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32014124142 = 237111331171947
BaseRepresentation
bin11101110100001100…
…001100010001101110
310001122010020000021120
4131310030030101232
51011031103433032
622412421441410
72212224364620
oct356414142156
9101563200246
1032014124142
1112639158340
126255570266
133032746230
141799b3cc10
15c7587b62c
hex77430c46e

32014124142 has 128 divisors (see below), whose sum is σ = 88741675008. Its totient is φ = 7428067200.

The previous prime is 32014124053. The next prime is 32014124161. The reversal of 32014124142 is 24142141023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100213 + ... + 272159.

It is an arithmetic number, because the mean of its divisors is an integer number (693294336).

Almost surely, 232014124142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32014124142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44370837504).

32014124142 is an abundant number, since it is smaller than the sum of its proper divisors (56727550866).

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

32014124142 is a wasteful number, since it uses less digits than its factorization.

32014124142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172014.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 32014124142 its reverse (24142141023), we get a palindrome (56156265165).

The spelling of 32014124142 in words is "thirty-two billion, fourteen million, one hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 231 273 286 341 403 429 434 462 546 651 682 806 858 1001 1023 1209 1302 2002 2046 2387 2418 2821 3003 4433 4774 5642 6006 7161 8463 8866 13299 14322 16926 26598 31031 62062 93093 171947 186186 343894 515841 1031682 1203629 1891417 2235311 2407258 3610887 3782834 4470622 5330357 5674251 6705933 7221774 10660714 11348502 13239919 13411866 15647177 15991071 24588421 26479838 31294354 31982142 37312499 39719757 46941531 49176842 58633927 69294641 73765263 74624998 79439514 93883062 111937497 117267854 138589282 147530526 172118947 175901781 207883923 223874994 344237894 351803562 410437489 415767846 485062487 516356841 762241051 820874978 970124974 1032713682 1231312467 1455187461 1524482102 2286723153 2462624934 2910374922 4573446306 5335687357 10671374714 16007062071 32014124142