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3314441420000 = 25541131466567
BaseRepresentation
bin110000001110110100000…
…110100111110011100000
3102201212011010021110011122
4300032310012213303200
5413300434000420000
611014344450231412
7461313643140644
oct60166406476340
912655133243148
103314441420000
111068712857627
1245643b885568
131b0720551c39
14b65c3db8c24
155b339b7c085
hex303b41a7ce0

3314441420000 has 120 divisors (see below), whose sum is σ = 8226188164656. Its totient is φ = 1314043136000.

The previous prime is 3314441419987. The next prime is 3314441420009. The reversal of 3314441420000 is 241444133.

It is a super-2 number, since 2×33144414200002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314441420009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1526717 + ... + 2993283.

Almost surely, 23314441420000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314441420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113094082328).

3314441420000 is an abundant number, since it is smaller than the sum of its proper divisors (4911746744656).

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

3314441420000 is a wasteful number, since it uses less digits than its factorization.

3314441420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466710 (or 1466687 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3314441420000 its reverse (241444133), we get a palindrome (3314682864133).

The spelling of 3314441420000 in words is "three trillion, three hundred fourteen billion, four hundred forty-one million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 625 800 904 1000 1130 1250 1808 2000 2260 2500 2825 3616 4000 4520 5000 5650 9040 10000 11300 14125 18080 20000 22600 28250 45200 56500 70625 90400 113000 141250 226000 282500 452000 565000 1130000 1466567 2260000 2933134 5866268 7332835 11732536 14665670 23465072 29331340 36664175 46930144 58662680 73328350 117325360 146656700 165722071 183320875 234650720 293313400 331444142 366641750 586626800 662888284 733283500 828610355 916604375 1173253600 1325776568 1466567000 1657220710 1833208750 2651553136 2933134000 3314441420 3666417500 4143051775 5303106272 5866268000 6628882840 7332835000 8286103550 13257765680 14665670000 16572207100 20715258875 26515531360 29331340000 33144414200 41430517750 66288828400 82861035500 103576294375 132577656800 165722071000 207152588750 331444142000 414305177500 662888284000 828610355000 1657220710000 3314441420000