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2000301424440 = 2335111639296809
BaseRepresentation
bin11101000110111011010…
…000010111111100111000
321002020010110000210120020
4131012323100113330320
5230233104131040230
64130531545330440
7264342222366354
oct35067320277470
97066113023506
102000301424440
117013610084a0
12283808a96a20
13116820b40627
146cb5a914464
15370746bd810
hex1d1bb417f38

2000301424440 has 128 divisors (see below), whose sum is σ = 6586603948800. Its totient is φ = 481946526720.

The previous prime is 2000301424439. The next prime is 2000301424469. The reversal of 2000301424440 is 444241030002.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2000301424440.

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 31 ways as a sum of consecutive naturals, for example, 4433245 + ... + 4863564.

It is an arithmetic number, because the mean of its divisors is an integer number (51457843350).

Almost surely, 22000301424440 is an apocalyptic number.

2000301424440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000301424440 is an abundant number, since it is smaller than the sum of its proper divisors (4586302524360).

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

2000301424440 is a wasteful number, since it uses less digits than its factorization.

2000301424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296997 (or 9296993 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2000301424440 its reverse (444241030002), we get a palindrome (2444542454442).

The spelling of 2000301424440 in words is "two trillion, three hundred one million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 163 165 220 264 326 330 440 489 652 660 815 978 1304 1320 1630 1793 1956 2445 3260 3586 3912 4890 5379 6520 7172 8965 9780 10758 14344 17930 19560 21516 26895 35860 43032 53790 71720 107580 215160 9296809 18593618 27890427 37187236 46484045 55780854 74374472 92968090 102264899 111561708 139452135 185936180 204529798 223123416 278904270 306794697 371872360 409059596 511324495 557808540 613589394 818119192 1022648990 1115617080 1227178788 1515379867 1533973485 2045297980 2454357576 3030759734 3067946970 4090595960 4546139601 6061519468 6135893940 7576899335 9092279202 12123038936 12271787880 15153798670 16669178537 18184558404 22730698005 30307597340 33338357074 36369116808 45461396010 50007535611 60615194680 66676714148 83345892685 90922792020 100015071222 133353428296 166691785370 181845584040 200030142444 250037678055 333383570740 400060284888 500075356110 666767141480 1000150712220 2000301424440