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42114044412 = 2232112919319001
BaseRepresentation
bin100111001110001100…
…010101000111111100
311000201000000010020200
4213032030111013330
51142222143410122
631202534043500
73020424320406
oct471614250774
9130630003220
1042114044412
1116951309990
1281b3aa9590
133c82049b0b
142077271b76
1511673c55ac
hex9ce3151fc

42114044412 has 144 divisors (see below), whose sum is σ = 120766070880. Its totient is φ = 12257280000.

The previous prime is 42114044353. The next prime is 42114044471. The reversal of 42114044412 is 21444041124.

It is a happy number.

42114044412 is a `hidden beast` number, since 4 + 211 + 4 + 0 + 4 + 441 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42114044353) and next prime (42114044471).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2206912 + ... + 2225912.

It is an arithmetic number, because the mean of its divisors is an integer number (838653270).

Almost surely, 242114044412 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 42114044412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383035440).

42114044412 is an abundant number, since it is smaller than the sum of its proper divisors (78652026468).

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

42114044412 is a wasteful number, since it uses less digits than its factorization.

42114044412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19244 (or 19239 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 42114044412 its reverse (21444041124), we get a palindrome (63558085536).

The spelling of 42114044412 in words is "forty-two billion, one hundred fourteen million, forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 193 198 261 319 348 386 396 522 579 638 772 957 1044 1158 1276 1737 1914 2123 2316 2871 3474 3828 4246 5597 5742 6369 6948 8492 11194 11484 12738 16791 19001 19107 22388 25476 33582 38002 38214 50373 57003 61567 67164 76004 76428 100746 114006 123134 171009 184701 201492 209011 228012 246268 342018 369402 418022 551029 554103 627033 684036 738804 836044 1102058 1108206 1254066 1653087 1881099 2204116 2216412 2508132 3306174 3667193 3762198 4959261 6061319 6612348 7334386 7524396 9918522 11001579 12122638 14668772 18183957 19837044 22003158 24245276 33004737 36367914 40339123 44006316 54551871 66009474 72735828 80678246 106348597 109103742 121017369 132018948 161356492 212697194 218207484 242034738 319045791 363052107 425394388 484069476 638091582 726104214 957137373 1169834567 1276183164 1452208428 1914274746 2339669134 3509503701 3828549492 4679338268 7019007402 10528511103 14038014804 21057022206 42114044412