Search a number
-
+
315310400240 = 24511477623559
BaseRepresentation
bin1001001011010011111…
…01101110001011110000
31010010212112010221111212
410211221331232023300
520131223430301430
6400503540055252
731531454115623
oct4455175561360
91103775127455
10315310400240
111117a4556640
1251138994528
132396ca77534
1411392685dba
158306888b95
hex4969f6e2f0

315310400240 has 80 divisors (see below), whose sum is σ = 816757724160. Its totient is φ = 112218773760.

The previous prime is 315310400221. The next prime is 315310400299. The reversal of 315310400240 is 42004013513.

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

It is a congruent number.

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, 3770420 + ... + 3853139.

It is an arithmetic number, because the mean of its divisors is an integer number (10209471552).

Almost surely, 2315310400240 is an apocalyptic number.

It is an amenable number.

315310400240 is an abundant number, since it is smaller than the sum of its proper divisors (501447323920).

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

315310400240 is a wasteful number, since it uses less digits than its factorization.

315310400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623630 (or 7623624 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 315310400240 its reverse (42004013513), we get a palindrome (357314413753).

The spelling of 315310400240 in words is "three hundred fifteen billion, three hundred ten million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360 7623559 15247118 30494236 38117795 60988472 76235590 83859149 121976944 152471180 167718298 304942360 335436596 358307273 419295745 609884720 670873192 716614546 838591490 1341746384 1433229092 1677182980 1791536365 2866458184 3354365960 3583072730 3941380003 5732916368 6708731920 7166145460 7882760006 14332290920 15765520012 19706900015 28664581840 31531040024 39413800030 63062080048 78827600060 157655200120 315310400240