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1001114688 = 26372106411
BaseRepresentation
bin111011101010111…
…100110001000000
32120202202220011210
4323222330301000
54022241132223
6243201210120
733544222500
oct7352746100
92522686153
101001114688
11474115312
1223b330940
1312c53a672
1496d5ba00
155cd51893
hex3babcc40

1001114688 has 84 divisors (see below), whose sum is σ = 3081265872. Its totient is φ = 286030080.

The previous prime is 1001114677. The next prime is 1001114689. The reversal of 1001114688 is 8864111001.

1001114688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (1001114689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43798 + ... + 62613.

Almost surely, 21001114688 is an apocalyptic number.

It is an amenable number.

1001114688 is an abundant number, since it is smaller than the sum of its proper divisors (2080151184).

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

1001114688 is a wasteful number, since it uses less digits than its factorization.

1001114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106440 (or 106423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1001114688 is about 31640.3964576931. The cubic root of 1001114688 is about 1000.3714246933.

Adding to 1001114688 its reverse (8864111001), we get a palindrome (9865225689).

The spelling of 1001114688 in words is "one billion, one million, one hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 106411 212822 319233 425644 638466 744877 851288 1276932 1489754 1702576 2234631 2553864 2979508 3405152 4469262 5107728 5214139 5959016 6810304 8938524 10215456 10428278 11918032 15642417 17877048 20430912 20856556 23836064 31284834 35754096 41713112 47672128 62569668 71508192 83426224 125139336 143016384 166852448 250278672 333704896 500557344 1001114688