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44068580244 = 2232132316325117
BaseRepresentation
bin101001000010101100…
…010010101110010100
311012202012210211100200
4221002230102232110
51210223024031434
632124514340500
73120026515533
oct510254225624
9135665724320
1044068580244
1117764623657
12865a58a730
134203c664b0
1421c0a9431a
15122dca7199
hexa42b12b94

44068580244 has 144 divisors (see below), whose sum is σ = 125953306752. Its totient is φ = 12889933056.

The previous prime is 44068580219. The next prime is 44068580263. The reversal of 44068580244 is 44208586044.

44068580244 is a `hidden beast` number, since 4 + 4 + 0 + 68 + 580 + 2 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 44068580244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741974 + ... + 1767090.

Almost surely, 244068580244 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 44068580244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62976653376).

44068580244 is an abundant number, since it is smaller than the sum of its proper divisors (81884726508).

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

44068580244 is a wasteful number, since it uses less digits than its factorization.

44068580244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25326 (or 25321 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 44068580244 in words is "forty-four billion, sixty-eight million, five hundred eighty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 163 207 234 276 299 326 414 468 489 598 652 828 897 978 1196 1467 1794 1956 2119 2691 2934 3588 3749 4238 5382 5868 6357 7498 8476 10764 11247 12714 14996 19071 22494 25117 25428 33741 38142 44988 48737 50234 67482 75351 76284 97474 100468 134964 146211 150702 194948 226053 292422 301404 326521 438633 452106 577691 584844 653042 877266 904212 979563 1155382 1306084 1733073 1754532 1959126 2310764 2938689 3466146 3918252 4094071 5199219 5877378 6932292 7509983 8188142 10398438 11754756 12282213 15019966 16376284 20796876 22529949 24564426 30039932 36846639 45059898 49128852 53222923 67589847 73693278 90119796 94163633 106445846 135179694 147386556 159668769 188327266 212891692 270359388 282490899 319337538 376654532 479006307 564981798 638675076 847472697 958012614 1129963596 1224127229 1694945394 1916025228 2448254458 3389890788 3672381687 4896508916 7344763374 11017145061 14689526748 22034290122 44068580244