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4032042023440 = 24589566298037
BaseRepresentation
bin111010101011001000011…
…011101011101000010000
3112021110101221102010212001
4322223020123223220100
51012030110224222230
612324143341443344
7564206521500064
oct72531033535020
915243357363761
104032042023440
111314a85675082
1255152a870554
132332b225c712
14dd21aa61aa4
156ed38ee80ca
hex3aac86eba10

4032042023440 has 40 divisors (see below), whose sum is σ = 9479829156120. Its totient is φ = 1594695269376.

The previous prime is 4032042023381. The next prime is 4032042023441. The reversal of 4032042023440 is 443202402304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125837629696 + 3906204393744 = 354736^2 + 1976412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40320420234402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4032042023399 and 4032042023408.

It is not an unprimeable number, because it can be changed into a prime (4032042023441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283141899 + ... + 283156138.

It is an arithmetic number, because the mean of its divisors is an integer number (236995728903).

Almost surely, 24032042023440 is an apocalyptic number.

4032042023440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032042023440 is an abundant number, since it is smaller than the sum of its proper divisors (5447787132680).

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

4032042023440 is a wasteful number, since it uses less digits than its factorization.

4032042023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566298139 (or 566298133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 4032042023440 its reverse (443202402304), we get a palindrome (4475244425744).

The spelling of 4032042023440 in words is "four trillion, thirty-two billion, forty-two million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 566298037 1132596074 2265192148 2831490185 4530384296 5662980370 9060768592 11325960740 22651921480 45303842960 50400525293 100801050586 201602101172 252002626465 403204202344 504005252930 806408404688 1008010505860 2016021011720 4032042023440