Search a number
-
+
34402106422000 = 245354373163703
BaseRepresentation
bin1111101001001110111010…
…10101010011001011110000
311111210210211221120011011201
413310213131111103023300
514002121003221001000
6201100035353220544
710150320160525342
oct764473525231360
9144723757504151
1034402106422000
11aa6394023a049
123a37437a01754
1316271490a1c65
1486d0dc52b292
153e9d2756296a
hex1f49dd5532f0

34402106422000 has 80 divisors (see below), whose sum is σ = 83199619294272. Its totient is φ = 13758307257600.

The previous prime is 34402106421983. The next prime is 34402106422009. The reversal of 34402106422000 is 22460120443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×344021064220002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34402106422000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34402106422009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9292149 + ... + 12455851.

Almost surely, 234402106422000 is an apocalyptic number.

It is an amenable number.

34402106422000 is an abundant number, since it is smaller than the sum of its proper divisors (48797512872272).

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

34402106422000 is a wasteful number, since it uses less digits than its factorization.

34402106422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169163 (or 3169147 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34402106422000 its reverse (22460120443), we get a palindrome (34424566542443).

The spelling of 34402106422000 in words is "thirty-four trillion, four hundred two billion, one hundred six million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5437 10874 21748 27185 43496 54370 86992 108740 135925 217480 271850 434960 543700 679625 1087400 1359250 2174800 2718500 3163703 5437000 6327406 10874000 12654812 15818515 25309624 31637030 50619248 63274060 79092575 126548120 158185150 253096240 316370300 395462875 632740600 790925750 1265481200 1581851500 3163703000 6327406000 17201053211 34402106422 68804212844 86005266055 137608425688 172010532110 275216851376 344021064220 430026330275 688042128440 860052660550 1376084256880 1720105321100 2150131651375 3440210642200 4300263302750 6880421284400 8600526605500 17201053211000 34402106422000