3998221358173952
3,998,221,358,173,952 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3998221358173952 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
3998221358173952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 3998221358173952:
28 × 72 × 132 × 47 × 73 × 181 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 47 × 73 × 181 × 3037)See below for interesting mathematical facts about the number 3998221358173952 from the Numbermatics database.
Names of 3998221358173952
- Cardinal: 3998221358173952 can be written as Three quadrillion, nine hundred ninety-eight trillion, two hundred twenty-one billion, three hundred fifty-eight million, one hundred seventy-three thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 3.998221358173952 × 1015
Factors of 3998221358173952
Divisors of 3998221358173952
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 47 49 52 56 64 73 91 94 98 104 112 128 146 169 181 182 188 196 208 224 256 292 329 338 362 364 376 392 416 448 511 584 611 637 658 676 724 728 752 784 832 896 949 1022 1168 1183 1222 1267 1274 1316 1352 1448 1456 1504 1568 1664 1792 1898 2044 2303 2336 2353 2366 2444 2534 2548 2632 2704 2896 2912 3008 3037 3136 3328 3431 3577 3796 4088 4277 4606 4672 4706 4732 4888 5068 5096 5264 5408 5792 5824 6016 6074 6272 6643 6862 7154 7592 7943 8176 8281 8507 8554 8869 9212 9344 9412 9464 9776 10136 10192 10528 10816 11584 11648 12032 12148 12337 12544 13213 13286 13724 14308 15184 15886 16352 16471 16562 17014 17108 17738 18424 18688 18824 18928 19552 20272 20384 21056 21259 21632 23168 23296 24017 24296 24674 26426 26572 27448 28616 29939 30368 30589 31772 32704 32942 33124 34028 34216 35476 36848 37648 37856 39104 39481 40544 40768 42112 42518 43264 44603 46336 46501 48034 48592 49348 52852 53144 54896 55601 57232 59549 59878 60736 61178 63544 65408 65884 66248 68056 68432 70952 73696 75296 75712 78208 78962 81088 81536 84224 85036 86359 89206 92491 93002 96068 97184 98696 105704 106288 109792 110591 111202 114464 115297 119098 119756 121472 122356 127088 130816 131768 132496 136112 136864 141904 142739 147392 148813 150592 151424 156416 157924 162176 163072 168119 170072 171769 172718 178412 184982 186004 192136 194368 197392 211408 212576 214123 219584 221182 221701 222404 228928 230594 238196 239512 242944 244712 254176 263536 264992 272224 273728 276367 283808 285478 294784 297626 301184 302848 312221 315848 324352 336238 340144 343538 345436 356824 369964 372008 384272 388736 389207 394784 416843 422816 425152 428246 439168 442364 443402 444808 457856 461188 476392 479024 489424 508352 513253 527072 529984 544448 547456 549697 552734 567616 570956 579839 589568 595252 602368 604513 621011 624442 631696 647437 672476 680288 687076 690872 713648 739928 744016 768544 774137 777472 778414 789568 833686 845632 850304 856492 878336 884728 886804 889616 915712 922376 952784 958048 978848 999173 1016704 1026506 1054144 1059968 1088896 1094912 1099394 1105468 1135232 1141912 1159678 1190504 1202383 1209026 1242022 1248884 1263392 1294874 1344952 1360576 1374152 1381744 1427296 1437683 1479856 1488032 1498861 1537088 1548274 1551907 1556828 1579136 1667372 1691264 1700608 1712984 1769456 1773608 1779232 1844752 1855607 1905568 1916096 1934569 1957696 1998346 2033408 2053012 2108288 2119936 2177792 2185547 2198788 2210936 2232997 2270464 2283824 2319356 2381008 2404766 2418052 2484044 2497768 2526784 2589748 2689904 2721152 2748304 2763488 2854592 2875366 2882113 2959712 2976064 2997722 3074176 3096548 3103814 3113656 3158272 3334744 3382528 3425968 3538912 3547216 3558464 3592771 3689504 3711214 3811136 3832192 3847879 3869138 3915392 3996692 4058873 4106024 4216576 4347077 4371094 4397576 4421872 4465994 4567648 4638712 4762016 4809532 4836104 4968088 4995536 5053568 5179496 5379808 5418959 5442304 5496608 5526976 5709184 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189885132892 196145082328 197228756816 204491681576 211233165584 212400199648 213945920279 217011580448 225404293504 233704778944 234995965568 241409332096 