Search a number
-
+
13140314201430 = 2325132863925983
BaseRepresentation
bin1011111100110111011111…
…0000101001110101010110
31201112012110002102111100200
42333031313300221311112
53210242330413421210
643540324344521330
72524233143546013
oct277156760516526
951465402374320
1013140314201430
114206859888039
121582820780246
1374418467b200
14335dcd28270a
1517bc22c700c0
hexbf377c29d56

13140314201430 has 72 divisors (see below), whose sum is σ = 36995038486848. Its totient is φ = 3234538876608.

The previous prime is 13140314201429. The next prime is 13140314201431. The reversal of 13140314201430 is 3410241304131.

13140314201430 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 14 + 201 + 43 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13140314201429) and next prime (13140314201431).

It is a super-2 number, since 2×131403142014302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13140314201394 and 13140314201403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140314201431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 431947782 + ... + 431978201.

It is an arithmetic number, because the mean of its divisors is an integer number (513819978984).

Almost surely, 213140314201430 is an apocalyptic number.

13140314201430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13140314201430 is an abundant number, since it is smaller than the sum of its proper divisors (23854724285418).

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

13140314201430 is a wasteful number, since it uses less digits than its factorization.

13140314201430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863926022 (or 863926006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13140314201430 its reverse (3410241304131), we get a palindrome (16550555505561).

The spelling of 13140314201430 in words is "thirteen trillion, one hundred forty billion, three hundred fourteen million, two hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 863925983 1727851966 2591777949 4319629915 5183555898 7775333847 8639259830 11231037779 12958889745 15550667694 22462075558 25917779490 33693113337 38876669235 56155188895 67386226674 77753338470 101079340011 112310377790 146003491127 168465566685 202158680022 292006982254 336931133370 438010473381 505396700055 730017455635 876020946762 1010793400110 1314031420143 1460034911270 2190052366905 2628062840286 4380104733810 6570157100715 13140314201430