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3213213342840 = 2332515535747323
BaseRepresentation
bin101110110000100010011…
…100001001110001111000
3102101011212100210022202200
4232300202130021301320
5410121130103432330
610500044013230200
7451101264524364
oct56604234116170
912334770708680
103213213342840
111029797188a26
1243a8aa792360
131a400a49a327
14b173dbda2a4
15588b2c0ca60
hex2ec22709c78

3213213342840 has 96 divisors (see below), whose sum is σ = 10449669550320. Its totient is φ = 856304999424.

The previous prime is 3213213342803. The next prime is 3213213342881. The reversal of 3213213342840 is 482433123123.

3213213342840 is a `hidden beast` number, since 3 + 2 + 13 + 213 + 3 + 428 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3213213342795 and 3213213342804.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2314582 + ... + 3432741.

Almost surely, 23213213342840 is an apocalyptic number.

3213213342840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213213342840 is an abundant number, since it is smaller than the sum of its proper divisors (7236456207480).

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

3213213342840 is a wasteful number, since it uses less digits than its factorization.

3213213342840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748893 (or 5748886 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 3213213342840 its reverse (482433123123), we get a palindrome (3695646465963).

The spelling of 3213213342840 in words is "three trillion, two hundred thirteen billion, two hundred thirteen million, three hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1553 3106 4659 6212 7765 9318 12424 13977 15530 18636 23295 27954 31060 37272 46590 55908 62120 69885 93180 111816 139770 186360 279540 559080 5747323 11494646 17241969 22989292 28736615 34483938 45978584 51725907 57473230 68967876 86209845 103451814 114946460 137935752 172419690 206903628 229892920 258629535 344839380 413807256 517259070 689678760 1034518140 2069036280 8925592619 17851185238 26776777857 35702370476 44627963095 53553555714 71404740952 80330333571 89255926190 107107111428 133883889285 160660667142 178511852380 214214222856 267767778570 321321334284 357023704760 401651667855 535535557140 642642668568 803303335710 1071071114280 1606606671420 3213213342840