Search a number
-
+
334414231021000 = 235313103249749239
BaseRepresentation
bin100110000001001011110000…
…1011100101010010111001000
31121212001200120202002012002001
41030002113201130222113020
5322313020321120133000
63143123435445520344
7130303426251566524
oct11402274134522710
91555050522065061
10334414231021000
1197611308283219
123160b8754130b4
131147a1853b58c0
145c81a41336d84
15289dd3555546a
hex13025e172a5c8

334414231021000 has 128 divisors (see below), whose sum is σ = 850905650649600. Its totient is φ = 122277226924800.

The previous prime is 334414231020983. The next prime is 334414231021019. The reversal of 334414231021000 is 120132414433.

It is a happy number.

It is a super-2 number, since 2×3344142310210002 (a number of 30 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 334414231021000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123535620 + ... + 126213619.

It is an arithmetic number, because the mean of its divisors is an integer number (6647700395700).

Almost surely, 2334414231021000 is an apocalyptic number.

It is an amenable number.

334414231021000 is an abundant number, since it is smaller than the sum of its proper divisors (516491419628600).

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

334414231021000 is a wasteful number, since it uses less digits than its factorization.

334414231021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249749376 (or 249749362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 334414231021000 its reverse (120132414433), we get a palindrome (334534363435433).

The spelling of 334414231021000 in words is "three hundred thirty-four trillion, four hundred fourteen billion, two hundred thirty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 103 104 125 130 200 206 250 260 325 412 500 515 520 650 824 1000 1030 1300 1339 1625 2060 2575 2600 2678 3250 4120 5150 5356 6500 6695 10300 10712 12875 13000 13390 20600 25750 26780 33475 51500 53560 66950 103000 133900 167375 267800 334750 669500 1339000 249749239 499498478 998996956 1248746195 1997993912 2497492390 3246740107 4994984780 6243730975 6493480214 9989969560 12487461950 12986960428 16233700535 24974923900 25724171617 25973920856 31218654875 32467401070 49949847800 51448343234 62437309750 64934802140 81168502675 102896686468 124874619500 128620858085 129869604280 162337005350 205793372936 249749239000 257241716170 324674010700 334414231021 405842513375 514483432340 643104290425 649348021400 668828462042 811685026750 1028966864680 1286208580850 1337656924084 1623370053500 1672071155105 2572417161700 2675313848168 3215521452125 3246740107000 3344142310210 5144834323400 6431042904250 6688284620420 8360355775525 12862085808500 13376569240840 16720711551050 25724171617000 33441423102100 41801778877625 66882846204200 83603557755250 167207115510500 334414231021000