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141280104 = 23371734861
BaseRepresentation
bin10000110101111…
…00001101101000
3100211211202212110
420122330031220
5242131430404
622004042320
73333601230
oct1032741550
9324752773
10141280104
1172826919
123b3933a0
1323367bc4
1414a98cc0
15c60ab89
hex86bc368

141280104 has 64 divisors (see below), whose sum is σ = 406074240. Its totient is φ = 40124160.

The previous prime is 141280079. The next prime is 141280127. The reversal of 141280104 is 401082141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26634 + ... + 31494.

It is an arithmetic number, because the mean of its divisors is an integer number (6344910).

Almost surely, 2141280104 is an apocalyptic number.

141280104 is a gapful number since it is divisible by the number (14) 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 141280104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203037120).

141280104 is an abundant number, since it is smaller than the sum of its proper divisors (264794136).

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

141280104 is a wasteful number, since it uses less digits than its factorization.

141280104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 141280104 is about 11886.1307413304. The cubic root of 141280104 is about 520.8272139455.

The spelling of 141280104 in words is "one hundred forty-one million, two hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 173 346 519 692 1038 1211 1384 2076 2422 3633 4152 4844 4861 7266 9688 9722 14532 14583 19444 29064 29166 34027 38888 58332 68054 102081 116664 136108 204162 272216 408324 816648 840953 1681906 2522859 3363812 5045718 5886671 6727624 10091436 11773342 17660013 20182872 23546684 35320026 47093368 70640052 141280104