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141351153141 = 311412392711613
BaseRepresentation
bin1000001110100100101…
…1110110110111110101
3111111212000010120102010
42003221023312313311
54303441343400031
6144534045434433
713132545656202
oct2035113666765
9444760116363
10141351153141
1154a4604a530
122348a26ba19
131043879a1b3
146bacc66ca9
153a24668246
hex20e92f6df5

141351153141 has 64 divisors (see below), whose sum is σ = 212409630720. Its totient is φ = 82869696000.

The previous prime is 141351153089. The next prime is 141351153161.

141351153141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141351153141 - 26 = 141351153077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141351153099 and 141351153108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141351153161) 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, 87631651 + ... + 87633263.

It is an arithmetic number, because the mean of its divisors is an integer number (3318900480).

Almost surely, 2141351153141 is an apocalyptic number.

141351153141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141351153141 is a deficient number, since it is larger than the sum of its proper divisors (71058477579).

141351153141 is a wasteful number, since it uses less digits than its factorization.

141351153141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178.

The product of its digits is 3600, while the sum is 30.

It can be divided in two parts, 141351 and 153141, that added together give a palindrome (294492).

The spelling of 141351153141 in words is "one hundred forty-one billion, three hundred fifty-one million, one hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 3 11 33 41 123 239 271 451 717 813 1353 1613 2629 2981 4839 7887 8943 9799 11111 17743 29397 33333 53229 64769 66133 107789 122221 194307 198399 323367 366663 385507 437123 712459 727463 1156521 1311369 2137377 2182389 2655529 4240577 4808353 7966587 12721731 14425059 15805787 17922043 29210819 47417361 53766129 87632457 104472397 173863657 197142473 313417191 521590971 591427419 1149196367 3447589101 4283368277 12850104831 47117051047 141351153141