3438414987264
3,438,414,987,264 is an even composite number composed of five prime numbers multiplied together.
3438414987264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred eighty divisors.
Prime factorization of 3438414987264:
216 × 34 × 19 × 73 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 73 × 467)See below for interesting mathematical facts about the number 3438414987264 from the Numbermatics database.
Names of 3438414987264
- Cardinal: 3438414987264 can be written as Three trillion, four hundred thirty-eight billion, four hundred fourteen million, nine hundred eighty-seven thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 3.438414987264 × 1012
Factors of 3438414987264
Divisors of 3438414987264
- Number of divisors d(n): 680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 73 76 81 96 108 114 128 144 146 152 162 171 192 216 219 228 256 288 292 304 324 342 384 432 438 456 467 512 513 576 584 608 648 657 684 768 864 876 912 934 1024 1026 1152 1168 1216 1296 1314 1368 1387 1401 1536 1539 1728 1752 1824 1868 1971 2048 2052 2304 2336 2432 2592 2628 2736 2774 2802 3072 3078 3456 3504 3648 3736 3942 4096 4104 4161 4203 4608 4672 4864 5184 5256 5472 5548 5604 5913 6144 6156 6912 7008 7296 7472 7884 8192 8208 8322 8406 8873 9216 9344 9728 10368 10512 10944 11096 11208 11826 12288 12312 12483 12609 13824 14016 14592 14944 15768 16384 16416 16644 16812 17746 18432 18688 19456 20736 21024 21888 22192 22416 23652 24576 24624 24966 25218 26619 27648 28032 29184 29888 31536 32768 32832 33288 33624 34091 35492 36864 37376 37449 37827 38912 41472 42048 43776 44384 44832 47304 49152 49248 49932 50436 53238 55296 56064 58368 59776 63072 65536 65664 66576 67248 68182 70984 73728 74752 74898 75654 77824 79857 82944 84096 87552 88768 89664 94608 98304 98496 99864 100872 102273 106476 110592 112128 112347 116736 119552 126144 131328 133152 134496 136364 141968 147456 149504 149796 151308 155648 159714 165888 168192 175104 177536 179328 189216 196608 196992 199728 201744 204546 212952 221184 224256 224694 233472 239104 239571 252288 262656 266304 268992 272728 283936 294912 299008 299592 302616 306819 311296 319428 331776 336384 350208 355072 358656 378432 393984 399456 403488 409092 425904 442368 448512 449388 466944 478208 479142 504576 525312 532608 537984 545456 567872 589824 598016 599184 605232 613638 622592 638856 647729 663552 672768 700416 710144 717312 718713 756864 787968 798912 806976 818184 851808 884736 897024 898776 920457 933888 956416 958284 1009152 1050624 1065216 1075968 1090912 1135744 1196032 1198368 1210464 1227276 1245184 1277712 1295458 1327104 1345536 1400832 1420288 1434624 1437426 1513728 1575936 1597824 1613952 1636368 1703616 1769472 1794048 1797552 1840914 1867776 1912832 1916568 1943187 2018304 2101248 2130432 2151936 2181824 2271488 2392064 2396736 2420928 2454552 2555424 2590916 2654208 2691072 2761371 2801664 2840576 2869248 2874852 3027456 3151872 3195648 3227904 3272736 3407232 3588096 3595104 3681828 3735552 3825664 3833136 3886374 4036608 4202496 4260864 4303872 4363648 4542976 4784128 4793472 4841856 4909104 5110848 5181832 5308416 5382144 5522742 5603328 5681152 5738496 5749704 5829561 6054912 6303744 6391296 6455808 6545472 6814464 7176192 7190208 7363656 7651328 7666272 7772748 8073216 8404992 8521728 8607744 8727296 9085952 9586944 9683712 9818208 10221696 10363664 10764288 11045484 11206656 11362304 11476992 11499408 11659122 12109824 12607488 12782592 12911616 13090944 13628928 14352384 14380416 14727312 15302656 15332544 15545496 16146432 16809984 17043456 17215488 17454592 17488683 18171904 19173888 19367424 19636416 20443392 20727328 21528576 22090968 