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142111431 = 327111943251
BaseRepresentation
bin10000111100001…
…11001011000111
3100220102000020100
420132013023013
5242340031211
622033535143
73343633020
oct1036071307
9326360210
10142111431
1173244470
123b7144b3
1323599407
1414c33c47
15c722156
hex87872c7

142111431 has 96 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 68040000.

The previous prime is 142111427. The next prime is 142111439. The reversal of 142111431 is 134111241.

142111431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142111431 - 22 = 142111427 is a prime.

It is a super-2 number, since 2×1421114312 = 40391317641735522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142111439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566056 + ... + 566306.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2142111431 is an apocalyptic number.

142111431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142111431 is a deficient number, since it is larger than the sum of its proper divisors (134645049).

142111431 is a wasteful number, since it uses less digits than its factorization.

142111431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 142111431 is about 11921.0499118157. The cubic root of 142111431 is about 521.8467753916.

Adding to 142111431 its reverse (134111241), we get a palindrome (276222672).

The spelling of 142111431 in words is "one hundred forty-two million, one hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 7 9 11 19 21 33 43 57 63 77 99 129 133 171 209 231 251 301 387 399 473 627 693 753 817 903 1197 1419 1463 1757 1881 2259 2451 2709 2761 3311 4257 4389 4769 5271 5719 7353 8283 8987 9933 10793 13167 14307 15813 17157 19327 24849 26961 29799 32379 33383 42921 51471 52459 57981 62909 75551 80883 97137 100149 118723 157377 173943 188727 205067 226653 300447 356169 367213 472131 566181 615201 679959 831061 1068507 1101639 1435469 1845603 2255737 2493183 3304917 4306407 6767211 7479549 12919221 15790159 20301633 47370477 142111431