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42024213231 = 371113173672243
BaseRepresentation
bin100111001000110101…
…101001101011101111
311000110201222020000220
4213020311221223233
51142031144310411
631150004422423
73015253630050
oct471065515357
9130421866026
1042024213231
1116905633440
1281899a7a13
133c69556980
14206936a727
15115e57db06
hex9c8d69aef

42024213231 has 128 divisors (see below), whose sum is σ = 79910240256. Its totient is φ = 18905978880.

The previous prime is 42024213173. The next prime is 42024213263. The reversal of 42024213231 is 13231242024.

It is a happy number.

It is not a de Polignac number, because 42024213231 - 211 = 42024211183 is a prime.

It is a super-2 number, since 2×420242132312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024013231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18734596 + ... + 18736838.

It is an arithmetic number, because the mean of its divisors is an integer number (624298752).

Almost surely, 242024213231 is an apocalyptic number.

42024213231 is a deficient number, since it is larger than the sum of its proper divisors (37886027025).

42024213231 is a wasteful number, since it uses less digits than its factorization.

42024213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42024213231 its reverse (13231242024), we get a palindrome (55255455255).

It can be divided in two parts, 42024 and 213231, that added together give a triangular number (255255 = T714).

The spelling of 42024213231 in words is "forty-two billion, twenty-four million, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 119 143 187 221 231 273 357 367 429 561 663 1001 1101 1309 1547 2243 2431 2569 3003 3927 4037 4641 4771 6239 6729 7293 7707 12111 14313 15701 17017 18717 24673 28259 29159 33397 38131 43673 47103 51051 52481 68629 74019 81107 84777 87477 100191 114393 131019 157443 172711 204113 205887 243321 266917 320749 367367 419441 480403 495703 518133 567749 612339 800751 823181 892177 962247 1102101 1258323 1441209 1487109 1703247 2245243 2469543 2676531 2936087 3469921 5452733 5762267 6245239 6735729 8808261 9054991 10409763 10701353 13994077 16358199 17286801 18735717 27164973 32104059 38169131 41982231 63384937 74909471 97958539 114507393 117714883 153934847 181923001 190154811 224728413 293875617 353144649 461804541 545769003 824004181 1077543929 1273461007 2001153011 2472012543 3232631787 3820383021 6003459033 14008071077 42024213231