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4404444444032 = 2717101103194569
BaseRepresentation
bin100000000010111110101…
…0110001011010110000000
3120121001122022021012222012
41000011331112023112000
51034130300234202112
613211212430032052
7633132145026653
oct100057526132600
916531568235865
104404444444032
111448a07079606
125b173b648628
1325c45015b2c9
141132678a989a
1579882b6b022
hex4017d58b580

4404444444032 has 128 divisors (see below), whose sum is σ = 9473753390400. Its totient is φ = 2032223846400.

The previous prime is 4404444444031. The next prime is 4404444444107. The reversal of 4404444444032 is 2304444444044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404444444031) 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 15 ways as a sum of consecutive naturals, for example, 22539644 + ... + 22734212.

Almost surely, 24404444444032 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 4404444444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736876695200).

4404444444032 is an abundant number, since it is smaller than the sum of its proper divisors (5069308946368).

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

4404444444032 is a wasteful number, since it uses less digits than its factorization.

4404444444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194804 (or 194792 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 41.

Adding to 4404444444032 its reverse (2304444444044), we get a palindrome (6708888888076).

The spelling of 4404444444032 in words is "four trillion, four hundred four billion, four hundred forty-four million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 103 128 136 202 206 272 404 412 544 808 824 1088 1616 1648 1717 1751 2176 3232 3296 3434 3502 6464 6592 6868 7004 10403 12928 13184 13736 14008 20806 27472 28016 41612 54944 56032 83224 109888 112064 166448 176851 194569 219776 224128 332896 353702 389138 665792 707404 778276 1331584 1414808 1556552 2829616 3113104 3307673 5659232 6226208 6615346 11318464 12452416 13230692 19651469 20040607 22636928 24904832 26461384 39302938 40081214 52922768 78605876 80162428 105845536 157211752 160324856 211691072 314423504 320649712 334074973 340690319 423382144 628847008 641299424 668149946 681380638 1257694016 1282598848 1336299892 1362761276 2024101307 2515388032 2565197696 2672599784 2725522552 4048202614 5345199568 5451045104 8096405228 10690399136 10902090208 16192810456 21380798272 21804180416 32385620912 34409722219 42761596544 43608360832 64771241824 68819444438 129542483648 137638888876 259084967296 275277777752 550555555504 1101111111008 2202222222016 4404444444032