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3330130000344 = 233723633838751
BaseRepresentation
bin110000011101011011001…
…101110011100111011000
3102210100122111002220111220
4300131123031303213120
5414030101240002334
611025501323052040
7462410503650150
oct60353315634730
912710574086456
103330130000344
111074333629204
12459499971020
131b205093c584
14b7271843760
155b95715a449
hex3075b3739d8

3330130000344 has 64 divisors (see below), whose sum is σ = 9515071088640. Its totient is φ = 951424320000.

The previous prime is 3330130000343. The next prime is 3330130000367. The reversal of 3330130000344 is 4430000310333.

It is a super-2 number, since 2×33301300003442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330130000343) by changing a digit.

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, 3550969 + ... + 4389719.

It is an arithmetic number, because the mean of its divisors is an integer number (148672985760).

Almost surely, 23330130000344 is an apocalyptic number.

It is an amenable number.

3330130000344 is an abundant number, since it is smaller than the sum of its proper divisors (6184941088296).

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

3330130000344 is a wasteful number, since it uses less digits than its factorization.

3330130000344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862400 (or 862396 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3330130000344 its reverse (4430000310333), we get a palindrome (7760130310677).

The spelling of 3330130000344 in words is "three trillion, three hundred thirty billion, one hundred thirty million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 23633 47266 70899 94532 141798 165431 189064 283596 330862 496293 567192 661724 838751 992586 1323448 1677502 1985172 2516253 3355004 3970344 5032506 5871257 6710008 10065012 11742514 17613771 20130024 23485028 35227542 46970056 70455084 140910168 19822202383 39644404766 59466607149 79288809532 118933214298 138755416681 158577619064 237866428596 277510833362 416266250043 475732857192 555021666724 832532500086 1110043333448 1665065000172 3330130000344