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1106409444 = 2237191634253
BaseRepresentation
bin100000111110010…
…0111011111100100
32212002220102102120
41001330213133210
54231220100234
6301442105540
736263216340
oct10174473744
92762812376
101106409444
115185a2878
1226a64b2b0
131482b615a
14a6d2a620
1567200049
hex41f277e4

1106409444 has 96 divisors (see below), whose sum is σ = 3125498880. Its totient is φ = 297571968.

The previous prime is 1106409431. The next prime is 1106409509. The reversal of 1106409444 is 4449046011.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 258022 + ... + 262274.

It is an arithmetic number, because the mean of its divisors is an integer number (32557280).

Almost surely, 21106409444 is an apocalyptic number.

1106409444 is a gapful number since it is divisible by the number (14) 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 1106409444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562749440).

1106409444 is an abundant number, since it is smaller than the sum of its proper divisors (2019089436).

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

1106409444 is a wasteful number, since it uses less digits than its factorization.

1106409444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1106409444 is about 33262.7335617505. The cubic root of 1106409444 is about 1034.2811858814.

The spelling of 1106409444 in words is "one billion, one hundred six million, four hundred nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 163 228 266 326 399 489 532 652 798 978 1141 1596 1956 2282 3097 3423 4253 4564 6194 6846 8506 9291 12388 12759 13692 17012 18582 21679 25518 29771 37164 43358 51036 59542 65037 80807 86716 89313 119084 130074 161614 178626 242421 260148 323228 357252 484842 565649 693239 969684 1131298 1386478 1696947 2079717 2262596 2772956 3393894 4159434 4852673 6787788 8318868 9705346 13171541 14558019 19410692 26343082 29116038 39514623 52686164 58232076 79029246 92200787 158058492 184401574 276602361 368803148 553204722 1106409444