277167167724064
951468271520120
1013141423401012
114207278a06105
121582a90136130
1374430040031a
143360966d7a84
1517bc8a321bac
hexbf3b9dfa834

13141423401012 has 72 divisors (see below), whose sum is σ = 34052003523720. Its totient is φ = 4271923307520.

The previous prime is 13141423400981. The next prime is 13141423401103. The reversal of 13141423401012 is 21010432414131.

It is a happy number.

13141423401012 is a `hidden beast` number, since 1 + 3 + 1 + 414 + 234 + 0 + 1 + 0 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43075342116 + 13098348058896 = 207546^2 + 3619164^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27859039 + ... + 28326822.

It is an arithmetic number, because the mean of its divisors is an integer number (472944493385).

Almost surely, 213141423401012 is an apocalyptic number.

13141423401012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13141423401012 is an abundant number, since it is smaller than the sum of its proper divisors (20910580122708).

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

13141423401012 is a wasteful number, since it uses less digits than its factorization.

13141423401012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56186033 (or 56186028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13141423401012 its reverse (21010432414131), we get a palindrome (34151855815143).

The spelling of 13141423401012 in words is "thirteen trillion, one hundred forty-one billion, four hundred twenty-three million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 89 146 178 219 267 292 356 438 534 657 801 876 1068 1314 1602 2628 3204 6497 12994 19491 25988 38982 58473 77964 116946 233892 56185861 112371722 168557583 224743444 337115166 505672749 674230332 1011345498 2022690996 4101567853 5000541629 8203135706 10001083258 12304703559 15001624887 16406271412 20002166516 24609407118 30003249774 36914110677 45004874661 49218814236 60006499548 73828221354 90009749322 147656442708 180019498644 365039538917 730079077834 1095118616751 1460158155668 2190237233502 3285355850253 4380474467004 6570711700506 13141423401012