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3330204440040 = 2332515161262039
BaseRepresentation
bin110000011101011111101…
…001110001010111101000
3102210100211200011211120200
4300131133221301113220
5414030224314040130
611025512542352200
7462412366454412
oct60353751612750
912710750154520
103330204440040
111074371651915
124594ba88b660
131b20631a3b2a
14b727b69d9b2
155b95d961760
hex3075fa715e8

3330204440040 has 96 divisors (see below), whose sum is σ = 10894841193600. Its totient is φ = 882173347200.

The previous prime is 3330204440029. The next prime is 3330204440047. The reversal of 3330204440040 is 400444020333.

It is a super-2 number, since 2×33302044400402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3330204439986 and 3330204440013.

It is not an unprimeable number, because it can be changed into a prime (3330204440047) 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 23 ways as a sum of consecutive naturals, for example, 30576660 + ... + 30685379.

It is an arithmetic number, because the mean of its divisors is an integer number (113487929100).

Almost surely, 23330204440040 is an apocalyptic number.

3330204440040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3330204440040 is an abundant number, since it is smaller than the sum of its proper divisors (7564636753560).

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

3330204440040 is a wasteful number, since it uses less digits than its factorization.

3330204440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61262207 (or 61262200 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3330204440040 its reverse (400444020333), we get a palindrome (3730648460373).

The spelling of 3330204440040 in words is "three trillion, three hundred thirty billion, two hundred four million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 453 604 755 906 1208 1359 1510 1812 2265 2718 3020 3624 4530 5436 6040 6795 9060 10872 13590 18120 27180 54360 61262039 122524078 183786117 245048156 306310195 367572234 490096312 551358351 612620390 735144468 918930585 1102716702 1225240780 1470288936 1837861170 2205433404 2450481560 2756791755 3675722340 4410866808 5513583510 7351444680 9250567889 11027167020 18501135778 22054334040 27751703667 37002271556 46252839445 55503407334 74004543112 83255111001 92505678890 111006814668 138758518335 166510222002 185011357780 222013629336 277517036670 333020444004 370022715560 416275555005 555034073340 666040888008 832551110010 1110068146680 1665102220020 3330204440040