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1324289006040 = 23357112131002247
BaseRepresentation
bin10011010001010101110…
…001101001100111011000
311200121012222101210200110
4103101111301221213120
5133144120441143130
62452211525204320
7164451054552150
oct23212561514730
94617188353613
101324289006040
1147069a68aa00
121947a58606a0
1397b59242470
144814b335760
15246ab4a2ab0
hex13455c699d8

1324289006040 has 384 divisors, whose sum is σ = 5374615034880. Its totient is φ = 254009226240.

The previous prime is 1324289005999. The next prime is 1324289006041. The reversal of 1324289006040 is 406009824231.

It is a super-2 number, since 2×13242890060402 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1324289006040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324289006041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820197 + ... + 1822443.

It is an arithmetic number, because the mean of its divisors is an integer number (13996393320).

Almost surely, 21324289006040 is an apocalyptic number.

1324289006040 is a gapful number since it is divisible by the number (10) 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 1324289006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687307517440).

1324289006040 is an abundant number, since it is smaller than the sum of its proper divisors (4050326028840).

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

1324289006040 is a wasteful number, since it uses less digits than its factorization.

1324289006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002303 (or 1002288 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1324289006040 in words is "one trillion, three hundred twenty-four billion, two hundred eighty-nine million, six thousand, forty".