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141104124 = 223272411951
BaseRepresentation
bin10000110100100…
…01001111111100
3100211111211110200
420122101033330
5242110312444
622000203500
73332236200
oct1032211774
9324454420
10141104124
1172716687
123b309590
1323305a85
1414a50b00
15c5c3969
hex86913fc

141104124 has 108 divisors (see below), whose sum is σ = 425251008. Its totient is φ = 39312000.

The previous prime is 141104123. The next prime is 141104143. The reversal of 141104124 is 421401141.

141104124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 141104097 and 141104106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141104123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71349 + ... + 73299.

Almost surely, 2141104124 is an apocalyptic number.

141104124 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 141104124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212625504).

141104124 is an abundant number, since it is smaller than the sum of its proper divisors (284146884).

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

141104124 is a wasteful number, since it uses less digits than its factorization.

141104124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141104124 is about 11878.7256892311. The cubic root of 141104124 is about 520.6108747904.

Adding to 141104124 its reverse (421401141), we get a palindrome (562505265).

The spelling of 141104124 in words is "one hundred forty-one million, one hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 49 63 82 84 98 123 126 147 164 196 246 252 287 294 369 441 492 574 588 738 861 882 1148 1476 1722 1764 1951 2009 2583 3444 3902 4018 5166 5853 6027 7804 8036 10332 11706 12054 13657 17559 18081 23412 24108 27314 35118 36162 40971 54628 70236 72324 79991 81942 95599 122913 159982 163884 191198 239973 245826 286797 319964 382396 479946 491652 559937 573594 719919 860391 959892 1119874 1147188 1439838 1679811 1720782 2239748 2879676 3359622 3441564 3919559 5039433 6719244 7839118 10078866 11758677 15678236 20157732 23517354 35276031 47034708 70552062 141104124