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141287688 = 233210119429
BaseRepresentation
bin10000110101111…
…10000100001000
3100211212011021100
420122332010020
5242132201223
622004141400
73333632313
oct1032760410
9324764240
10141287688
1172831593
123b397860
132336b4a9
1414a9b97a
15c60d043
hex86be108

141287688 has 48 divisors (see below), whose sum is σ = 386462700. Its totient is φ = 46627200.

The previous prime is 141287683. The next prime is 141287693. The reversal of 141287688 is 886782141.

It is an interprime number because it is at equal distance from previous prime (141287683) and next prime (141287693).

It can be written as a sum of positive squares in 2 ways, for example, as 140707044 + 580644 = 11862^2 + 762^2 .

It is not an unprimeable number, because it can be changed into a prime (141287683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2443 + ... + 16986.

Almost surely, 2141287688 is an apocalyptic number.

141287688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141287688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193231350).

141287688 is an abundant number, since it is smaller than the sum of its proper divisors (245175012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141287688 is a wasteful number, since it uses less digits than its factorization.

141287688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19542 (or 19535 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 141287688 is about 11886.4497643325. The cubic root of 141287688 is about 520.8365332170.

The spelling of 141287688 in words is "one hundred forty-one million, two hundred eighty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 19429 38858 58287 77716 116574 155432 174861 233148 349722 466296 699444 1398888 1962329 3924658 5886987 7849316 11773974 15698632 17660961 23547948 35321922 47095896 70643844 141287688