3444820144128
3,444,820,144,128 is an even composite number composed of five prime numbers multiplied together.
3444820144128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 3444820144128:
212 × 33 × 112 × 127 × 2027
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 127 × 2027)See below for interesting mathematical facts about the number 3444820144128 from the Numbermatics database.
Names of 3444820144128
- Cardinal: 3444820144128 can be written as Three trillion, four hundred forty-four billion, eight hundred twenty million, one hundred forty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 3.444820144128 × 1012
Factors of 3444820144128
Divisors of 3444820144128
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 121 127 128 132 144 176 192 198 216 242 254 256 264 288 297 352 363 381 384 396 432 484 508 512 528 576 594 704 726 762 768 792 864 968 1016 1024 1056 1089 1143 1152 1188 1397 1408 1452 1524 1536 1584 1728 1936 2027 2032 2048 2112 2178 2286 2304 2376 2794 2816 2904 3048 3072 3168 3267 3429 3456 3872 4054 4064 4096 4191 4224 4356 4572 4608 4752 5588 5632 5808 6081 6096 6144 6336 6534 6858 6912 7744 8108 8128 8382 8448 8712 9144 9216 9504 11176 11264 11616 12162 12192 12288 12573 12672 13068 13716 13824 15367 15488 16216 16256 16764 16896 17424 18243 18288 18432 19008 22297 22352 22528 23232 24324 24384 25146 25344 26136 27432 27648 30734 30976 32432 32512 33528 33792 34848 36486 36576 36864 37719 38016 44594 44704 45056 46101 46464 48648 48768 50292 50688 52272 54729 54864 55296 61468 61952 64864 65024 66891 67056 67584 69696 72972 73152 75438 76032 89188 89408 92202 92928 97296 97536 100584 101376 104544 109458 109728 110592 122936 123904 129728 130048 133782 134112 135168 138303 139392 145944 146304 150876 152064 178376 178816 184404 185856 194592 195072 200673 201168 202752 209088 218916 219456 245267 245872 247808 257429 259456 260096 267564 268224 276606 278784 291888 292608 301752 304128 356752 357632 368808 371712 389184 390144 401346 402336 405504 414909 418176 437832 438912 490534 491744 495616 514858 518912 520192 535128 536448 553212 557568 583776 585216 602019 603504 608256 713504 715264 735801 737616 743424 772287 778368 780288 802692 804672 829818 836352 875664 877824 981068 983488 1029716 1037824 1070256 1072896 1106424 1115136 1167552 1170432 1204038 1207008 1216512 1427008 1430528 1471602 1475232 1486848 1544574 1556736 1560576 1605384 1609344 1659636 1672704 1751328 1755648 1962136 1966976 2059432 2075648 2140512 2145792 2207403 2212848 2230272 2316861 2335104 2340864 2408076 2414016 2831719 2854016 2861056 2943204 2950464 3089148 3113472 3210768 3218688 3319272 3345408 3502656 3511296 3924272 3933952 4118864 4151296 4281024 4291584 4414806 4425696 4460544 4633722 4670208 4681728 4816152 4828032 5663438 5708032 5722112 5886408 5900928 6178296 6226944 6421536 6437376 6622209 6638544 6690816 6950583 7005312 7022592 7848544 7867904 8237728 8302592 8495157 8562048 8583168 8829612 8851392 9267444 9340416 9632304 9656064 11326876 11416064 11772816 11801856 12356592 12453888 12843072 12874752 13244418 13277088 13381632 13901166 14010624 14045184 15697088 15735808 16475456 16990314 17124096 17166336 17659224 17702784 18534888 18680832 19264608 19312128 22653752 22832128 23545632 23603712 24713184 24907776 25485471 25686144 25749504 26488836 26554176 27802332 28021248 31148909 31394176 31471616 32950912 33980628 34248192 35318448 35405568 37069776 37361664 38529216 38624256 45307504 45664256 47091264 47207424 49426368 50970942 51372288 51499008 52977672 53108352 55604664 56042496 62297818 62788352 62943232 65901824 67961256 68496384 70636896 70811136 74139552 74723328 76456413 77058432 77248512 90615008 91328512 93446727 94182528 94414848 98852736 101941884 102744576 105955344 106216704 111209328 112084992 124595636 125576704 131803648 135922512 136992768 141273792 141622272 148279104 152912826 154116864 154497024 181230016 186893454 188365056 188829696 197705472 203883768 205489152 211910688 212433408 222418656 224169984 249191272 251153408 263607296 271845024 273985536 280340181 282547584 283244544 296558208 305825652 308233728 362460032 373786908 376730112 395410944 407767536 410978304 423821376 424866816 444837312 498382544 502306816 527214592 543690048 560680362 565095168 566489088 593116416 611651304 616467456 724920064 747573816 753460224 790821888 815535072 821956608 841020543 847642752 849733632 889674624 996765088 1004613632 1054429184 1087380096 1121360724 1130190336 1186232832 1223302608 1232934912 1449840128 1495147632 1506920448 1581643776 1631070144 1682041086 1695285504 1699467264 1779349248 1993530176 2174760192 2242721448 2260380672 2372465664 2446605216 2465869824 2899680256 2990295264 3013840896 3163287552 3262140288 3364082172 3390571008 3558698496 3987060352 4349520384 4485442896 4520761344 4744931328 4893210432 5799360512 5980590528 6524280576 6728164344 6781142016 7117396992 7974120704 8699040768 8970885792 9041522688 9489862656 9786420864 11598721024 11961181056 13048561152 13456328688 13562284032 14234793984 15948241408 17398081536 17941771584 19572841728 23922362112 26097122304 26912657376 27124568064 28469587968 31896482816 34796163072 35883543168 39145683456 47844724224 52194244608 53825314752 63792965632 71767086336 78291366912 95689448448 104388489216 107650629504 127585931264 143534172672 156582733824 191378896896 215301259008 287068345344 313165467648 382757793792 430602518016 574136690688 861205036032 1148273381376 1722410072064 3444820144128
- Sum of all divisors σ(n): 11311663534080
- Sum of proper divisors (its aliquot sum) s(n): 7866843389952
- 3444820144128 is an abundant number, because the sum of its proper divisors (7866843389952) is greater than itself. Its abundance is 4422023245824
Bases of 3444820144128
- Binary: 1100100010000011110100011111110000000000002
- Hexadecimal: 0x3220F47F000
- Base-36: 17YJ0YYO0
Squares and roots of 3444820144128
- 3444820144128 squared (34448201441282) is 11866785825390054692880384
- 3444820144128 cubed (34448201441283) is 40878942857356275648946007186343985152
-
The
square root of 3444820144128 is 1856022.6679995047 -
The
cube root of 3444820144128 is 15102.7320526633
Scales and comparisons
How big is 3444820144128?- 3,444,820,144,128 seconds is equal to 109,534 years, 32 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 3,444,820,144,128 would take you about two hundred seventy-three thousand, eight hundred thirty-six 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 3444820144128 cubic inches would be around 1258.6 feet tall.
Recreational maths with 3444820144128
- 3444820144128 backwards is 8214410284443
- The number of decimal digits it has is: 13
- The sum of 3444820144128's digits is 45
- More coming soon!
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