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141441104 = 247432683
BaseRepresentation
bin10000110111000…
…11100001010000
3100212010221201102
420123203201100
5242202103404
622011323532
73335141510
oct1033434120
9325127642
10141441104
1172926882
123b4505a8
13233c327c
1414adb840
15c63d71e
hex86e3850

141441104 has 60 divisors (see below), whose sum is σ = 321113376. Its totient is φ = 59121216.

The previous prime is 141441089. The next prime is 141441169. The reversal of 141441104 is 401144141.

It is a happy number.

141441104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 206747 + ... + 207429.

Almost surely, 2141441104 is an apocalyptic number.

141441104 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 141441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160556688).

141441104 is an abundant number, since it is smaller than the sum of its proper divisors (179672272).

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

141441104 is an equidigital number, since it uses as much as digits as its factorization.

141441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 141441104 is about 11892.9014121870. The cubic root of 141441104 is about 521.0249802899.

Adding to 141441104 its reverse (401144141), we get a palindrome (542585245).

The spelling of 141441104 in words is "one hundred forty-one million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 683 688 1204 1366 1849 2408 2732 3698 4781 4816 5464 7396 9562 10928 12943 14792 19124 25886 29369 29584 38248 51772 58738 76496 103544 117476 205583 207088 234952 411166 469904 822332 1262867 1644664 2525734 3289328 5051468 8840069 10102936 17680138 20205872 35360276 70720552 141441104