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316631341440 = 27335311493967
BaseRepresentation
bin1001001101110001011…
…00101101100110000000
31010021021120201201012000
410212320230231212000
520141430110411230
6401243004304000
731606263665301
oct4467054554600
91107246651160
10316631341440
11112312157287
1251447242000
1323b2063514b
1411479c987a8
158382813b60
hex49b8b2d980

316631341440 has 512 divisors, whose sum is σ = 1165639680000. Its totient is φ = 81142456320.

The previous prime is 316631341423. The next prime is 316631341441. The reversal of 316631341440 is 44143136613.

316631341440 is a `hidden beast` number, since 3 + 1 + 6 + 631 + 3 + 4 + 14 + 4 + 0 = 666.

It is a super-2 number, since 2×3166313414402 (a number of 24 digits) contains 22 as substring.

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 = 316631341395 and 316631341404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316631341441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79814337 + ... + 79818303.

It is an arithmetic number, because the mean of its divisors is an integer number (2276640000).

Almost surely, 2316631341440 is an apocalyptic number.

316631341440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316631341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819840000).

316631341440 is an abundant number, since it is smaller than the sum of its proper divisors (849008338560).

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

316631341440 is a wasteful number, since it uses less digits than its factorization.

316631341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 316631341440 in words is "three hundred sixteen billion, six hundred thirty-one million, three hundred forty-one thousand, four hundred forty".