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141007104 = 2832721249
BaseRepresentation
bin10000110011110…
…01100100000000
3100211022220101100
420121321210000
5242044211404
621554134400
73331353300
oct1031714400
9324286340
10141007104
117265a7a7
123b281400
13232a0874
1414a27600
15c5a4d39
hex8679900

141007104 has 162 divisors, whose sum is σ = 473313750. Its totient is φ = 40255488.

The previous prime is 141007091. The next prime is 141007121. The reversal of 141007104 is 401700141.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 25401600 = 10752^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112272 + ... + 113520.

Almost surely, 2141007104 is an apocalyptic number.

141007104 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 141007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236656875).

141007104 is an abundant number, since it is smaller than the sum of its proper divisors (332306646).

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

141007104 is a wasteful number, since it uses less digits than its factorization.

141007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 141007104 is about 11874.6412156326. The cubic root of 141007104 is about 520.4915273503.

Adding to 141007104 its reverse (401700141), we get a palindrome (542707245).

The spelling of 141007104 in words is "one hundred forty-one million, seven thousand, one hundred four".