22724608 22953984 22998816 23318244 24219648 25214976 25565184 25823232 26181888 27257856 28760832 29454624 30605312 30665088 31090992 32292864 33619968 34086912 34430976 34909184 34977366 36343808 38347776 38734848 39272832 40886784 41454656 43057152 44181936 45449216 45907968 45997632 46636488 48439296 50429952 51130368 51646464 52363776 52466049 54515712 57521664 58909248 61330176 62181984 64585728 68173824 68861952 69818368 69954732 72687616 76695552 77469696 78545664 81773568 82909312 88363872 90898432 91815936 91995264 93272976 96878592 100859904 102260736 103292928 104727552 104932098 109031424 115043328 117818496 122660352 124363968 129171456 136347648 137723904 139636736 139909464 145375232 153391104 154939392 157091328 163547136 165818624 176727744 183990528 186545952 193757184 204521472 206585856 209455104 209864196 218062848 230086656 235636992 245320704 248727936 272695296 275447808 279273472 279818928 290750464 306782208 309878784 314182656 327094272 331637248 353455488 367981056 373091904 387514368 409042944 413171712 418910208 419728392 436125696 460173312 471273984 490641408 497455872 558546944 559637856 581500928 613564416 619757568 628365312 654188544 663274496 706910976 735962112 746183808 818085888 826343424 837820416 839456784 872251392 920346624 942547968 981282816 994911744 1117093888 1119275712 1227128832 1239515136 1256730624 1308377088 1326548992 1413821952 1471924224 1492367616 1675640832 1678913568 1744502784 1840693248 1885095936 1962565632 1989823488 2234187776 2238551424 2454257664 2479030272 2513461248 2616754176 2653097984 2827643904 2943848448 2984735232 3351281664 3357827136 3681386496 3770191872 3925131264 3979646976 4477102848 5026922496 5233508352 5306195968 5655287808 5887696896 5969470464 6702563328 6715654272 7362772992 7540383744 7850262528 7959293952 8954205696 10053844992 10612391936 11310575616 11775393792 11938940928 13431308544 15080767488 15700525056 15918587904 17908411392 20107689984 21224783872 22621151232 23550787584 23877881856 26862617088 30161534976 31837175808 35816822784 42449567744 45242302464 47101575168 47755763712 53725234176 60323069952 63674351616 71633645568 90484604928 95511527424 107450468352 127348703232 143267291136 180969209856 191023054848 214900936704 286534582272 382046109696 429801873408 573069164544 859603746816 1146138329088 1719207493632 3438414987264
- Sum of all divisors σ(n): 10984987110240
- Sum of proper divisors (its aliquot sum) s(n): 7546572122976
- 3438414987264 is an abundant number, because the sum of its proper divisors (7546572122976) is greater than itself. Its abundance is 4108157135712
Bases of 3438414987264
- Binary: 1100100000100100011000000100000000000000002
- Hexadecimal: 0x32091810000
- Base-36: 17VL3I800
Squares and roots of 3438414987264
- 3438414987264 squared (34384149872642) is 11822697624641693282205696
- 3438414987264 cubed (34384149872643) is 40651340702458490859498692569668255744
-
The
square root of 3438414987264 is 1854296.3590710087 -
The
cube root of 3438414987264 is 15093.3657789455
Scales and comparisons
How big is 3438414987264?- 3,438,414,987,264 seconds is equal to 109,330 years, 49 weeks, 6 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 3,438,414,987,264 would take you about two hundred seventy-three thousand, three hundred twenty-seven 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 3438414987264 cubic inches would be around 1257.8 feet tall.
Recreational maths with 3438414987264
- 3438414987264 backwards is 4627894148343
- The number of decimal digits it has is: 13
- The sum of 3438414987264's digits is 63
- More coming soon!
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