164384389728
164,384,389,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 164384389728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
164384389728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 164384389728:
25 × 32 × 13 × 17 × 292 × 37 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 29 × 29 × 37 × 83)See below for interesting mathematical facts about the number 164384389728 from the Numbermatics database.
Names of 164384389728
- Cardinal: 164384389728 can be written as One hundred sixty-four billion, three hundred eighty-four million, three hundred eighty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.64384389728 × 1011
Factors of 164384389728
Divisors of 164384389728
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 29 32 34 36 37 39 48 51 52 58 68 72 74 78 83 87 96 102 104 111 116 117 136 144 148 153 156 166 174 204 208 221 222 232 234 249 261 272 288 296 306 312 332 333 348 377 408 416 442 444 464 468 481 493 498 522 544 592 612 624 629 663 664 666 696 747 754 816 841 884 888 928 936 962 986 996 1044 1073 1079 1131 1184 1224 1248 1258 1326 1328 1332 1392 1411 1443 1479 1494 1508 1632 1682 1768 1776 1872 1887 1924 1972 1989 1992 2088 2146 2158 2262 2407 2448 2516 2523 2652 2656 2664 2784 2822 2886 2958 2988 3016 3071 3219 3237 3364 3393 3536 3552 3744 3774 3848 3944 3978 3984 4176 4233 4292 4316 4329 4437 4524 4814 4896 5032 5046 5304 5328 5644 5661 5772 5916 5976 6032 6142 6409 6438 6474 6728 6786 7072 7221 7548 7569 7696 7888 7956 7968 8177 8352 8466 8584 8632 8658 8874 9048 9213 9628 9657 9711 10064 10092 10608 10656 10933 11288 11322 11544 11832 11952 12064 12284 12699 12818 12876 12948 13456 13572 13949 14297 14442 15096 15138 15392 15776 15912 16354 16932 17168 17264 17316 17748 18096 18241 18343 18426 19227 19256 19314 19422 20128 20184 21216 21663 21866 22576 22644 23088 23664 23904 24531 24568 25398 25636 25752 25896 26912 27144 27639 27898 28594 28884 30192 30276 31117 31291 31824 32708 32799 33864 34336 34528 34632 35496 36192 36482 36686 36852 38454 38512 38628 38844 39923 40368 40919 41847 42891 43326 43732 45152 45288 46176 47328 49062 49136 50796 51272 51504 51792 52207 54288 54723 55029 55278 55796 57188 57681 57768 60384 60552 62234 62582 63648 65416 65598 67728 69264 69803 70992 72964 73372 73593 73704 76908 77024 77256 77688 79846 80736 81838 83694 85782 86652 87464 89059 90576 93351 93873 98124 98272 98397 101592 102544 103008 103584 104414 108576 109446 110058 110556 111592 114376 115362 115536 119769 121104 122757 124468 125164 125541 128673 130832 131196 135456 138528 139606 141984 145928 146744 147186 147408 153816 154512 155376 156621 159692 163676 164169 165087 167388 171564 173304 174928 178118 181152 185861 186702 187746 196248 196794 203184 205088 208828 209409 218892 220116 221112 223184 228752 230724 231072 237133 239538 242208 245514 248936 250328 251082 257346 261664 262392 267177 279212 280053 281619 291856 293488 294372 294816 307632 309024 310752 313242 319384 327352 328338 330174 334776 343128 346608 349856 356236 359307 368271 371722 373404 375492 392496 393588 404521 406368 417656 418818 437784 440232 442224 446368 457504 461448 469863 474266 479076 491028 497872 500656 502164 514692 524784 528989 531947 534354 557583 558424 560106 563238 583712 586976 588744 615264 626484 628227 638768 654704 656676 660348 669552 678691 686256 693216 711399 712472 718614 736542 743444 746808 750984 784992 787176 801531 809042 835312 837636 875568 880464 884448 907439 922896 939726 948532 958152 982056 995744 1001312 1004328 1029384 1049568 1057978 1063894 1068708 1115166 1116848 1120212 1126476 1157767 1177488 1186651 1213563 1252968 1256454 1277536 1309408 1313352 1320696 1339104 1357382 1372512 1422798 1424944 1437228 1473084 1486888 1493616 1501968 1514003 1574352 1586967 1595841 1603062 1618084 1670624 1672749 1675272 1751136 1760928 1814878 1845792 1879452 1897064 1916304 1964112 2008656 2036073 2058768 2115956 2127788 2134197 2137416 2230332 2233696 2240424 2252952 2315534 2354976 2373302 2427126 2505936 2512908 2582711 2626704 2641392 2714764 