138445729749835101
138,445,729,749,835,101 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138445729749835101 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138445729749835101 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138445729749835101:
39 × 113 × 172 × 192 × 373
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 17 × 17 × 19 × 19 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138445729749835101 from the Numbermatics database.
Names of 138445729749835101
- Cardinal: 138445729749835101 can be written as One hundred thirty-eight quadrillion, four hundred forty-five trillion, seven hundred twenty-nine billion, seven hundred forty-nine million, eight hundred thirty-five thousand, one hundred one.
Scientific notation
- Scientific notation: 1.38445729749835101 × 1017
Factors of 138445729749835101
Divisors of 138445729749835101
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 3 9 11 17 19 27 33 37 51 57 81 99 111 121 153 171 187 209 243 289 297 323 333 361 363 407 459 513 561 627 629 703 729 867 891 969 999 1083 1089 1221 1331 1369 1377 1539 1683 1881 1887 2057 2109 2187 2299 2601 2673 2907 2997 3179 3249 3267 3553 3663 3971 3993 4107 4131 4477 4617 5049 5491 5643 5661 6137 6171 6327 6561 6897 6919 7733 7803 8019 8721 8991 9537 9747 9801 10659 10693 10989 11913 11951 11979 12321 12393 13357 13431 13851 15059 15147 16473 16929 16983 18411 18513 18981 19683 20691 20757 22627 23199 23273 23409 24057 25289 26011 26163 26973 28611 29241 29403 31977 32079 32967 34969 35739 35853 35937 36963 37179 39083 40071 40293 41553 43681 45177 45441 49247 49419 50653 50787 50949 55233 55539 56943 60401 62073 62271 67507 67881 69597 69819 70227 72171 75867 76109 78033 78489 80919 85063 85833 87723 88209 95931 96237 98901 104329 104907 107217 107559 107811 110889 111537 117249 117623 120213 120879 124659 131043 131461 135531 136323 146927 147741 148257 151959 152361 152847 165649 165699 166617 170829 181203 186219 186813 202521 203167 203643 208791 209457 210681 216513 227069 227601 228327 234099 235467 242757 255189 256003 257499 263169 264627 286121 287793 288711 296703 312987 314721 321651 322677 323433 332667 334611 351747 352869 360639 362637 373977 384659 393129 394383 395641 406593 408969 429913 440781 442187 443223 444771 455877 457083 458541 480491 494209 496947 497097 499851 512487 543609 557183 558657 560439 607563 609501 610929 626373 628371 632043 664411 681207 682803 684981 702297 706401 728271 742577 765567 768009 772497 789507 793881 837199 858363 861101 863379 866133 890109 935693 938961 944163 962407 964953 968031 970299 998001 1055241 1058607 1081917 1087911 1147619 1153977 1179387 1183149 1186923 1219779 1226907 1289739 1293853 1322343 1326561 1329669 1334313 1367631 1371249 1375623 1441473 1446071 1482627 1490841 1491291 1499553 1537461 1616197 1630827 1671549 1675971 1681317 1822139 1822689 1828503 1832787 1879119 1885113 1896129 1993233 2043621 2048409 2054943 2106891 2119203 2227731 2234837 2296701 2304027 2317491 2368521 2381643 2497759 2511597 2575089 2583303 2590137 2598399 2670327 2807079 2816033 2816883 2832489 2887221 2894859 2904093 2910897 2994003 3147331 3165723 3175821 3245751 3263733 3442857 3461931 3538161 3549447 3560769 3659337 3680721 3860173 3869217 3881559 3967029 3979683 3989007 4002939 4102893 4113747 4126869 4324419 4338213 4352051 4447881 4472523 4473873 4498659 4612383 4848591 4864057 4892481 5014647 5027913 5043951 5436299 5466417 5468067 5485509 5498361 5637357 5655339 5688387 5979699 6129013 6130863 6145227 6164829 6320673 6357609 6683193 6704511 6890103 6912081 6952473 7105563 7308521 7493277 7517179 7534791 7725267 7749909 7770411 7795197 8010981 8168347 8401553 8421237 8448099 8450649 8497467 8661663 8684577 8712279 8732691 8982009 9441993 9472111 9497169 9527463 9737253 9791199 10328571 10385793 10586477 10614483 10648341 10682307 10978011 11580519 11607651 11644677 11901087 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8404402947237 9140141925783 9193554004239 9995359883751 10307924186571 10365031799793 11171284575957 11236566005181 11557369542519 11584447305651 11621399290677 12598574005809 12947323459257 12988622736639 14125673885301 14203932466383 14516695999773 15398257118211 15874983344781 17264712526479 17742628444167 17903236745097 20009499891579 20073326047533 21101315310141 21881733799563 22434893817831 22559186858373 24456055423041 24534065169207 25213208841711 27420425777349 29986079651253 30923772559713 33513853727871 33709698015543 34672108627557 34864197872031 37795722017427 38965868209917 42377021655903 42611797399149 43550087999319 46194771354633 47624950034343 51794137579437 53227885332501 60219978142599 63303945930423 65645201398689 67304681453493 73368166269123 73602195507621 82261277332047 89958238953759 100541561183613 101129094046629 104016325882671 113387166052281 127131064967709 127835392197447 138584314063899 142874850103029 155382412738311 159683655997503 189911837791269 196935604196067 220104498807369 220806586522863 246783831996141 269874716861277 301624683550839 340161498156843 381393194903127 383506176592341 415752942191697 428624550309087 466147238214933 479050967992509 569735513373807 662419759568589 740351495988423 809624150583831 904874050652517 1144179584709381 1247258826575091 1398441714644799 1709206540121421 2428872451751493 2714622151957551 3741776479725273 4195325143934397 5127619620364263 7286617355254479 8143866455872653 12585975431803191 15382858861092789 46148576583278367 138445729749835101
- Sum of all divisors σ(n): 263198729355534720
- Sum of proper divisors (its aliquot sum) s(n): 124752999605699619
- 138445729749835101 is a deficient number, because the sum of its proper divisors (124752999605699619) is less than itself. Its deficiency is 13692730144135482
Bases of 138445729749835101
- Binary: 1111010111101101110101000010111100110100010011101010111012
- Hexadecimal: 0x1EBDBA85E689D5D
- Base-36: 11V6WY828KT9
Squares and roots of 138445729749835101
- 138445729749835101 squared (1384457297498351012) is 19167220085964375937719936691680201
- 138445729749835101 cubed (1384457297498351013) is 2653619772077035103776021746775712101231158376535301
-
The
square root of 138445729749835101 is 372082960.8431903201 -
The
cube root of 138445729749835101 is 517320.6980718279
Scales and comparisons
How big is 138445729749835101?- 138,445,729,749,835,101 seconds is equal to 4,402,145,965 years, 14 weeks, 5 days, 19 hours, 58 minutes, 21 seconds.
-
To count from 1 to 138,445,729,749,835,101 would take you about thirteen billion, two hundred six million, four hundred thirty-seven thousand, eight hundred ninety-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 138445729749835101 cubic inches would be around 43110.1 feet tall.
Recreational maths with 138445729749835101
- 138445729749835101 backwards is 101538947927544831
- 138445729749835101 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138445729749835101's digits is 81
- More coming soon!
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"Number 138445729749835101 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138445729749835101 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138445729749835101/
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The information we have on file for 138445729749835101 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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