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542435232231 = 32192233716543
BaseRepresentation
bin1111110010010111010…
…10001100100111100111
31220212010020120212100100
413321023222030213213
532341401404412411
61053105153315143
754122023253514
oct7711352144747
91825106525310
10542435232231
1119a055602562
1289164565ab3
133c1c78a3649
141c37adc230b
15e19b300456
hex7e4ba8c9e7

542435232231 has 36 divisors (see below), whose sum is σ = 830475929088. Its totient is φ = 341119850688.

The previous prime is 542435232223. The next prime is 542435232319. The reversal of 542435232231 is 132232534245.

542435232231 is a `hidden beast` number, since 5 + 42 + 4 + 352 + 32 + 231 = 666.

It is not a de Polignac number, because 542435232231 - 23 = 542435232223 is a prime.

It is a super-2 number, since 2×5424352322312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542435233231) 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 35 ways as a sum of consecutive naturals, for example, 398746 + ... + 1115288.

It is an arithmetic number, because the mean of its divisors is an integer number (23068775808).

Almost surely, 2542435232231 is an apocalyptic number.

542435232231 is a deficient number, since it is larger than the sum of its proper divisors (288040696857).

542435232231 is a wasteful number, since it uses less digits than its factorization.

542435232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716820 (or 716798 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 542435232231 its reverse (132232534245), we get a palindrome (674667766476).

The spelling of 542435232231 in words is "five hundred forty-two billion, four hundred thirty-five million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 19 57 171 233 361 699 1083 2097 3249 4427 13281 39843 84113 252339 716543 757017 2149629 6448887 13614317 40842951 122528853 166954519 258672023 500863557 776016069 1502590671 2328048207 3172135861 9516407583 28549222749 60270581359 180811744077 542435232231