164416849838106912
164,416,849,838,106,912 is an even composite number composed of five prime numbers multiplied together.
What does the number 164416849838106912 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1350 divisors.
164416849838106912 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred fifty divisors.
Prime factorization of 164416849838106912:
25 × 32 × 234 × 314 × 472
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 23 × 23 × 23 × 31 × 31 × 31 × 31 × 47 × 47)See below for interesting mathematical facts about the number 164416849838106912 from the Numbermatics database.
Names of 164416849838106912
- Cardinal: 164416849838106912 can be written as One hundred sixty-four quadrillion, four hundred sixteen trillion, eight hundred forty-nine billion, eight hundred thirty-eight million, one hundred six thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.64416849838106912 × 1017
Factors of 164416849838106912
Divisors of 164416849838106912
- Number of divisors d(n): 1350
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 47 48 62 69 72 92 93 94 96 124 138 141 144 184 186 188 207 248 276 279 282 288 368 372 376 414 423 496 529 552 558 564 713 736 744 752 828 846 961 992 1058 1081 1104 1116 1128 1426 1457 1488 1504 1587 1656 1692 1922 2116 2139 2162 2208 2209 2232 2256 2852 2883 2914 2976 3174 3243 3312 3384 3844 4232 4278 4324 4371 4418 4464 4512 4761 5704 5766 5828 6348 6417 6486 6624 6627 6768 7688 8464 8556 8648 8649 8742 8836 8928 9522 9729 11408 11532 11656 12167 12696 12834 12972 13113 13254 13536 15376 16399 16928 17112 17296 17298 17484 17672 19044 19458 19881 22103 22816 23064 23312 24334 24863 25392 25668 25944 26226 26508 29791 30752 32798 33511 34224 34592 34596 34968 35344 36501 38088 38916 39762 44206 45167 46128 46624 48668 49197 49726 50784 50807 51336 51888 52452 53016 59582 65596 66309 67022 68448 68479 69192 69936 70688 73002 74589 76176 77832 79524 88412 89373 90334 92256 97336 98394 99452 100533 101614 102672 103776 104904 106032 109503 119164 131192 132618 134044 135501 136958 138384 139872 146004 147591 149178 152352 152421 155664 159048 176824 178746 180668 194672 196788 198904 198927 201066 203228 205344 205437 209808 212064 219006 223767 238328 262384 265236 268088 268119 271002 273916 276768 279841 292008 295182 298356 301599 304842 311328 318096 353648 357492 361336 377177 389344 393576 397808 397854 402132 406456 406503 410874 419616 438012 447534 457263 476656 508369 524768 530472 536176 536238 542004 547832 559682 571849 584016 590364 596712 603198 609684 616311 636192 685193 707296 714984 722672 754354 770753 787152 795616 795708 804264 812912 813006 821748 839523 876024 895068 914526 923521 953312 1016738 1038841 1060944 1072352 1072476 1084008 1095664 1119364 1131531 1143698 1168032 1168561 1180728 1193424 1206396 1219368 1232622 1370386 1400177 1429968 1445344 1508708 1525107 1541506 1574304 1575017 1591416 1608528 1625824 1626012 1643496 1679046 1715547 1752048 1790136 1829052 1847042 2033476 2055579 2077682 2121888 2122849 2144952 2168016 2191328 2238728 2263062 2287396 2312259 2337122 2361456 2386848 2412792 2438736 2465244 2518569 2740772 2770563 2800354 2859936 3017416 3050214 3083012 3116523 3150034 3182832 3217056 3252024 3286992 3358092 3394593 3431094 3504096 3505683 3580272 3658104 3694084 4066952 4111158 4155364 4200531 4245698 4289904 4336032 4477456 4526124 4574792 4575321 4624518 4674244 4722912 4725051 4825584 4877472 4930488 5037138 5146641 5481544 5541126 5600708 6034832 6100428 6166024 6166737 6233046 6300068 6365664 6368547 6504048 6573984 6716184 6789186 6862188 6936777 7011366 7160544 7316208 7388168 8133904 8222316 8310728 8311689 8401062 8491396 8579808 8675071 8954912 9052248 9149584 9150642 9249036 9348488 9349569 9450102 9651168 9860976 10074276 10293282 10517049 10963088 11082252 11201416 11692487 12069664 12200856 12332048 12333474 12466092 12600136 12601593 12737094 13008096 13152527 13432368 13578372 13724376 13873554 14022732 14175153 14632416 14776336 15759439 16267808 16444632 16621456 16623378 16802124 