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4142311114431 = 3721012003139291
BaseRepresentation
bin111100010001110100111…
…110111000011010111111
3112200000000210011100200010
4330101310332320122333
51020331423121130211
612450541303034303
7605162221344300
oct74216476703277
915600023140603
104142311114431
1113578206a8236
1256a98373b993
13240806424759
141046bb8907a7
1572b3ea464a6
hex3c474fb86bf

4142311114431 has 48 divisors (see below), whose sum is σ = 6491707003008. Its totient is φ = 2342412072000.

The previous prime is 4142311114427. The next prime is 4142311114499. The reversal of 4142311114431 is 1344111132414.

It is not a de Polignac number, because 4142311114431 - 22 = 4142311114427 is a prime.

It is a super-2 number, since 2×41423111144312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142311114411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29668896 + ... + 29808186.

It is an arithmetic number, because the mean of its divisors is an integer number (135243895896).

Almost surely, 24142311114431 is an apocalyptic number.

4142311114431 is a deficient number, since it is larger than the sum of its proper divisors (2349395888577).

4142311114431 is a wasteful number, since it uses less digits than its factorization.

4142311114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141412 (or 141405 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

Adding to 4142311114431 its reverse (1344111132414), we get a palindrome (5486422246845).

The spelling of 4142311114431 in words is "four trillion, one hundred forty-two billion, three hundred eleven million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 101 147 303 707 2003 2121 4949 6009 14021 14847 42063 98147 139291 202303 294441 417873 606909 975037 1416121 2925111 4248363 6825259 9912847 14068391 20475777 29738541 42205173 98478737 278999873 295436211 689351159 836999619 1952999111 2068053477 5858997333 13670993777 28178987173 41012981331 84536961519 197252910211 591758730633 1380770371477 4142311114431