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141387783141 = 3111013132433
BaseRepresentation
bin1000001110101101011…
…1100101101111100101
3111111221120001120022210
42003223113211233211
54304030233030031
6144541434514033
713133502220203
oct2035327455745
9444846046283
10141387783141
1154a64799160
122349a595919
1310443253b57
146bb3a80073
153a279a1746
hex20eb5e5be5

141387783141 has 48 divisors (see below), whose sum is σ = 208838008512. Its totient is φ = 84374784000.

The previous prime is 141387783139. The next prime is 141387783181.

It is a happy number.

141387783141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141387783141 - 21 = 141387783139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141387783101) 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, 326530461 + ... + 326530893.

It is an arithmetic number, because the mean of its divisors is an integer number (4350791844).

Almost surely, 2141387783141 is an apocalyptic number.

141387783141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141387783141 is a deficient number, since it is larger than the sum of its proper divisors (67450225371).

141387783141 is a wasteful number, since it uses less digits than its factorization.

141387783141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 861 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The spelling of 141387783141 in words is "one hundred forty-one billion, three hundred eighty-seven million, seven hundred eighty-three thousand, one hundred forty-one".

Divisors: 1 3 11 33 101 303 313 433 939 1111 1299 3333 3443 4763 10329 14289 31613 43733 94839 97969 131199 135529 293907 347743 406587 481063 1043229 1077659 1443189 1490819 3232977 4472457 9894869 13688429 29684607 41065287 42420577 108843559 127261731 150572719 326530677 451718157 466626347 1399879041 4284478277 12853434831 47129261047 141387783141