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330242002233440 = 25511187637501269
BaseRepresentation
bin100101100010110100111010…
…1001110111010100001100000
31121022021211022221112120021012
41023011221311032322201200
5321241141110032432230
63130211025331120052
7126363124450210343
oct11305516516724140
91538254287476235
10330242002233440
11962529349623a0
1231057142443028
13112368c19925ab
145b79b2634c45a
15282a544248395
hex12c5a753ba860

330242002233440 has 48 divisors (see below), whose sum is σ = 851123705760720. Its totient is φ = 120088000811520.

The previous prime is 330242002233421. The next prime is 330242002233469. The reversal of 330242002233440 is 44332200242033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 330242002233397 and 330242002233406.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 93818748875 + ... + 93818752394.

It is an arithmetic number, because the mean of its divisors is an integer number (17731743870015).

Almost surely, 2330242002233440 is an apocalyptic number.

It is an amenable number.

330242002233440 is an abundant number, since it is smaller than the sum of its proper divisors (520881703527280).

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

330242002233440 is a wasteful number, since it uses less digits than its factorization.

330242002233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187637501295 (or 187637501287 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 330242002233440 its reverse (44332200242033), we get a palindrome (374574202475473).

The spelling of 330242002233440 in words is "three hundred thirty trillion, two hundred forty-two billion, two million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 187637501269 375275002538 750550005076 938187506345 1501100010152 1876375012690 2064012513959 3002200020304 3752750025380 4128025027918 6004400040608 7505500050760 8256050055836 10320062569795 15011000101520 16512100111672 20640125139590 30022000203040 33024200223344 41280250279180 66048400446688 82560500558360 165121001116720 330242002233440