2722317 2845596 2849888 2874456 2946168 2973776 2987232 3003936 3028006 3148704 3173934 3191682 3206124 3236168 3345498 3350544 3473301 3559953 3629756 3640689 3758904 3794128 3832608 3928224 4017312 4072146 4117536 4231912 4255576 4268394 4274832 4460664 4480848 4505904 4542009 4631068 4746604 4760901 4787523 4854252 5011872 5025816 5165422 5253408 5282784 5429528 5444634 5691192 5748912 5892336 5947552 6056012 6108219 6347868 6383364 6412248 6472336 6690996 6701088 6876857 6946602 7119906 7259512 7281378 7517808 7588256 7748133 8144292 8166951 8463824 8511152 8536788 8549664 8921328 8961696 9011808 9084018 9262136 9493208 9521802 9575046 9708504 10051632 10330844 10419903 10679859 10859056 10889268 11382384 11497824 11784672 12112024 12216438 12695736 12766728 12824496 12944672 13381992 13626027 13753714 13893204 14239812 14519024 14562756 15035616 15426463 15496266 16288584 16333902 16927648 17022304 17073576 17842656 18168036 18524272 18986416 19043604 19150092 19417008 19682039 20103264 20630571 20661688 20839806 21359718 21718112 21778536 22764768 23244399 24224048 24432876 25391472 25533456 25648992 26763984 27252054 27507428 27786408 28479624 29038048 29125512 30852926 30992532 32577168 32667804 33575243 34147152 36336072 37048544 37972832 38087208 38300184 38834016 39364078 41261142 41323376 41679612 42719436 43557072 43906087 46279389 46488798 48448096 48865752 50782944 51066912 53527968 54504108 55014856 55572816 56959248 58251024 59046117 61705852 61891713 61985064 65154336 65335608 67150486 68294304 72672144 76174416 76600368 78728156 82522284 82646752 83359224 85438872 87114144 87812174 92558778 92977596 97731504 100725729 109008216 110029712 111145632 113918496 116502048 118092234 123411704 123783426 123970128 130671216 131718261 134300972 138838167 145344288 152348832 153200736 157456312 165044568 166718448 170877744 175624348 177138351 185117556 185955192 195463008 201451458 218016432 220059424 236184468 246823408 247566852 247940256 261342432 263436522 268601944 277676334 302177187 314912624 330089136 333436896 341755488 351248696 354276702 370235112 371910384 395154783 402902916 436032864 472368936 493646816 495133704 526873044 537203888 555352668 570779131 604354374 629825248 660178272 702497392 708553404 740470224 743820768 790309566 805805832 944737872 990267408 1053746088 1074407776 1110705336 1141558262 1208708748 1404994784 1417106808 1480940448 1580619132 1611611664 1712337393 1889475744 1980534816 2107492176 2221410672 2283116524 2417417496 2834213616 3161238264 3223223328 3424674786 4214984352 4442821344 4566233048 4834834992 5137012179 5668427232 6322476528 6849349572 9132466096 9669669984 10274024358 12644953056 13698699144 18264932192 20548048716 27397398288 41096097432 54794796576 82192194864 164384389728
- Sum of all divisors σ(n): 573806522016
- Sum of proper divisors (its aliquot sum) s(n): 409422132288
- 164384389728 is an abundant number, because the sum of its proper divisors (409422132288) is greater than itself. Its abundance is 245037742560
Bases of 164384389728
- Binary: 100110010001100001001010111010011000002
- Hexadecimal: 0x264612BA60
- Base-36: 23IM7YW0
Squares and roots of 164384389728
- 164384389728 squared (1643843897282) is 27022227586246991913984
- 164384389728 cubed (1643843897283) is 4442032390856338251656010509156352
-
The
square root of 164384389728 is 405443.4482489513 -
The
cube root of 164384389728 is 5477.9768328535
Scales and comparisons
How big is 164384389728?- 164,384,389,728 seconds is equal to 5,226 years, 47 weeks, 4 days, 2 hours, 28 minutes, 48 seconds.
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To count from 1 to 164,384,389,728 would take you about ten thousand, four hundred fifty-three 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 164384389728 cubic inches would be around 456.5 feet tall.
Recreational maths with 164384389728
- 164384389728 backwards is 827983483461
- The number of decimal digits it has is: 12
- The sum of 164384389728's digits is 63
- More coming soon!
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