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141133323331141 = 7313752127086221
BaseRepresentation
bin100000000101110000101001…
…100110100110011001000101
3200111201012202222000220222121
4200011300221212212121011
5121444312021233044031
61220055430443125541
741504355214456411
oct4005605146463105
9614635688026877
10141133323331141
1140a73340756129
12139b47005138b1
136099a7a24179b
1426bcc6432dd41
15114b305727011
hex805c299a6645

141133323331141 has 16 divisors (see below), whose sum is σ = 144387548511408. Its totient is φ = 137918698444800.

The previous prime is 141133323331139. The next prime is 141133323331157.

141133323331141 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1116297902500 + 140017025428641 = 1056550^2 + 11832879^2 .

It is a cyclic number.

It is not a de Polignac number, because 141133323331141 - 21 = 141133323331139 is a prime.

It is a super-2 number, since 2×1411333233311412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141133323331097 and 141133323331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141133323331241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8332590 + ... + 18753631.

It is an arithmetic number, because the mean of its divisors is an integer number (9024221781963).

Almost surely, 2141133323331141 is an apocalyptic number.

It is an amenable number.

141133323331141 is a deficient number, since it is larger than the sum of its proper divisors (3254225180267).

141133323331141 is a wasteful number, since it uses less digits than its factorization.

141133323331141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27086952.

The product of its digits is 23328, while the sum is 34.

The spelling of 141133323331141 in words is "one hundred forty-one trillion, one hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 73 137 521 10001 38033 71377 5210521 27086221 1977294133 3710812277 14111921141 270889296221 1030170243293 1933333196317 141133323331141