Search a number
-
+
13401184129185 = 35199223108718521
BaseRepresentation
bin1100001100000011010011…
…0100011101000010100001
31202110010210120012220010210
43003000310310131002201
53224031111114113220
644300230300444333
72552126556420156
oct303006464350241
952403716186123
1013401184129185
1142a7457088956
1216052a55496a9
137629597220c8
1434489958622d
151838deed36e0
hexc3034d1d0a1

13401184129185 has 64 divisors (see below), whose sum is σ = 21667361587200. Its totient is φ = 7072597762560.

The previous prime is 13401184129181. The next prime is 13401184129187. The reversal of 13401184129185 is 58192148110431.

It is not a de Polignac number, because 13401184129185 - 22 = 13401184129181 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13401184129181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 723557725 + ... + 723576245.

It is an arithmetic number, because the mean of its divisors is an integer number (338552524800).

Almost surely, 213401184129185 is an apocalyptic number.

13401184129185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13401184129185 is a deficient number, since it is larger than the sum of its proper divisors (8266177458015).

13401184129185 is a wasteful number, since it uses less digits than its factorization.

13401184129185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20038.

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 13401184129185 in words is "thirteen trillion, four hundred one billion, one hundred eighty-four million, one hundred twenty-nine thousand, one hundred eighty-five".

Divisors: 1 3 5 15 199 223 597 669 995 1087 1115 2985 3261 3345 5435 16305 18521 44377 55563 92605 133131 216313 221885 242401 277815 648939 665655 727203 1081565 1212005 3244695 3636015 3685679 4130183 11057037 12390549 18428395 20132327 20650915 48237799 55285185 60396981 61952745 100661635 144713397 241188995 301984905 723566985 821906417 2465719251 4006333073 4109532085 4489508921 12018999219 12328596255 13468526763 20031665365 22447544605 60094996095 67342633815 893412275279 2680236825837 4467061376395 13401184129185