16982792 17350142 17727319 18104496 18299168 18301284 18498072 18696976 18699138 18900204 19105641 19721952 20148552 20586564 21034098 21240983 21926176 22164504 22402832 23384974 23893343 24401712 24664096 24666948 24932184 25200272 25203186 25474188 26025213 26305054 26864736 26876903 27156744 27448752 27747108 28045464 28350306 29552672 31518878 32204071 32889264 33242912 33246756 33604248 33965584 34700284 35077461 35454638 36208992 36225391 36602568 36996144 37393952 37398276 37800408 38211282 39457581 40297104 41173128 42068196 42481966 43405487 44329008 44805664 46769948 47278317 47786686 48803424 48825527 49333896 49864368 50400544 50406372 50948376 52050426 52610108 53181957 53753806 54313488 54897504 55494216 56090928 56700612 63037756 63722949 64408142 65778528 65808319 66493512 67208496 67931168 69400568 70154922 70909276 71680029 72450782 73205136 73992288 74796552 75600816 76422564 78075639 78915162 80594208 80630709 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441980779134696 446784918038334 570891839715649 583038474603216 589307705512928 595713224051112 662971168702044 794284298734816 874557711904824 883961558269392 893569836076668 1141783679431298 1166076949206432 1191426448102224 1325942337404088 1712675519146947 1749115423809648 1767923116538784 1787139672153336 2283567358862596 2382852896204448 2651884674808176 3425351038293894 3498230847619296 3574279344306672 4567134717725192 5138026557440841 5303769349616352 6850702076587788 7148558688613344 9134269435450384 10276053114881682 13701404153175576 18268538870900768 20552106229763364 27402808306351152 41104212459526728 54805616612702304 82208424919053456 164416849838106912
- Sum of all divisors σ(n): 516082451535365715
- Sum of proper divisors (its aliquot sum) s(n): 351665601697258803
- 164416849838106912 is an abundant number, because the sum of its proper divisors (351665601697258803) is greater than itself. Its abundance is 187248751859151891
Bases of 164416849838106912
- Binary: 10010010000010000001000000111110011011000001101001001000002
- Hexadecimal: 0x2482040F9B06920
- Base-36: 18YWWQ30CG80
Squares and roots of 164416849838106912
- 164416849838106912 squared (1644168498381069122) is 27032900510686596894743771942175744
- 164416849838106912 cubed (1644168498381069123) is 4444664343954041857381722368349637766399811365142528
-
The
square root of 164416849838106912 is 405483476.6523870477 -
The
cube root of 164416849838106912 is 547833.7378094867
Scales and comparisons
How big is 164416849838106912?- 164,416,849,838,106,912 seconds is equal to 5,227,947,250 years, 7 weeks, 3 days, 3 hours, 55 minutes, 12 seconds.
-
To count from 1 to 164,416,849,838,106,912 would take you about fifteen billion, six hundred eighty-three million, eight hundred forty-one thousand, seven hundred fifty 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 164416849838106912 cubic inches would be around 45652.8 feet tall.
Recreational maths with 164416849838106912
- 164416849838106912 backwards is 219601838948614461
- The number of decimal digits it has is: 18
- The sum of 164416849838106912's digits is 81
- More coming soon!
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MLA style:
"Number 164416849838106912 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 164416849838106912 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/164416849838106912/
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Numbermatics. 2024. "Number 164416849838106912 - Facts about the integer". https://numbermatics.com/n/164416849838106912/
The information we have on file for 164416849838106912 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 164416849838106912, math, Factors of 164416849838106912, curriculum, school, college, exams, university, Prime factorization of 164416849838106912, STEM, science, technology, engineering, physics, economics, calculator, one hundred sixty-four quadrillion, four hundred sixteen trillion, eight hundred forty-nine billion, eight hundred thirty-eight million, one hundred six thousand, nine hundred twelve.