Search a number
-
+
334520542140 = 223573113675881
BaseRepresentation
bin1001101111000101111…
…10100110001110111100
31011222110022102021010220
410313202332212032330
520440044224322030
6413402052101340
733111505456341
oct4674276461674
91158408367126
10334520542140
11119962141574
12549ba304850
13257119105c5
1412295ac27c8
158a7d0d2a10
hex4de2fa63bc

334520542140 has 96 divisors (see below), whose sum is σ = 957892412736. Its totient is φ = 87204741120.

The previous prime is 334520542033. The next prime is 334520542157. The reversal of 334520542140 is 41245025433.

It is a super-3 number, since 3×3345205421403 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157000 + ... + 832880.

It is an arithmetic number, because the mean of its divisors is an integer number (9978045966).

Almost surely, 2334520542140 is an apocalyptic number.

334520542140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334520542140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478946206368).

334520542140 is an abundant number, since it is smaller than the sum of its proper divisors (623371870596).

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

334520542140 is a wasteful number, since it uses less digits than its factorization.

334520542140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676079 (or 676077 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 334520542140 its reverse (41245025433), we get a palindrome (375765567573).

The spelling of 334520542140 in words is "three hundred thirty-four billion, five hundred twenty million, five hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 113 146 219 226 292 339 365 438 452 565 678 730 876 1095 1130 1356 1460 1695 2190 2260 3390 4380 6780 8249 16498 24747 32996 41245 49494 82490 98988 123735 164980 247470 494940 675881 1351762 2027643 2703524 3379405 4055286 6758810 8110572 10138215 13517620 20276430 40552860 49339313 76374553 98678626 148017939 152749106 197357252 229123659 246696565 296035878 305498212 381872765 458247318 493393130 592071756 740089695 763745530 916494636 986786260 1145618295 1480179390 1527491060 2291236590 2960358780 4582473180 5575342369 11150684738 16726027107 22301369476 27876711845 33452054214 55753423690 66904108428 83630135535 111506847380 167260271070 334520542140