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40134042 = 23413171959
BaseRepresentation
bin1001100100011…
…0010110011010
32210112000120000
42121012112122
540233242132
63552113430
7665063604
oct231062632
983460500
1040134042
1120722333
1211535876
138412870
14548a174
1537cb87c
hex264659a

40134042 has 160 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 10824192.

The previous prime is 40134001. The next prime is 40134043. The reversal of 40134042 is 24043104.

It is a super-2 number, since 2×401340422 = 3221482654515528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40134043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 680209 + ... + 680267.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 240134042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40134042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

40134042 is an abundant number, since it is smaller than the sum of its proper divisors (69637158).

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

40134042 is a wasteful number, since it uses less digits than its factorization.

40134042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40134042 is about 6335.1434080059. The cubic root of 40134042 is about 342.3767777380.

Adding to 40134042 its reverse (24043104), we get a palindrome (64177146).

It can be divided in two parts, 401 and 34042, that added together give a palindrome (34443).

The spelling of 40134042 in words is "forty million, one hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 59 78 81 102 114 117 118 153 162 171 177 221 234 247 306 323 342 351 354 442 459 494 513 531 646 663 702 741 767 918 969 1003 1026 1053 1062 1121 1326 1377 1482 1534 1539 1593 1938 1989 2006 2106 2223 2242 2301 2754 2907 3009 3078 3186 3363 3978 4199 4446 4602 4779 5814 5967 6018 6669 6726 6903 8398 8721 9027 9558 10089 11934 12597 13039 13338 13806 14573 17442 17901 18054 19057 20007 20178 20709 25194 26078 26163 27081 29146 30267 35802 37791 38114 39117 40014 41418 43719 52326 54162 57171 60534 62127 75582 78234 81243 87438 90801 113373 114342 117351 124254 131157 162486 171513 181602 226746 234702 247741 262314 340119 343026 352053 393471 495482 514539 680238 704106 743223 786942 1029078 1056159 1180413 1486446 1543617 2112318 2229669 2360826 3087234 4459338 6689007 13378014 20067021 40134042