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42040422404024 = 23114312356347041
BaseRepresentation
bin10011000111100010011000…
…11100011000111110111000
312111212000200022122202011112
421203301030130120332320
521002242241113412044
6225225034201415452
711566214600235152
oct1143611434307670
9174760608582145
1042040422404024
1112439274501330
12486b87049a588
131a5c5195683a5
14a54aa568dad2
154cd87b81d09e
hex263c4c718fb8

42040422404024 has 64 divisors (see below), whose sum is σ = 86196780218880. Its totient is φ = 19063731456000.

The previous prime is 42040422403999. The next prime is 42040422404033.

42040422404024 is nontrivially palindromic in base 10.

42040422404024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893673944 + ... + 893720984.

It is an arithmetic number, because the mean of its divisors is an integer number (1346824690920).

Almost surely, 242040422404024 is an apocalyptic number.

42040422404024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42040422404024 is an abundant number, since it is smaller than the sum of its proper divisors (44156357814856).

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

42040422404024 is a wasteful number, since it uses less digits than its factorization.

42040422404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71052 (or 71048 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4204042 and 2404024, that added together give a palindrome (6608066).

The spelling of 42040422404024 in words is "forty-two trillion, forty billion, four hundred twenty-two million, four hundred four thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 431 862 1724 3448 4741 9482 18964 23563 37928 47041 47126 94082 94252 188164 188504 259193 376328 517451 518386 1034902 1036772 2069804 2073544 4139608 10155653 20274671 20311306 40549342 40622612 81098684 81245224 111712183 162197368 223021381 223424366 446042762 446848732 892085524 893697464 1108427083 1784171048 2216854166 4433708332 8867416664 12192697913 24385395826 48770791652 97541583304 477732072773 955464145546 1910928291092 3821856582184 5255052800503 10510105601006 21020211202012 42040422404024