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482268703140 = 223357319914153
BaseRepresentation
bin1110000010010010111…
…01000110100110100100
31201002211010122111122000
413001021131012212210
530400141242000030
61005315020005300
746562032224330
oct7011135064644
91632733574560
10482268703140
11176590123754
1279572990830
13366297aac43
14194b03807c0
15c829155860
hex70497469a4

482268703140 has 384 divisors, whose sum is σ = 1772259901440. Its totient is φ = 106543641600.

The previous prime is 482268703127. The next prime is 482268703141. The reversal of 482268703140 is 41307862284.

It is a happy number.

482268703140 is a `hidden beast` number, since 4 + 8 + 2 + 268 + 70 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (482268703141) 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 127 ways as a sum of consecutive naturals, for example, 116123304 + ... + 116127456.

It is an arithmetic number, because the mean of its divisors is an integer number (4615260160).

Almost surely, 2482268703140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482268703140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886129950720).

482268703140 is an abundant number, since it is smaller than the sum of its proper divisors (1289991198300).

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

482268703140 is a wasteful number, since it uses less digits than its factorization.

482268703140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 482268703140 in words is "four hundred eighty-two billion, two hundred sixty-eight million, seven hundred three thousand, one hundred forty".