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15144142156143 = 37111326449190669
BaseRepresentation
bin1101110001100000010100…
…1101101011000101101111
31222121202200022020121000020
43130120011031223011233
53441110200342444033
652113042312133223
73122061650252640
oct334300515530557
958552608217006
1015144142156143
11490965a492960
121847052697213
1385b117cb6a30
143a4da229d6c7
151b3e01d3b6b3
hexdc60536b16f

15144142156143 has 64 divisors (see below), whose sum is σ = 27112358784000. Its totient is φ = 7261613660160.

The previous prime is 15144142156079. The next prime is 15144142156193. The reversal of 15144142156143 is 34165124144151.

It is not a de Polignac number, because 15144142156143 - 26 = 15144142156079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15144142156095 and 15144142156104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15144142156193) 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 63 ways as a sum of consecutive naturals, for example, 79331013 + ... + 79521681.

It is an arithmetic number, because the mean of its divisors is an integer number (423630606000).

Almost surely, 215144142156143 is an apocalyptic number.

15144142156143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

15144142156143 is a deficient number, since it is larger than the sum of its proper divisors (11968216627857).

15144142156143 is a wasteful number, since it uses less digits than its factorization.

15144142156143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217152.

The product of its digits is 230400, while the sum is 42.

The spelling of 15144142156143 in words is "fifteen trillion, one hundred forty-four billion, one hundred forty-two million, one hundred fifty-six thousand, one hundred forty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 26449 79347 185143 190669 290939 343837 555429 572007 872817 1031511 1334683 2036573 2097359 2406859 2478697 3782207 4004049 6109719 6292077 7220577 7436091 11346621 14681513 17350879 26475449 27265667 44044539 52052637 79426347 81797001 190859669 572579007 5043004381 15129013143 35301030667 55473048191 65559056953 105903092001 166419144573 196677170859 388311337337 458913398671 721149626483 1164934012011 1376740196013 2163448879449 5048047385381 15144142156143