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4332142535121 = 332931194991573
BaseRepresentation
bin111111000010100111110…
…100010010000111010001
3120100011000110110200201000
4333002213310102013101
51031434211442110441
613114054145132213
7624662346655422
oct77024764220721
916304013420630
104332142535121
111420284582285
1259b72192a069
13255699b5099b
1410d969289649
1577a5040d2b6
hex3f0a7d121d1

4332142535121 has 64 divisors (see below), whose sum is σ = 6857061120000. Its totient is φ = 2697139710720.

The previous prime is 4332142535057. The next prime is 4332142535177. The reversal of 4332142535121 is 1215352412334.

4332142535121 is a `hidden beast` number, since 4 + 33 + 21 + 42 + 53 + 512 + 1 = 666.

4332142535121 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 4332142535121 - 26 = 4332142535057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4332142515121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47262291 + ... + 47353863.

It is an arithmetic number, because the mean of its divisors is an integer number (107141580000).

Almost surely, 24332142535121 is an apocalyptic number.

It is an amenable number.

4332142535121 is a deficient number, since it is larger than the sum of its proper divisors (2524918584879).

4332142535121 is a wasteful number, since it uses less digits than its factorization.

4332142535121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93591 (or 93585 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 4332142535121 its reverse (1215352412334), we get a palindrome (5547494947455).

The spelling of 4332142535121 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, five hundred thirty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 31 87 93 261 279 783 837 899 1949 2697 5847 8091 17541 24273 52623 56521 60419 91573 169563 181257 274719 508689 543771 824157 1526067 1631313 1752151 2472471 2655617 2838763 5256453 7966851 8516289 15769359 23900553 25548867 47308077 71701659 76646601 82324127 178475777 246972381 535427331 740917143 1606281993 2222751429 4818845979 5175797533 5532749087 15527392599 16598247261 46582177797 49794741783 139746533391 149384225349 160449723523 481349170569 1444047511707 4332142535121