242743085312 244509623176 251682069632 263318055728 279439569344 291330614848 300934920832 302597544704 318735758783 324083760896 329125893824 332298982561 343253894074 345150324428 369658039772 379770265784 392290164656 394457513632 408983363152 422466331168 424800399296 427891840558 434023160896 450808587008 467409557888 469991931136 482818664192 489019246352 503364139264 526636111456 558879138688 582661229696 601869841664 637471517566 658251787648 664597965122 686507788148 690300648856 739316079544 759540531568 784580329312 788915027264 817966726304 844932662336 849600798592 855783681116 868046321792 934819115776 978038492704 1053272222912 1117758277376 1165322459392 1201388629259 1274943035132 1316503575296 1329195930244 1373015576296 1380601297712 1478632159088 1519081063136 1569160658624 1577830054528 1635933452608 1689865324672 1699201597184 1711567362232 1736092643584 1956076985408 2106544445824 2231150311481 2402777258518 2549886070264 2658391860488 2746031152592 2761202595424 2957264318176 3038162126272 3138321317248 3155660109056 3271866905216 3379730649344 3423134724464 3912153970816 4213088891648 4462300622962 4805554517036 5099772140528 5316783720976 5492062305184 5522405190848 5914528636352 6076324252544 6276642634496 6543733810432 6846269448928 7824307941632 8924601245924 9611109034072 10199544281056 10633567441952 10984124610368 11044810381696 11829057272704 12152648505088 13692538897856 15618052180367 17849202491848 19222218068144 20399088562112 21267134883904 21968249220736 22089620763392 23658114545408 27385077795712 31236104360734 35698404983696 38444436136288 40798177124224 42534269767808 43936498441472 54770155591424 62472208721468 71396809967392 76888872272576 81596354248448 85068539535616 124944417442936 142793619934784 153777744545152 249888834885872 285587239869568 307555489090304 499777669771744 571174479739136 999555339543488 1999110679086976 3998221358173952
- Sum of all divisors σ(n): 10468367492349312
- Sum of proper divisors (its aliquot sum) s(n): 6470146134175360
- 3998221358173952 is an abundant number, because the sum of its proper divisors (6470146134175360) is greater than itself. Its abundance is 2471924776001408
Bases of 3998221358173952
- Binary: 11100011010001011100011100111100100110001111000000002
- Hexadecimal: 0xE345C73C98F00
- Base-36: 13D91J9N20W
Squares and roots of 3998221358173952
- 3998221358173952 squared (39982213581739522) is 15985774028958361367363891298304
- 3998221358173952 cubed (39982213581739523) is 63914663149523788275561759223445085595954577408
-
The
square root of 3998221358173952 is 63231490.2416031311 -
The
cube root of 3998221358173952 is 158716.5732260151
Scales and comparisons
How big is 3998221358173952?- 3,998,221,358,173,952 seconds is equal to 127,131,071 years, 45 weeks, 5 days, 1 hour, 12 minutes, 32 seconds.
-
To count from 1 to 3,998,221,358,173,952 would take you about three hundred eighty-one million, three hundred ninety-three thousand, two hundred fifteen 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 3998221358173952 cubic inches would be around 13226.4 feet tall.
Recreational maths with 3998221358173952
- 3998221358173952 backwards is 2593718531228993
- The number of decimal digits it has is: 16
- The sum of 3998221358173952's digits is 77
- More coming soon!
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"Number 3998221358173952 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 3998221358173952 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/3998221358173952/
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The information we have on file for 3998221358173952 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 3998221358173952, math, Factors of 3998221358173952, curriculum, school, college, exams, university, Prime factorization of 3998221358173952, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, nine hundred ninety-eight trillion, two hundred twenty-one billion, three hundred fifty-eight million, one hundred seventy-three thousand, nine hundred fifty-two.