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3240334144032 = 253311088821957
BaseRepresentation
bin101111001001110010111…
…101110011001000100000
3102110202212110100202212220
4233021302331303020200
5411042201020102112
610520331114151040
7453051333526536
oct57116275631040
912422773322786
103240334144032
11103a244170307
12443bb9422480
131a67401c569b
14b2b93ac6156
155944dba598c
hex2f272f73220

3240334144032 has 48 divisors (see below), whose sum is σ = 8780260269312. Its totient is φ = 1045269077760.

The previous prime is 3240334143997. The next prime is 3240334144079. The reversal of 3240334144032 is 2304414330423.

It is a happy number.

3240334144032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3240334143984 and 3240334144002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544408003 + ... + 544413954.

It is an arithmetic number, because the mean of its divisors is an integer number (182922088944).

Almost surely, 23240334144032 is an apocalyptic number.

3240334144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3240334144032 is an abundant number, since it is smaller than the sum of its proper divisors (5539926125280).

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

3240334144032 is a wasteful number, since it uses less digits than its factorization.

3240334144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088822001 (or 1088821993 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 3240334144032 its reverse (2304414330423), we get a palindrome (5544748474455).

The spelling of 3240334144032 in words is "three trillion, two hundred forty billion, three hundred thirty-four million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 1088821957 2177643914 3266465871 4355287828 6532931742 8710575656 13065863484 17421151312 26131726968 33753480667 34842302624 52263453936 67506961334 101260442001 104526907872 135013922668 202520884002 270027845336 405041768004 540055690672 810083536008 1080111381344 1620167072016 3240334144032