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141127404 = 2231117611031
BaseRepresentation
bin10000110100101…
…10111011101100
3100211120000101220
420122112323230
5242112034104
622000503340
73332364105
oct1032267354
9324500356
10141127404
1172732120
123b31ab50
1323313552
1414a593ac
15c5ca7d9
hex8696eec

141127404 has 96 divisors (see below), whose sum is σ = 386975232. Its totient is φ = 39552000.

The previous prime is 141127403. The next prime is 141127411. The reversal of 141127404 is 404721141.

It is not an unprimeable number, because it can be changed into a prime (141127403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136369 + ... + 137399.

It is an arithmetic number, because the mean of its divisors is an integer number (4030992).

Almost surely, 2141127404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141127404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193487616).

141127404 is an abundant number, since it is smaller than the sum of its proper divisors (245847828).

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

141127404 is a wasteful number, since it uses less digits than its factorization.

141127404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 141127404 is about 11879.7055519066. The cubic root of 141127404 is about 520.6395041324.

Adding to 141127404 its reverse (404721141), we get a palindrome (545848545).

The spelling of 141127404 in words is "one hundred forty-one million, one hundred twenty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 61 66 68 102 122 132 183 187 204 244 366 374 561 671 732 748 1031 1037 1122 1342 2013 2062 2074 2244 2684 3093 3111 4026 4124 4148 6186 6222 8052 11341 11407 12372 12444 17527 22682 22814 34023 34221 35054 45364 45628 52581 62891 68046 68442 70108 105162 125782 136092 136884 188673 192797 210324 251564 377346 385594 578391 691801 754692 771188 1069147 1156782 1383602 2075403 2138294 2313564 2767204 3207441 4150806 4276588 6414882 8301612 11760617 12829764 23521234 35281851 47042468 70563702 141127404