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54114533541145 = 57111088211291637
BaseRepresentation
bin11000100110111100001011…
…00011001000010100011001
321002121022001212220200202101
430103132011203020110121
524043103031041304040
6311031512402403401
714253434405442640
oct1423360543102431
9232538055820671
1054114533541145
111627393246a390
12609b913960561
132426c95036b1c
14d5122bc88357
1563c99ac2909a
hex3137858c8519

54114533541145 has 32 divisors (see below), whose sum is σ = 80961771131136. Its totient is φ = 33733399084800.

The previous prime is 54114533541119. The next prime is 54114533541203.

54114533541145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54114533541145 - 221 = 54114531443993 is a prime.

It is a super-2 number, since 2×541145335411452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54114533541095 and 54114533541104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41250267 + ... + 42541903.

It is an arithmetic number, because the mean of its divisors is an integer number (2530055347848).

Almost surely, 254114533541145 is an apocalyptic number.

54114533541145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54114533541145 is a deficient number, since it is larger than the sum of its proper divisors (26847237589991).

54114533541145 is a wasteful number, since it uses less digits than its factorization.

54114533541145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400481.

The product of its digits is 1440000, while the sum is 46.

It can be divided in two parts, 5411453 and 3541145, that added together give a palindrome (8952598).

The spelling of 54114533541145 in words is "fifty-four trillion, one hundred fourteen billion, five hundred thirty-three million, five hundred forty-one thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 55 77 385 108821 544105 761747 1197031 1291637 3808735 5985155 6458185 8379217 9041459 14208007 41896085 45207295 71040035 99456049 497280245 140557229977 702786149885 983900609839 1546129529747 4919503049195 7730647648735 10822906708229 54114533541145