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141086106 = 23273753571
BaseRepresentation
bin10000110100011…
…00110110011010
3100211110220202100
420122030312122
5242104223411
621555544230
73332132520
oct1032146632
9324426670
10141086106
1172704097
123b2bb076
13232ca805
1414a48310
15c5bd456
hex868cd9a

141086106 has 96 divisors (see below), whose sum is σ = 366208128. Its totient is φ = 38413440.

The previous prime is 141086089. The next prime is 141086119. The reversal of 141086106 is 601680141.

141086106 is a `hidden beast` number, since 1 + 41 + 0 + 8 + 610 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 141086106.

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 47 ways as a sum of consecutive naturals, for example, 246801 + ... + 247371.

It is an arithmetic number, because the mean of its divisors is an integer number (3814668).

Almost surely, 2141086106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141086106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183104064).

141086106 is an abundant number, since it is smaller than the sum of its proper divisors (225122022).

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

141086106 is a wasteful number, since it uses less digits than its factorization.

141086106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 141086106 is about 11877.9672503337. The cubic root of 141086106 is about 520.5887144032.

The spelling of 141086106 in words is "one hundred forty-one million, eighty-six thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 53 63 74 106 111 126 159 222 259 318 333 371 477 518 571 666 742 777 954 1113 1142 1554 1713 1961 2226 2331 3339 3426 3922 3997 4662 5139 5883 6678 7994 10278 11766 11991 13727 17649 21127 23982 27454 30263 35298 35973 41181 42254 60526 63381 71946 82362 90789 123543 126762 147889 181578 190143 211841 247086 272367 295778 380286 423682 443667 544734 635523 887334 1119731 1271046 1331001 1906569 2239462 2662002 3359193 3813138 6718386 7838117 10077579 15676234 20155158 23514351 47028702 70543053 141086106