Search a number
-
+
14527070149317 = 3113189331589663
BaseRepresentation
bin1101001101100101100011…
…0110110001101011000101
31220102202220111101201210220
43103121120312301223011
53401002414424234232
650521351025334553
73026355224611155
oct323313066615305
956382814351726
1014527070149317
1146a0994419a10
12176753a497459
13814b8747404b
14383184954765
151a2d3832142c
hexd3658db1ac5

14527070149317 has 32 divisors (see below), whose sum is σ = 21814361358336. Its totient is φ = 8519316590400.

The previous prime is 14527070149297. The next prime is 14527070149337. The reversal of 14527070149317 is 71394107072541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14527070149297) and next prime (14527070149337).

It is not a de Polignac number, because 14527070149317 - 28 = 14527070149061 is a prime.

It is a super-2 number, since 2×145270701493172 (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 14527070149317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14527070149337) by changing a digit.

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, 8343628 + ... + 9933290.

It is an arithmetic number, because the mean of its divisors is an integer number (681698792448).

Almost surely, 214527070149317 is an apocalyptic number.

It is an amenable number.

14527070149317 is a deficient number, since it is larger than the sum of its proper divisors (7287291209019).

14527070149317 is a wasteful number, since it uses less digits than its factorization.

14527070149317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598641.

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 14527070149317 in words is "fourteen trillion, five hundred twenty-seven billion, seventy million, one hundred forty-nine thousand, three hundred seventeen".

Divisors: 1 3 11 31 33 93 341 1023 8933 26799 98263 276923 294789 830769 1589663 3046153 4768989 9138459 17486293 49279553 52458879 147838659 542075083 1626225249 14200459579 42601378737 156205055369 440214246949 468615166107 1320642740847 4842356716439 14527070149317