12138461377923972
12,138,461,377,923,972 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12138461377923972 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12138461377923972 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12138461377923972:
22 × 3 × 7 × 132 × 192 × 313 × 433
(2 × 2 × 3 × 7 × 13 × 13 × 19 × 19 × 31 × 31 × 31 × 43 × 43 × 43)See below for interesting mathematical facts about the number 12138461377923972 from the Numbermatics database.
Names of 12138461377923972
- Cardinal: 12138461377923972 can be written as Twelve quadrillion, one hundred thirty-eight trillion, four hundred sixty-one billion, three hundred seventy-seven million, nine hundred twenty-three thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.2138461377923972 × 1016
Factors of 12138461377923972
Divisors of 12138461377923972
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 12 13 14 19 21 26 28 31 38 39 42 43 52 57 62 76 78 84 86 91 93 114 124 129 133 156 169 172 182 186 217 228 247 258 266 273 301 338 361 364 372 399 403 434 494 507 516 532 546 559 589 602 651 676 722 741 798 806 817 868 903 961 988 1014 1083 1092 1118 1178 1183 1204 1209 1302 1333 1444 1482 1596 1612 1634 1677 1729 1767 1806 1849 1922 2028 2166 2236 2356 2366 2418 2451 2527 2604 2666 2821 2883 2964 3211 3268 3354 3458 3534 3549 3612 3698 3844 3913 3999 4123 4332 4693 4732 4836 4902 5054 5187 5239 5332 5547 5642 5719 5766 6422 6708 6727 6916 7068 7098 7267 7396 7581 7657 7826 7998 8246 8463 9331 9386 9633 9804 10108 10374 10478 10621 11094 11191 11284 11438 11532 11739 12369 12493 12844 12943 13454 14079 14196 14534 15162 15314 15523 15652 15717 15996 16492 16926 17157 17329 18259 18662 18772 19266 20181 20748 20956 21242 21801 22188 22382 22477 22876 22971 23478 24037 24738 24986 25327 25886 26908 27993 28158 29068 29791 30324 30628 31046 31434 31863 32851 33573 33852 34314 34658 35131 36518 36673 37324 37479 38532 38829 40362 41323 42484 43602 44764 44954 45942 46569 46956 48074 49476 49972 50654 50869 51772 51987 53599 54777 55986 56316 57319 59582 61009 62092 62868 63726 65702 67146 67431 68628 69316 70262 72111 73036 73346 74347 74958 75981 77658 78337 79507 80724 82646 87204 87451 89373 89908 91884 93138 96148 98553 99541 101308 101738 103974 105393 107198 108661 109554 110019 111972 114638 119164 121303 122018 123969 127452 127813 131404 134292 134862 138073 140524 144222 145483 146692 148694 149916 151962 152607 155316 156674 159014 160797 162409 165292 168259 171957 174902 177289 178746 183027 186276 197106 199082 201799 203476 207948 208537 210786 214396 217322 219108 220038 223041 225277 229276 235011 237367 238521 242606 244036 245917 247938 255626 262353 269724 276146 288444 289261 290966 297388 298623 303924 305214 312481 313348 318028 321594 324818 325983 329251 336518 343914 346921 349804 354578 357492 363909 366054 383439 387283 394212 398164 401233 403598 414219 417074 421572 427063 434644 436449 440076 446082 450554 456703 470022 474734 477042 481213 485212 487227 491834 495876 504777 511252 524706 531867 537199 552292 556549 566029 578522 581932 597246 605397 610428 624962 625611 643188 649636 651966 658502 667489 673036 675831 687828 693842 696787 709156 712101 727818 732108 737751 745147 766878 774566 785137 802466 807196 828438 834148 854126 867783 872898 892164 901108 913406 937443 940044 949468 954084 962426 966511 974454 983668 987753 1009554 1018381 1033591 1040763 1049412 1063734 1074398 1089061 1113098 1132058 1136863 1157044 1161849 1194492 1203699 1210794 1249924 1251222 1281013 1281189 1303932 1317004 1334978 1351662 1370109 1387684 1393574 1412593 1424202 1443639 1455636 1475502 1490294 1510633 1533756 1549132 1570274 1576939 1604932 1611597 1656876 1661569 1669647 1698087 1708252 1735566 1745796 1776889 1826812 1874886 1891279 1924852 1933022 1948908 1975506 2002467 2019108 2036762 2067182 2081526 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4210357744684 4302893079732 4553061282042 4661467503043 4803506679036 4952452622572 5020041926354 5130372518142 5152148292837 5428649990127 5604091125542 5985434604499 6315536617026 6564879057828 6721185702062 6869531057116 7020509761668 7238199986836 7428678933858 7530062889531 7605552241807 8190594721946 8406136688313 9106122564084 9322935006086 10040083852708 10081778553093 10260745036284 10304296585674 10857299980254 11115807122641 11208182251084 11970869208998 12285892082919 12631073234052 13442371404124 13984402509129 14857357867716 15060125779062 15211104483614 16381189443892 16812273376626 17956303813497 18645870012172 20163557106186 20608593171348 21714599960508 22231614245282 22816656725421 23524149957217 23941738417996 24571784165838 27968805018258 30120251558124 30422208967228 32630272521301 33347421367923 33624546753252 35912607626994 40327114212372 44463228490564 45633313450842 47048299914434 49143568331676 53238865692649 55937610036516 65260545042602 66694842735846 70572449871651 71825215253988 77810649858487 91266626901684 94096599828868 97890817563903 106477731385298 130521090085204 133389685471692 141144899743302 144505492594333 155621299716974 159716597077947 195781635127806 212955462770596 233431949575461 282289799486604 289010985188666 311242599433948 319433194155894 391563270255612 433516477782999 466863899150922 578021970377332 638866388311788 867032955565998 933727798301844 1011538448160331 1734065911131996 2023076896320662 3034615344480993 4046153792641324 6069230688961986 12138461377923972
- Sum of all divisors σ(n): 39135738997555200
- Sum of proper divisors (its aliquot sum) s(n): 26997277619631228
- 12138461377923972 is an abundant number, because the sum of its proper divisors (26997277619631228) is greater than itself. Its abundance is 14858816241707256
Bases of 12138461377923972
- Binary: 1010110001111111011101110001101000110100001011100001002
- Hexadecimal: 0x2B1FDDC68D0B84
- Base-36: 3BIQ46AMPAC
Squares and roots of 12138461377923972
- 12138461377923972 squared (121384613779239722) is 147342244623351933000712612256784
- 12138461377923972 cubed (121384613779239723) is 1788508145697183459456569489594283824003693226048
-
The
square root of 12138461377923972 is 110174685.7400735771 -
The
cube root of 12138461377923972 is 229820.0317305233
Scales and comparisons
How big is 12138461377923972?- 12,138,461,377,923,972 seconds is equal to 385,965,525 years, 4 weeks, 5 days, 9 hours, 6 minutes, 12 seconds.
-
To count from 1 to 12,138,461,377,923,972 would take you about one billion, one hundred fifty-seven million, eight hundred ninety-six thousand, five hundred seventy-five 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 12138461377923972 cubic inches would be around 19151.7 feet tall.
Recreational maths with 12138461377923972
- 12138461377923972 backwards is 27932977316483121
- The number of decimal digits it has is: 17
- The sum of 12138461377923972's digits is 75
- More coming soon!
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"Number 12138461377923972 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 12138461377923972 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/12138461377923972/
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Numbermatics. 2024. "Number 12138461377923972 - Facts about the integer". https://numbermatics.com/n/12138461377923972/
The information we have on file for 12138461377923972 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!
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