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142141014 = 233193141109
BaseRepresentation
bin10000111100011…
…10011001010110
3100220110111211000
420132032121112
5242342003024
622034324130
73344115201
oct1036163126
9326414730
10142141014
1173264714
123b729646
13235a9a12
1414c40938
15c72acc9
hex878e656

142141014 has 128 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 41990400.

The previous prime is 142141009. The next prime is 142141031. The reversal of 142141014 is 410141241.

142141014 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 Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303992 + ... + 1304100.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2142141014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142141014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177408000).

142141014 is an abundant number, since it is smaller than the sum of its proper divisors (212674986).

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

142141014 is a wasteful number, since it uses less digits than its factorization.

142141014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

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

The square root of 142141014 is about 11922.2906356119. The cubic root of 142141014 is about 521.8829834150.

Adding to 142141014 its reverse (410141241), we get a palindrome (552282255).

The spelling of 142141014 in words is "one hundred forty-two million, one hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 31 38 41 54 57 62 82 93 109 114 123 171 186 218 246 279 327 342 369 513 558 589 654 738 779 837 981 1026 1107 1178 1271 1558 1674 1767 1962 2071 2214 2337 2542 2943 3379 3534 3813 4142 4469 4674 5301 5886 6213 6758 7011 7626 8938 10137 10602 11439 12426 13407 14022 15903 18639 20274 21033 22878 24149 26814 30411 31806 34317 37278 40221 42066 48298 55917 60822 64201 68634 72447 80442 84911 91233 111834 120663 128402 138539 144894 169822 182466 192603 217341 241326 254733 277078 385206 415617 434682 509466 577809 652023 764199 831234 1155618 1246851 1304046 1528398 1733427 2292597 2493702 2632241 3466854 3740553 4585194 5264482 7481106 7896723 15793446 23690169 47380338 71070507 142141014