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313240142242000 = 2453156620071121
BaseRepresentation
bin100011100111000111110011…
…1011010000110000011010000
31112002002110120002102222110201
41013032033213122012003100
5312024111302403221000
63030112311302304544
7122656565506565131
oct10716174732060320
91462073502388421
10313240142242000
1190898442161a26
122b170055a28154
13105a2559a755cc
14574cc91d75c88
15263316569c96a
hex11ce3e76860d0

313240142242000 has 40 divisors (see below), whose sum is σ = 757414663945992. Its totient is φ = 125296056896000.

The previous prime is 313240142241979. The next prime is 313240142242003. The reversal of 313240142242000 is 242241042313.

It can be written as a sum of positive squares in 4 ways, for example, as 1359173578896 + 311880968663104 = 1165836^2 + 17660152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 313240142242000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313240142242003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78310033561 + ... + 78310037560.

Almost surely, 2313240142242000 is an apocalyptic number.

It is an amenable number.

313240142242000 is an abundant number, since it is smaller than the sum of its proper divisors (444174521703992).

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

313240142242000 is a wasteful number, since it uses less digits than its factorization.

313240142242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156620071144 (or 156620071128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 313240142242000 its reverse (242241042313), we get a palindrome (313482383284313).

The spelling of 313240142242000 in words is "three hundred thirteen trillion, two hundred forty billion, one hundred forty-two million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 156620071121 313240142242 626480284484 783100355605 1252960568968 1566200711210 2505921137936 3132401422420 3915501778025 6264802844840 7831003556050 12529605689680 15662007112100 19577508890125 31324014224200 39155017780250 62648028448400 78310035560500 156620071121000 313240142242000