Search a number
-
+
315302030550 = 2325213257209719
BaseRepresentation
bin1001001011010010111…
…01110010110011010110
31010010211221101201110100
410211221131302303112
520131214304434200
6400503040434530
731531323016323
oct4455135626326
91103757351410
10315302030550
1111179a85a341
1251136018a46
132396b106a60
1411391507b4a
158305c83d00
hex4969772cd6

315302030550 has 144 divisors (see below), whose sum is σ = 915827945760. Its totient is φ = 77310443520.

The previous prime is 315302030521. The next prime is 315302030569. The reversal of 315302030550 is 55030203513.

315302030550 is a `hidden beast` number, since 3 + 1 + 5 + 302 + 0 + 305 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1398591 + ... + 1608309.

It is an arithmetic number, because the mean of its divisors is an integer number (6359916290).

Almost surely, 2315302030550 is an apocalyptic number.

315302030550 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315302030550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457913972880).

315302030550 is an abundant number, since it is smaller than the sum of its proper divisors (600525915210).

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

315302030550 is a wasteful number, since it uses less digits than its factorization.

315302030550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210007 (or 209999 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The spelling of 315302030550 in words is "three hundred fifteen billion, three hundred two million, thirty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 257 325 390 450 514 585 650 771 975 1170 1285 1542 1950 2313 2570 2925 3341 3855 4626 5850 6425 6682 7710 10023 11565 12850 16705 19275 20046 23130 30069 33410 38550 50115 57825 60138 83525 100230 115650 150345 167050 209719 250575 300690 419438 501150 629157 751725 1048595 1258314 1503450 1887471 2097190 2726347 3145785 3774942 5242975 5452694 6291570 8179041 9437355 10485950 13631735 15728925 16358082 18874710 24537123 27263470 31457850 40895205 47186775 49074246 53897783 68158675 81790410 94373550 107795566 122685615 136317350 161693349 204476025 245371230 269488915 323386698 408952050 485080047 538977830 613428075 700671179 808466745 970160094 1226856150 1347444575 1401342358 1616933490 2102013537 2425400235 2694889150 3503355895 4042333725 4204027074 4850800470 6306040611 7006711790 8084667450 10510067685 12127001175 12612081222 17516779475 21020135370 24254002350 31530203055 35033558950 52550338425 63060406110 105100676850 157651015275 315302030550