Search a number
-
+
3342320131440 = 243573190771697
BaseRepresentation
bin110000101000110001110…
…011011101110101110000
3102211112010000222201200210
4300220301303131311300
5414230032423201230
611035235103544120
7463321544236023
oct60506163356560
912745100881623
103342320131440
111079519642114
1245b9202bb040
131b32442b43b4
14b7aaa7d51ba
155be1c435eb0
hex30a31cddd70

3342320131440 has 80 divisors (see below), whose sum is σ = 10503126605088. Its totient is φ = 879075975168.

The previous prime is 3342320131439. The next prime is 3342320131463. The reversal of 3342320131440 is 441310232433.

It is a happy number.

3342320131440 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 (80).

It is a super-2 number, since 2×33423201314402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3342320131398 and 3342320131407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95368329 + ... + 95403368.

Almost surely, 23342320131440 is an apocalyptic number.

3342320131440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342320131440 is an abundant number, since it is smaller than the sum of its proper divisors (7160806473648).

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

3342320131440 is a wasteful number, since it uses less digits than its factorization.

3342320131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190771786 (or 190771780 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3342320131440 its reverse (441310232433), we get a palindrome (3783630363873).

The spelling of 3342320131440 in words is "three trillion, three hundred forty-two billion, three hundred twenty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 17520 190771697 381543394 572315091 763086788 953858485 1144630182 1526173576 1907716970 2289260364 2861575455 3052347152 3815433940 4578520728 5723150910 7630867880 9157041456 11446301820 13926333881 15261735760 22892603640 27852667762 41779001643 45785207280 55705335524 69631669405 83558003286 111410671048 139263338810 167116006572 208895008215 222821342096 278526677620 334232013144 417790016430 557053355240 668464026288 835580032860 1114106710480 1671160065720 3342320131440