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141540424045141 = 1131723832625001
BaseRepresentation
bin100000001011101011110010…
…101100100101001001010101
3200120011010120111211221101211
4200023223302230211021111
5122022444242023421031
61221010435000221421
741545646440444462
oct4013536254451125
9616133514757354
10141540424045141
114110aa58471000
1213a5b59576a871
1360c92879b9534
1426d4843588669
151156bd06d0bb1
hex80baf2b25255

141540424045141 has 32 divisors (see below), whose sum is σ = 164910941646336. Its totient is φ = 121053240000000.

The previous prime is 141540424045063. The next prime is 141540424045187.

141540424045141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141540424045141 - 215 = 141540424012373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 141540424045094 and 141540424045103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141540424045541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52607641 + ... + 55232641.

It is an arithmetic number, because the mean of its divisors is an integer number (5153466926448).

Almost surely, 2141540424045141 is an apocalyptic number.

141540424045141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141540424045141 is a deficient number, since it is larger than the sum of its proper divisors (23370517601195).

141540424045141 is a wasteful number, since it uses less digits than its factorization.

141540424045141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627434 (or 2627412 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 40.

The spelling of 141540424045141 in words is "one hundred forty-one trillion, five hundred forty billion, four hundred twenty-four million, forty-five thousand, one hundred forty-one".

Divisors: 1 11 17 121 187 1331 2057 2383 22627 26213 40511 288343 445621 2625001 3171773 4901831 28875011 44625017 53920141 317625121 490875187 3493876331 5399627057 6255377383 59395897627 68809151213 106341415511 756900663343 1169755570621 8325907296773 12867311276831 141540424045141