Search a number
-
+
305250025440 = 25351036174151
BaseRepresentation
bin1000111000100100101…
…00011011111111100000
31002011220101202221201210
410130102110123333200
520000123001303230
6352121355230120
731024244256063
oct4342224337740
91064811687653
10305250025440
111085017550a8
124b1ab748340
1322a2870b639
1410aba4c88da
157e18551eb0
hex471251bfe0

305250025440 has 96 divisors (see below), whose sum is σ = 970873053696. Its totient is φ = 80609702400.

The previous prime is 305250025439. The next prime is 305250025453. The reversal of 305250025440 is 44520052503.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3052500254402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 305250025398 and 305250025407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3037636 + ... + 3136515.

It is an arithmetic number, because the mean of its divisors is an integer number (10113260976).

Almost surely, 2305250025440 is an apocalyptic number.

305250025440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305250025440 is an abundant number, since it is smaller than the sum of its proper divisors (665623028256).

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

305250025440 is a wasteful number, since it uses less digits than its factorization.

305250025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174272 (or 6174264 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 305250025440 its reverse (44520052503), we get a palindrome (349770077943).

The spelling of 305250025440 in words is "three hundred five billion, two hundred fifty million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 8240 9888 12360 16480 24720 49440 6174151 12348302 18522453 24696604 30870755 37044906 49393208 61741510 74089812 92612265 98786416 123483020 148179624 185224530 197572832 246966040 296359248 370449060 493932080 592718496 635937553 740898120 987864160 1271875106 1481796240 1907812659 2543750212 2963592480 3179687765 3815625318 5087500424 6359375530 7631250636 9539063295 10175000848 12718751060 15262501272 19078126590 20350001696 25437502120 30525002544 38156253180 50875004240 61050005088 76312506360 101750008480 152625012720 305250025440