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330040144020 = 223561364113999
BaseRepresentation
bin1001100110101111110…
…11001111000010010100
31011112220001202110100210
410303113323033002110
520401410234102040
6411341321405420
732562462636216
oct4632773170224
91145801673323
10330040144020
11117a7306a104
1253b69939870
132517960ac62
1411d8ca3a5b6
1588b9ab7480
hex4cd7ecf094

330040144020 has 96 divisors (see below), whose sum is σ = 927130176000. Its totient is φ = 87723786240.

The previous prime is 330040144019. The next prime is 330040144061. The reversal of 330040144020 is 20441040033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23568981 + ... + 23582979.

It is an arithmetic number, because the mean of its divisors is an integer number (9657606000).

Almost surely, 2330040144020 is an apocalyptic number.

330040144020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330040144020 is an abundant number, since it is smaller than the sum of its proper divisors (597090031980).

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

330040144020 is a wasteful number, since it uses less digits than its factorization.

330040144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15265 (or 15263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 330040144020 its reverse (20441040033), we get a palindrome (350481184053).

The spelling of 330040144020 in words is "three hundred thirty billion, forty million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 613 641 1226 1282 1839 1923 2452 2564 3065 3205 3678 3846 6130 6410 7356 7692 9195 9615 12260 12820 13999 18390 19230 27998 36780 38460 41997 55996 69995 83994 139990 167988 209985 279980 392933 419970 785866 839940 1178799 1571732 1964665 2357598 3929330 4715196 5893995 7858660 8581387 8973359 11787990 17162774 17946718 23575980 25744161 26920077 34325548 35893436 42906935 44866795 51488322 53840154 85813870 89733590 102976644 107680308 128720805 134600385 171627740 179467180 257441610 269200770 514883220 538401540 5500669067 11001338134 16502007201 22002676268 27503345335 33004014402 55006690670 66008028804 82510036005 110013381340 165020072010 330040144020