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40435000242 = 237131739710973
BaseRepresentation
bin100101101010000111…
…010010001110110010
310212100222120211122120
4211222013102032302
51130302330001432
630324154215110
72631005555040
oct455207221662
9125328524576
1040435000242
111616a55a17a
127a05724496
133a75229a60
141d58283390
1510b9cb0c2c
hex96a1d23b2

40435000242 has 128 divisors (see below), whose sum is σ = 105662237184. Its totient is φ = 10010677248.

The previous prime is 40435000223. The next prime is 40435000267. The reversal of 40435000242 is 24200053404.

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, 3679468 + ... + 3690440.

It is an arithmetic number, because the mean of its divisors is an integer number (825486228).

Almost surely, 240435000242 is an apocalyptic number.

40435000242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40435000242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52831118592).

40435000242 is an abundant number, since it is smaller than the sum of its proper divisors (65227236942).

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

40435000242 is a wasteful number, since it uses less digits than its factorization.

40435000242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412.

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 40435000242 its reverse (24200053404), we get a palindrome (64635053646).

The spelling of 40435000242 in words is "forty billion, four hundred thirty-five million, two hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 397 442 546 663 714 794 1191 1326 1547 2382 2779 3094 4641 5161 5558 6749 8337 9282 10322 10973 13498 15483 16674 20247 21946 30966 32919 36127 40494 47243 65838 72254 76811 87737 94486 108381 141729 142649 153622 175474 186541 216762 230433 263211 283458 285298 373082 427947 460866 526422 559623 614159 855894 998543 1119246 1228318 1305787 1842477 1997086 2425033 2611574 2995629 3684954 3917361 4356281 4850066 5991258 7275099 7834722 8712562 13068843 14550198 16975231 26137686 30493967 33950462 50925693 56631653 60987934 74056777 91481901 101851386 113263306 148113554 169894959 182963802 222170331 339789918 396421571 444340662 518397439 792843142 962738101 1036794878 1189264713 1555192317 1925476202 2378529426 2888214303 3110384634 5776428606 6739166707 13478333414 20217500121 40435000242