Search a number
-
+
13140232312005 = 335427272278069
BaseRepresentation
bin1011111100110111001011…
…1000010001010011000101
31201112012020101100002012000
42333031302320101103011
53210242143432441010
643540312301415513
72524231130523231
oct277156270212305
951465211302160
1013140232312005
114206817636327
1215827b926a599
13744170708b26
14335dc24475c1
1517bc1a9967c0
hexbf372e114c5

13140232312005 has 32 divisors (see below), whose sum is σ = 23360969990400. Its totient is φ = 7007956802496.

The previous prime is 13140232311989. The next prime is 13140232312069. The reversal of 13140232312005 is 50021323204131.

13140232312005 is a `hidden beast` number, since 1 + 3 + 1 + 402 + 3 + 231 + 20 + 0 + 5 = 666.

It is not a de Polignac number, because 13140232312005 - 24 = 13140232311989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13140232312005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4629111 + ... + 6907179.

It is an arithmetic number, because the mean of its divisors is an integer number (730030312200).

Almost surely, 213140232312005 is an apocalyptic number.

13140232312005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140232312005 is a deficient number, since it is larger than the sum of its proper divisors (10220737678395).

13140232312005 is a wasteful number, since it uses less digits than its factorization.

13140232312005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320810 (or 2320804 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13140232312005 its reverse (50021323204131), we get a palindrome (63161555516136).

The spelling of 13140232312005 in words is "thirteen trillion, one hundred forty billion, two hundred thirty-two million, three hundred twelve thousand, five".

Divisors: 1 3 5 9 15 27 45 135 42727 128181 213635 384543 640905 1153629 1922715 2278069 5768145 6834207 11390345 20502621 34171035 61507863 102513105 307539315 97335054163 292005162489 486675270815 876015487467 1460025812445 2628046462401 4380077437335 13140232312005