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40842354042 = 23272517611697
BaseRepresentation
bin100110000010011001…
…001101110101111010
310220102101002120000100
4212002121031311322
51132121120312132
630432425220230
72644053165330
oct460231156572
9126371076010
1040842354042
1116359498106
127aba031676
133b0b7445c9
141d963ddb50
1510e092837c
hex98264dd7a

40842354042 has 96 divisors (see below), whose sum is σ = 101729706624. Its totient is φ = 11600640000.

The previous prime is 40842354037. The next prime is 40842354071. The reversal of 40842354042 is 24045324804.

40842354042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40842353988 and 40842354006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24066538 + ... + 24068234.

It is an arithmetic number, because the mean of its divisors is an integer number (1059684444).

Almost surely, 240842354042 is an apocalyptic number.

40842354042 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 40842354042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50864853312).

40842354042 is an abundant number, since it is smaller than the sum of its proper divisors (60887352582).

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

40842354042 is a wasteful number, since it uses less digits than its factorization.

40842354042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 40842354042 its reverse (24045324804), we get a palindrome (64887678846).

The spelling of 40842354042 in words is "forty billion, eight hundred forty-two million, three hundred fifty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 502 753 761 1506 1522 1697 1757 2259 2283 3394 3514 4518 4566 5091 5271 5327 6849 10182 10542 10654 11879 13698 15273 15813 15981 23758 30546 31626 31962 35637 47943 71274 95886 106911 191011 213822 382022 425947 573033 851894 1146066 1277841 1291417 1337077 1719099 2555682 2582834 2674154 2981629 3438198 3833523 3874251 4011231 5963258 7667046 7748502 8022462 8944887 9039919 11622753 12033693 17889774 18079838 23245506 24067386 26834661 27119757 53669322 54239514 81359271 162718542 324145667 648291334 972437001 1944874002 2269019669 2917311003 4538039338 5834622006 6807059007 13614118014 20421177021 40842354042