Search a number
-
+
255104130112000 = 295313306615541
BaseRepresentation
bin111010000000010000001111…
…000011100101101000000000
31020110020201100110002012221021
4322000100033003211220000
5231414111224302041000
62302321115225035224
7104506444105121341
oct7200201703455000
91213221313065837
10255104130112000
11743140659962a4
1224740a81025b14
13ac462a71319b0
1446dd16a3780c8
151e75c9d03211a
hexe8040f0e5a00

255104130112000 has 160 divisors (see below), whose sum is σ = 685050255633744. Its totient is φ = 94192293888000.

The previous prime is 255104130111967. The next prime is 255104130112021. The reversal of 255104130112000 is 211031401552.

It can be written as a sum of positive squares in 8 ways, for example, as 2685245923584 + 252418884188416 = 1638672^2 + 15887696^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152475771 + ... + 154139770.

Almost surely, 2255104130112000 is an apocalyptic number.

255104130112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255104130112000 is an abundant number, since it is smaller than the sum of its proper divisors (429946125521744).

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

255104130112000 is an equidigital number, since it uses as much as digits as its factorization.

255104130112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306615587 (or 306615561 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 255104130112000 its reverse (211031401552), we get a palindrome (255315161513552).

The spelling of 255104130112000 in words is "two hundred fifty-five trillion, one hundred four billion, one hundred thirty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 500 512 520 640 650 800 832 1000 1040 1280 1300 1600 1625 1664 2000 2080 2560 2600 3200 3250 3328 4000 4160 5200 6400 6500 6656 8000 8320 10400 12800 13000 16000 16640 20800 26000 32000 33280 41600 52000 64000 83200 104000 166400 208000 416000 832000 306615541 613231082 1226462164 1533077705 2452924328 3066155410 3986002033 4905848656 6132310820 7665388525 7972004066 9811697312 12264621640 15330777050 15944008132 19623394624 19930010165 24529243280 30661554100 31888016264 38326942625 39246789248 39860020330 49058486560 61323108200 63776032528 76653885250 78493578496 79720040660 98116973120 99650050825 122646216400 127552065056 153307770500 156987156992 159440081320 196233946240 199300101650 245292432800 255104130112 306615541000 318880162640 392467892480 398600203300 490584865600 498250254125 510208260224 613231082000 637760325280 784935784960 797200406600 981169731200 996500508250 1020416520448 1226462164000 1275520650560 1594400813200 1962339462400 1993001016500 2040833040896 2452924328000 2551041301120 3188801626400 3924678924800 3986002033000 4905848656000 5102082602240 6377603252800 7972004066000 9811697312000 10204165204480 12755206505600 15944008132000 19623394624000 25510413011200 31888016264000 51020826022400 63776032528000 127552065056000 255104130112000