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313141443044040 = 2332513283236433091
BaseRepresentation
bin100011100110011001110110…
…0011110100010001011001000
31112001202000210120111020011100
41013030303230132202023020
5312021002133404402130
63025555105404101400
7122646502606340322
oct10714635436421310
91461660716436140
10313141443044040
119085a5a4021736
122b154aab834860
131059615a8c1c20
1457481ab9a4612
1526307da760c60
hex11cccec7a22c8

313141443044040 has 192 divisors, whose sum is σ = 1099867829336640. Its totient is φ = 76808599349760.

The previous prime is 313141443044039. The next prime is 313141443044041. The reversal of 313141443044040 is 40440344141313.

313141443044040 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 4 + 144 + 30 + 440 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (313141443044039) and next prime (313141443044041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313141443043986 and 313141443044004.

It is not an unprimeable number, because it can be changed into a prime (313141443044041) 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 47 ways as a sum of consecutive naturals, for example, 116892106 + ... + 119540985.

It is an arithmetic number, because the mean of its divisors is an integer number (5728478277795).

Almost surely, 2313141443044040 is an apocalyptic number.

313141443044040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313141443044040 is an abundant number, since it is smaller than the sum of its proper divisors (786726386292600).

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

313141443044040 is a wasteful number, since it uses less digits than its factorization.

313141443044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236433404 (or 236433397 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 313141443044040 its reverse (40440344141313), we get a palindrome (353581787185353).

The spelling of 313141443044040 in words is "three hundred thirteen trillion, one hundred forty-one billion, four hundred forty-three million, forty-four thousand, forty".