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114275572411 = 721113210112421
BaseRepresentation
bin110101001101101011…
…0101101101010111011
3101220222001122120002211
41222123112231222323
53333014021304121
6124255242035551
711153566224100
oct1523326555273
9356861576084
10114275572411
1144511643a30
121a1927a8bb7
13aa12245900
145760d8caa7
152e8c653ce1
hex1a9b5adabb

114275572411 has 72 divisors (see below), whose sum is σ = 158598431568. Its totient is φ = 81375840000.

The previous prime is 114275572387. The next prime is 114275572417.

It is a happy number.

114275572411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114275572411 - 29 = 114275571899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114275572417) 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 71 ways as a sum of consecutive naturals, for example, 9193981 + ... + 9206401.

It is an arithmetic number, because the mean of its divisors is an integer number (2202755994).

Almost surely, 2114275572411 is an apocalyptic number.

114275572411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114275572411 is a deficient number, since it is larger than the sum of its proper divisors (44322859157).

114275572411 is a wasteful number, since it uses less digits than its factorization.

114275572411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12553 counting only the distinct ones).

The product of its digits is 78400, while the sum is 40.

It can be divided in two parts, 114275 and 572411, that added together give a palindrome (686686).

The spelling of 114275572411 in words is "one hundred fourteen billion, two hundred seventy-five million, five hundred seventy-two thousand, four hundred eleven".

Divisors: 1 7 11 13 49 77 91 101 143 169 539 637 707 1001 1111 1183 1313 1859 4949 7007 7777 8281 9191 12421 13013 14443 17069 54439 64337 86947 91091 101101 119483 136631 161473 187759 608629 707707 836381 956417 1130311 1254521 1314313 1776203 2099149 6694919 7912177 8781647 9200191 12433421 13799731 14694043 16308773 23090639 61471529 87033947 96598117 102858301 114161411 161634473 179396503 212014049 676186819 799129877 1131441311 1255775521 1484098343 2332154539 8790428647 10388688401 16325081773 114275572411