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300143252000052 = 223257089146040613
BaseRepresentation
bin100010000111110101000101…
…1111010101100110100110100
31110100201102012021212012000200
41010033222023322230310310
5303320021340003000202
62542203523443440500
7120135430404414066
oct10417521372546464
91410642167765020
10300143252000052
11876a904704340a
12297b5933986130
13cb625059411a6
145419021d07736
1524a7634d00e1c
hex110fa8beacd34

300143252000052 has 36 divisors (see below), whose sum is σ = 758708737446660. Its totient is φ = 100045997494272.

The previous prime is 300143252000051. The next prime is 300143252000113. The reversal of 300143252000052 is 250000252341003.

It is a happy number.

300143252000052 is a `hidden beast` number, since 300 + 14 + 325 + 20 + 0 + 0 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58448532586896 + 241694719413156 = 7645164^2 + 15546534^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300143252000051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70965103 + ... + 75075510.

Almost surely, 2300143252000052 is an apocalyptic number.

It is an amenable number.

300143252000052 is an abundant number, since it is smaller than the sum of its proper divisors (458565485446608).

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

300143252000052 is a wasteful number, since it uses less digits than its factorization.

300143252000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146097712 (or 146097707 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 300143252000052 in words is "three hundred trillion, one hundred forty-three billion, two hundred fifty-two million, fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 57089 114178 171267 228356 342534 513801 685068 1027602 2055204 146040613 292081226 438121839 584162452 876243678 1314365517 1752487356 2628731034 5257462068 8337312555557 16674625111114 25011937666671 33349250222228 50023875333342 75035813000013 100047750666684 150071626000026 300143252000052