3998378205489694455
3,998,378,205,489,694,455 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 3998378205489694455 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
3998378205489694455 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3998378205489694455:
32 × 5 × 11 × 132 × 29 × 73 × 22577253533
(3 × 3 × 5 × 11 × 13 × 13 × 29 × 73 × 22577253533)See below for interesting mathematical facts about the number 3998378205489694455 from the Numbermatics database.
Names of 3998378205489694455
- Cardinal: 3998378205489694455 can be written as Three quintillion, nine hundred ninety-eight quadrillion, three hundred seventy-eight trillion, two hundred five billion, four hundred eighty-nine million, six hundred ninety-four thousand, four hundred fifty-five.
Scientific notation
- Scientific notation: 3.998378205489694455 × 1018
Factors of 3998378205489694455
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 22577253667
Divisors of 3998378205489694455
- Number of divisors d(n): 288
-
Complete list of divisors:
1 3 5 9 11 13 15 29 33 39 45 55 65 73 87 99 117 143 145 165 169 195 219 261 319 365 377 429 435 495 507 585 657 715 803 845 949 957 1095 1131 1287 1305 1521 1595 1859 1885 2117 2145 2409 2535 2847 2871 3285 3393 4015 4147 4745 4785 4901 5577 5655 6351 6435 7227 7605 8541 9295 10439 10585 12045 12337 12441 14235 14355 14703 16731 16965 19053 20735 23287 24505 27521 27885 31317 31755 36135 37011 37323 42705 44109 52195 53911 61685 62205 69861 73515 82563 83655 93951 95265 111033 116435 135707 137605 156585 161733 185055 186615 209583 220545 247689 269555 302731 349305 357773 407121 412815 469755 485199 555165 678535 808665 908193 1047915 1073319 1221363 1238445 1513655 1788865 2035605 2425995 2724579 3219957 3935503 4540965 5366595 6106815 11806509 13622895 16099785 19677515 35419527 59032545 177097635 22577253533 67731760599 112886267665 203195281797 248349788863 293504295929 338658802995 654740352457 745049366589 880512887787 1015976408985 1241748944315 1467521479645 1648139507909 1964221057371 2235148099767 2641538663361 3228547255219 3273701762285 3725246832945 3815555847077 4402564438935 4944418523727 5892663172113 7202143877027 8240697539545 8511624581941 9685641765657 9821105286855 11175740498835 11446667541231 13207693316805 14833255571181 16142736276095 18129534586999 19077779235385 21425813602817 21606431631081 24722092618635 25534873745823 29056925296971 29463315860565 34340002623693 36010719385135 41971114317847 42558122909705 47796045729361 48428208828285 54388603760997 57233337706155 64277440808451 64819294893243 74166277855905 76604621237469 90647672934995 93627870401351 107129068014085 108032158155405 110651119565233 125913342953541 127674368729115 143388137188083 145284626484855 163165811282991 171700013118465 192832322425353 209855571589235 235683949630987 238980228646805 271943018804985 278535576836621 280883611204053 321387204042255 324096474466215 331953358695699 377740028860623 383023106187345 430164411564249 468139352006755 525756503022971 553255597826165 621348594481693 629566714767705 707051848892961 716940685940415 815829056414955 835606730509863 842650833612159 964161612126765 995860076087097 1178419748154935 1217162315217563 1392677884183105 1404418056020265 1577269509068913 1659766793478495 1864045783445079 1888700144303115 2121155546678883 2150822057821245 2506820191529589 2628782515114855 3063891345202831 3106742972408465 3535259244464805 3651486945652689 4178033652549315 4213254168060795 4731808527206739 4979300380435485 5592137350335237 6085811576087815 6834834539298623 7886347545344565 8077531728262009 9191674035608493 9320228917225395 10605777733394415 10954460836958067 12534100957647945 15319456726014155 18257434728263445 20504503617895869 23659042636033695 24232595184786027 27575022106825479 27960686751676185 34174172696493115 40387658641310045 45958370178042465 54772304184790335 61513510853687607 72697785554358081 88852849010882099 102522518089479345 121162975923930135 137875110534127395 266558547032646297 307567554268438035 363488927771790405 444264245054410495 799675641097938891 1332792735163231485 3998378205489694455
- Sum of all divisors σ(n): 8585211979396578240
- Sum of proper divisors (its aliquot sum) s(n): 4586833773906883785
- 3998378205489694455 is an abundant number, because the sum of its proper divisors (4586833773906883785) is greater than itself. Its abundance is 588455568417189330
Bases of 3998378205489694455
- Binary: 110111011111010001011111001011001001111110000010000110111101112
- Hexadecimal: 0x377D17CB27E086F7
- Base-36: UDLMS5VMKE7R
Squares and roots of 3998378205489694455
- 3998378205489694455 squared (39983782054896944552) is 15987028274134989297202507209257747025
- 3998378205489694455 cubed (39983782054896944553) is 63922185421848865531614896477175964724634633508935246375
-
The
square root of 3998378205489694455 is 1999594510.2669427101 -
The
cube root of 3998378205489694455 is 1587186.4864411755
Scales and comparisons
How big is 3998378205489694455?- 3,998,378,205,489,694,455 seconds is equal to 127,136,059,138 years, 38 weeks, 3 days, 2 hours, 14 minutes, 15 seconds.
-
To count from 1 to 3,998,378,205,489,694,455 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 3998378205489694455 cubic inches would be around 132265.5 feet tall.
Recreational maths with 3998378205489694455
- 3998378205489694455 backwards is 5544969845028738993
- The number of decimal digits it has is: 19
- The sum of 3998378205489694455's digits is 108
- More coming soon!
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