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2330313214240 = 255111324041599
BaseRepresentation
bin100001111010010001011…
…111011100100100100000
322020202221112102201020201
4201322101133130210200
5301134440140323430
64542310415314544
7330234222333334
oct41722137344440
98222845381221
102330313214240
1181930a070660
1231776921ba54
1313b99460172b
1480b0588d7c4
154093ba348ca
hex21e917dc920

2330313214240 has 48 divisors (see below), whose sum is σ = 6005852697600. Its totient is φ = 847386622720.

The previous prime is 2330313214189. The next prime is 2330313214301. The reversal of 2330313214240 is 424123130332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2330313214199 and 2330313214208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662019040 + ... + 662022559.

It is an arithmetic number, because the mean of its divisors is an integer number (125121931200).

Almost surely, 22330313214240 is an apocalyptic number.

2330313214240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2330313214240 is an abundant number, since it is smaller than the sum of its proper divisors (3675539483360).

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

2330313214240 is a wasteful number, since it uses less digits than its factorization.

2330313214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324041625 (or 1324041617 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2330313214240 its reverse (424123130332), we get a palindrome (2754436344572).

The spelling of 2330313214240 in words is "two trillion, three hundred thirty billion, three hundred thirteen million, two hundred fourteen thousand, two 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 1324041599 2648083198 5296166396 6620207995 10592332792 13240415990 14564457589 21184665584 26480831980 29128915178 42369331168 52961663960 58257830356 72822287945 105923327920 116515660712 145644575890 211846655840 233031321424 291289151780 466062642848 582578303560 1165156607120 2330313214240