444201918138
444,201,918,138 is an even composite number composed of seven prime numbers multiplied together.
What does the number 444201918138 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
444201918138 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 444201918138:
2 × 34 × 11 × 292 × 43 × 61 × 113
(2 × 3 × 3 × 3 × 3 × 11 × 29 × 29 × 43 × 61 × 113)See below for interesting mathematical facts about the number 444201918138 from the Numbermatics database.
Names of 444201918138
- Cardinal: 444201918138 can be written as Four hundred forty-four billion, two hundred one million, nine hundred eighteen thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 4.44201918138 × 1011
Factors of 444201918138
Divisors of 444201918138
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 6 9 11 18 22 27 29 33 43 54 58 61 66 81 86 87 99 113 122 129 162 174 183 198 226 258 261 297 319 339 366 387 473 522 549 594 638 671 678 774 783 841 891 946 957 1017 1098 1161 1243 1247 1342 1419 1566 1647 1682 1769 1782 1914 2013 2034 2322 2349 2486 2494 2523 2623 2838 2871 3051 3277 3294 3483 3538 3729 3741 4026 4257 4698 4859 4941 5046 5246 5307 5742 6039 6102 6554 6893 6966 7458 7482 7569 7869 8514 8613 9153 9251 9718 9831 9882 10614 11187 11223 12078 12771 13717 13786 14577 15138 15738 15921 17226 18117 18306 18502 19459 19662 20679 22374 22446 22707 23607 25542 25839 27434 27753 28853 29154 29493 31842 33561 33669 36047 36163 36234 38313 38918 41151 41358 43731 45414 47214 47763 51301 51678 53449 54351 55506 57706 58377 58986 62037 67122 67338 68121 70821 72094 72326 75823 76067 76626 82302 83259 86559 87462 88479 95033 95526 100683 101007 102602 106898 108141 108489 108702 116754 123453 124074 131193 136242 140911 141642 143289 151646 152134 153903 160347 166518 173118 175131 176958 186111 190066 199897 201366 202014 212463 216282 216978 227469 228201 246906 249777 259677 262386 265437 281822 285099 286578 296399 307806 320694 324423 325467 350262 370359 372222 393579 397793 399794 422733 424926 454938 456402 461709 481041 499554 519354 525393 530874 558333 564311 570198 592798 599691 648846 650934 682407 684603 740718 749331 779031 787158 795586 836737 845466 855297 889197 923418 962082 973269 976401 1045363 1050786 1111077 1116666 1128622 1193379 1199382 1268199 1364814 1369206 1385127 1443123 1498662 1550021 1558062 1576179 1673474 1692933 1710594 1778394 1799073 1946538 1952802 2047221 2053809 2090726 2198867 2205943 2222154 2337093 2386758 2510211 2536398 2565891 2667591 2770254 2886246 2919807 2929203 3100042 3136089 3152358 3260389 3385866 3580137 3598146 3804597 4086419 4094442 4107618 4155381 4329369 4397734 4411886 4650063 4674186 5020422 5078799 5131782 5335182 5397219 5797013 5839614 5858406 6141663 6161427 6272178 6520778 6596601 6617829 7160274 7530633 7609194 7697673 8002773 8172838 8310762 8595571 8658738 9300126 9408267 9781167 10157598 10740411 10794438 11413791 11594026 12259257 12283326 12322854 13193202 13235658 13950189 15061266 15236397 15395346 16005546 16191657 17191142 17391039 18816534 19562334 19789803 19853487 21480822 22591899 22827582 24008319 24265373 24518514 25786713 27900378 28224801 29343501 30472794 32221233 32383314 34782078 36777771 39579606 39706974 41850567 44950609 45183798 45709191 48016638 48530746 51573426 52173117 56449602 58687002 59369409 59560461 63767143 64442466 67775697 72796119 73555542 77360139 83701134 84674403 88030503 89901218 91418382 94551281 104346234 110333313 118738818 119120922 125551701 127534286 134851827 135551394 145592238 154720278 156519351 169348806 176061006 178108227 178681383 189102562 191301429 218388357 220666626 232080417 249271559 251103402 264091509 269703654 283653843 313038702 330999939 356216454 357362766 382602858 404555481 436776714 464160834 469558053 498543118 528183018 567307686 573904287 655165071 661999878 696241251 747814677 809110962 850961529 939116106 1147808574 1213666443 1310330142 1392482502 1495629354 1701923058 1721712861 1965495213 2243444031 2427332886 2552884587 2741987149 3443425722 3640999329 3930990426 4486888062 5105769174 5165138583 5483974298 6730332093 7281998658 7658653761 8225961447 10330277166 13460664186 15317307522 16451922894 20190996279 24677884341 40381992558 49355768682 74033653023 148067306046 222100959069 444201918138
- Sum of all divisors σ(n): 1179927283392
- Sum of proper divisors (its aliquot sum) s(n): 735725365254
- 444201918138 is an abundant number, because the sum of its proper divisors (735725365254) is greater than itself. Its abundance is 291523447116
Bases of 444201918138
- Binary: 1100111011011000111111101011110101110102
- Hexadecimal: 0x676C7F5EBA
- Base-36: 5O2ACPMI
Squares and roots of 444201918138
- 444201918138 squared (4442019181382) is 197315344077478453387044
- 444201918138 cubed (4442019181383) is 87647854317275387080890567717804072
-
The
square root of 444201918138 is 666484.7471157911 -
The
cube root of 444201918138 is 7630.0399145353
Scales and comparisons
How big is 444201918138?- 444,201,918,138 seconds is equal to 14,124 years, 12 weeks, 5 days, 21 hours, 42 minutes, 18 seconds.
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To count from 1 to 444,201,918,138 would take you about twenty-eight thousand, two hundred forty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 444201918138 cubic inches would be around 635.8 feet tall.
Recreational maths with 444201918138
- 444201918138 backwards is 831819102444
- The number of decimal digits it has is: 12
- The sum of 444201918138's digits is 45
- More coming soon!
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