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1000324266240 = 283513103257757
BaseRepresentation
bin11101000111001111111…
…10001111100100000000
310112122000022120212010210
432203213332033210000
5112342131003004430
62043313112354120
7132161652653445
oct16434776174400
93478008525123
101000324266240
11356264a73a22
12141a526a5940
137343a511860
14365b75359cc
151b049e6a2b0
hexe8e7f8f900

1000324266240 has 576 divisors, whose sum is σ = 3492065880576. Its totient is φ = 242573377536.

The previous prime is 1000324266239. The next prime is 1000324266287. The reversal of 1000324266240 is 426624230001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1000324266198 and 1000324266207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1321431942 + ... + 1321432698.

It is an arithmetic number, because the mean of its divisors is an integer number (6062614376).

Almost surely, 21000324266240 is an apocalyptic number.

1000324266240 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 1000324266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746032940288).

1000324266240 is an abundant number, since it is smaller than the sum of its proper divisors (2491741614336).

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

1000324266240 is a wasteful number, since it uses less digits than its factorization.

1000324266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1000324266240 its reverse (426624230001), we get a palindrome (1426948496241).

The spelling of 1000324266240 in words is "one trillion, three hundred twenty-four million, two hundred sixty-six thousand, two hundred forty".