Search a number
-
+
444390018816 = 2836728330517
BaseRepresentation
bin1100111011101111011…
…01011000111100000000
31120111001022012222011210
412131313231120330000
524240102321100231
6540052220210120
744051253556332
oct6356755307400
91514038188153
10444390018816
11161512642567
1272161399940
1332ba106a773
141771980b452
15b85d9e6a46
hex6777b58f00

444390018816 has 144 divisors (see below), whose sum is σ = 1204659231104. Its totient is φ = 145398730752.

The previous prime is 444390018791. The next prime is 444390018833. The reversal of 444390018816 is 618810093444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14546790 + ... + 14577306.

Almost surely, 2444390018816 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 444390018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602329615552).

444390018816 is an abundant number, since it is smaller than the sum of its proper divisors (760269212288).

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

444390018816 is a wasteful number, since it uses less digits than its factorization.

444390018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30886 (or 30872 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 444390018816 in words is "four hundred forty-four billion, three hundred ninety million, eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 283 384 402 536 566 768 804 849 1072 1132 1608 1698 2144 2264 3216 3396 4288 4528 6432 6792 8576 9056 12864 13584 17152 18112 18961 25728 27168 30517 36224 37922 51456 54336 56883 61034 72448 75844 91551 108672 113766 122068 151688 183102 217344 227532 244136 303376 366204 455064 488272 606752 732408 910128 976544 1213504 1464816 1820256 1953088 2044639 2427008 2929632 3640512 3906176 4089278 4854016 5859264 6133917 7281024 7812352 8178556 8636311 11718528 12267834 14562048 16357112 17272622 23437056 24535668 25908933 32714224 34545244 49071336 51817866 65428448 69090488 98142672 103635732 130856896 138180976 196285344 207271464 261713792 276361952 392570688 414542928 523427584 552723904 578632837 785141376 829085856 1105447808 1157265674 1570282752 1658171712 1735898511 2210895616 2314531348 3316343424 3471797022 4629062696 6632686848 6943594044 9258125392 13887188088 18516250784 27774376176 37032501568 55548752352 74065003136 111097504704 148130006272 222195009408 444390018816