48946817809304064
48,946,817,809,304,064 is an even composite number composed of five prime numbers multiplied together.
What does the number 48946817809304064 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
48946817809304064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 48946817809304064:
29 × 32 × 133 × 312 × 22432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 31 × 31 × 2243 × 2243)See below for interesting mathematical facts about the number 48946817809304064 from the Numbermatics database.
Names of 48946817809304064
- Cardinal: 48946817809304064 can be written as Forty-eight quadrillion, nine hundred forty-six trillion, eight hundred seventeen billion, eight hundred nine million, three hundred four thousand and sixty-four.
Scientific notation
- Scientific notation: 4.8946817809304064 × 1016
Factors of 48946817809304064
Divisors of 48946817809304064
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 93 96 104 117 124 128 144 156 169 186 192 208 234 248 256 279 288 312 338 372 384 403 416 468 496 507 512 558 576 624 676 744 768 806 832 936 961 992 1014 1116 1152 1209 1248 1352 1488 1521 1536 1612 1664 1872 1922 1984 2028 2197 2232 2243 2304 2418 2496 2704 2883 2976 3042 3224 3328 3627 3744 3844 3968 4056 4394 4464 4486 4608 4836 4992 5239 5408 5766 5952 6084 6448 6591 6656 6729 7254 7488 7688 7936 8112 8649 8788 8928 8972 9672 9984 10478 10816 11532 11904 12168 12493 12896 13182 13458 14508 14976 15376 15717 15872 16224 17298 17576 17856 17944 19344 19773 19968 20187 20956 21632 23064 23808 24336 24986 25792 26364 26916 29016 29159 29952 30752 31434 32448 34596 35152 35712 35888 37479 38688 39546 40374 41912 43264 46128 47151 47616 48672 49972 51584 52728 53832 58032 58318 59904 61504 62868 64896 68107 69192 69533 70304 71424 71776 74958 77376 79092 80748 83824 86528 87477 92256 94302 97344 99944 103168 105456 107664 112437 116064 116636 123008 125736 129792 136214 138384 139066 140608 142848 143552 149916 154752 158184 161496 162409 167648 174954 184512 188604 194688 199888 204321 206336 208599 210912 215328 224874 232128 233272 246016 251472 259584 262431 272428 276768 278132 281216 287104 299832 309504 316368 322992 324818 335296 349908 369024 377208 379067 389376 399776 408642 417198 421824 430656 449748 464256 466544 487227 492032 502944 524862 544856 553536 556264 562432 574208 599664 612963 619008 625797 632736 645984 649636 670592 699816 738048 754416 758134 778752 799552 817284 834396 843648 861312 899496 903929 928512 933088 974454 1005888 1049724 1089712 1107072 1112528 1124864 1137201 1148416 1199328 1225926 1251594 1265472 1291968 1299272 1341184 1399632 1461681 1476096 1508832 1516268 1599104 1634568 1668792 1687296 1722624 1798992 1807858 1857024 1866176 1948908 2011776 2099448 2111317 2155523 2179424 2214144 2225056 2274402 2398656 2451852 2503188 2530944 2583936 2598544 2682368 2711787 2799264 2923362 3017664 3032536 3198208 3269136 3337584 3374592 3411603 3445248 3597984 3615716 3732352 3897816 4023552 4198896 4222634 4311046 4358848 4428288 4450112 4548804 4797312 4903704 4927871 5006376 5031049 5061888 5167872 5197088 5423574 5598528 5846724 6035328 6065072 6333951 6396416 6466569 6538272 6675168 6823206 7195968 7231432 7464704 7795632 8047104 8135361 8397792 8445268 8622092 8717696 8900224 9097608 9594624 9807408 9855742 10012752 10062098 10123776 10335744 10394176 10847148 11197056 11693448 11751077 12070656 12130144 12667902 12933138 13076544 13350336 13646412 14391936 14462864 14783613 14929408 15093147 15591264 16270722 16795584 16890536 17244184 17435392 17800448 18195216 19001853 19189248 19399707 19614816 19711484 20025504 20124196 20788352 21694296 22394112 23386896 23502154 24141312 24260288 25335804 25866276 26153088 26700672 27292824 28021799 28783872 28925728 29567226 30186294 31182528 32541444 33591168 33781072 34488368 34870784 35253231 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7353788733369 7426311304704 7591007724768 8045170580096 8223591701832 8488868853504 9050816902608 9342778738176 9805051644492 10121343633024 10622139281533 10911016007424 10964788935776 11139466957056 12067755870144 12335387552748 12733303280256 13073402192656 13495124844032 14707577466738 15182015449536 16090341160192 16447183403664 16977737707008 18101633805216 19610103288984 20242687266048 21244278563066 21822032014848 21929577871552 22278933914112 24135511740288 24670775105496 25466606560512 26146804385312 29415154933476 30364030899072 31866417844599 32180682320384 32894366807328 36203267610432 39220206577968 40485374532096 42488557126132 43859155743104 48271023480576 49341550210992 50933213121024 52293608770624 58830309866952 60728061798144 63732835689198 65788733614656 72406535220864 78440413155936 84977114252264 87718311486208 95599253533797 96542046961152 98683100421984 104587217541248 117660619733904 121456123596288 127465671378396 131577467229312 144813070441728 156880826311872 169954228504528 175436622972416 191198507067594 197366200843968 209174435082496 235321239467808 254931342756792 263154934458624 289626140883456 313761652623744 339908457009056 382397014135188 394732401687936 418348870164992 470642478935616 509862685513584 526309868917248 627523305247488 679816914018112 764794028270376 789464803375872 941284957871232 1019725371027168 1255046610494976 1359633828036224 1529588056540752 1578929606751744 1882569915742464 2039450742054336 2719267656072448 3059176113081504 3765139831484928 4078901484108672 5438535312144896 6118352226163008 8157802968217344 12236704452326016 16315605936434688 24473408904652032 48946817809304064
- Sum of all divisors σ(n): 158196694242967380
- Sum of proper divisors (its aliquot sum) s(n): 109249876433663316
- 48946817809304064 is an abundant number, because the sum of its proper divisors (109249876433663316) is greater than itself. Its abundance is 60303058624359252
Bases of 48946817809304064
- Binary: 101011011110010011011111000110000110100011001010000000002
- Hexadecimal: 0xADE4DF1868CA00
- Base-36: DDY75OI9VK0
Squares and roots of 48946817809304064
- 48946817809304064 squared (489468178093040642) is 2395790973657205490901644006916096
- 48946817809304064 cubed (489468178093040643) is 117266344296774429369851280875484404344872599814144
-
The
square root of 48946817809304064 is 221239277.2753157953 -
The
cube root of 48946817809304064 is 365798.1353946513
Scales and comparisons
How big is 48946817809304064?- 48,946,817,809,304,064 seconds is equal to 1,556,357,403 years, 46 weeks, 1 day, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 48,946,817,809,304,064 would take you about four billion, six hundred sixty-nine million, seventy-two thousand, two hundred eleven 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 48946817809304064 cubic inches would be around 30483.2 feet tall.
Recreational maths with 48946817809304064
- 48946817809304064 backwards is 46040390871864984
- The number of decimal digits it has is: 17
- The sum of 48946817809304064's digits is 81
- More coming soon!
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"Number 48946817809304064 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 48946817809304064 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/48946817809304064/
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The information we have on file for 48946817809304064 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 48946817809304064, math, Factors of 48946817809304064, curriculum, school, college, exams, university, Prime factorization of 48946817809304064, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, nine hundred forty-six trillion, eight hundred seventeen billion, eight hundred nine million, three hundred four thousand and sixty-four.