Search a number
-
+
14531240142315 = 3351377723106531
BaseRepresentation
bin1101001101110101000101…
…1010000010010111101011
31220110011200002222022211000
43103131101122002113223
53401034434434023230
650523320511010043
73026563451144151
oct323352132022753
956404602868730
1014531240142315
1146a2734260416
121768302b09923
138153a0374820
1438345c6b93d1
151a2ece474b60
hexd37516825eb

14531240142315 has 64 divisors (see below), whose sum is σ = 27821113044480. Its totient is φ = 7153682106240.

The previous prime is 14531240142281. The next prime is 14531240142347. The reversal of 14531240142315 is 51324104213541.

14531240142315 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 12 + 401 + 4 + 231 + 5 = 666.

It is not a de Polignac number, because 14531240142315 - 27 = 14531240142187 is a prime.

It is a super-2 number, since 2×145312401423152 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14531240142315.

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 63 ways as a sum of consecutive naturals, for example, 136350600 + ... + 136457130.

It is an arithmetic number, because the mean of its divisors is an integer number (434704891320).

Almost surely, 214531240142315 is an apocalyptic number.

14531240142315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14531240142315 is a deficient number, since it is larger than the sum of its proper divisors (13289872902165).

14531240142315 is a wasteful number, since it uses less digits than its factorization.

14531240142315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184281 (or 184275 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 14531240142315 its reverse (51324104213541), we get a palindrome (65855344355856).

The spelling of 14531240142315 in words is "fourteen trillion, five hundred thirty-one billion, two hundred forty million, one hundred forty-two thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 77723 106531 233169 319593 388615 532655 699507 958779 1010399 1165845 1384903 1597965 2098521 2876337 3031197 3497535 4154709 4793895 5051995 6924515 9093591 10492605 12464127 14381685 15155985 20773545 27280773 37392381 45467955 62320635 136403865 186961905 8279908913 24839726739 41399544565 74519180217 107638815869 124198633695 223557540651 322916447607 372595901085 538194079345 968749342821 1117787703255 1614582238035 2906248028463 4843746714105 14531240142315