138189510993711840

Names of 138189510993711840

• Cardinal: 138189510993711840 can be written as One hundred thirty-eight quadrillion, one hundred eighty-nine trillion, five hundred ten billion, nine hundred ninety-three million, seven hundred eleven thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.3818951099371184 × 10¹⁷

Factors of 138189510993711840

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1056018474

Divisors of 138189510993711840

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 67 78 80 96 104 120 130 134 156 160 195 201 208 240 260 268 312 313 335 390 402 416 480 520 536 624 626 670 780 804 871 939 1005 1040 1072 1248 1252 1340 1560 1565 1608 1742 1878 2010 2080 2144 2504 2613 2680 3120 3130 3216 3484 3756 4020 4069 4355 4695 5008 5226 5360 6240 6260 6432 6968 7512 8040 8138 8710 9390 10016 10452 10720 12207 12520 13065 13936 15024 16080 16276 17420 18780 20345 20904 20971 24414 25040 26130 27872 30048 32160 32552 34840 37560 40690 41808 41942 48828 50080 52260 61035 62913 65104 69680 75120 81380 83616 83884 97656 104520 104855 122070 125826 130208 139360 150240 162760 167768 195312 209040 209710 244140 251652 272623 314565 325520 335536 390624 418080 419420 488280 503304 545246 629130 651040 671072 817869 838840 976560 1006608 1090492 1258260 1363115 1635738 1677680 1953120 2013216 2180984 2516520 2726230 3271476 3355360 4089345 4361968 5033040 5452460 6542952 8178690 8723936 10066080 10904920 13085904 16357380 21809840 26171808 32714760 43619680 65429520 130859040 1056018071 2112036142 3168054213 4224072284 5280090355 6336108426 8448144568 10560180710 12672216852 13728234923 15840271065 16896289136 21120361420 25344433704 27456469846 31680542130 33792578272 41184704769 42240722840 50688867408 54912939692 63361084260 68641174615 70753210757 82369409538 84481445680 101377734816 109825879384 126722168520 137282349230 141506421514 164738819076 168962891360 205923523845 212259632271 219651758768 253444337040 274564698460 283012843028 329477638152 330533656223 353766053785 411847047690 424519264542 439303517536 506888674080 549129396920 566025686056 658955276304 661067312446 707532107570 823694095380 849038529084 919791739841 991600968669 1061298161355 1098258793840 1132051372112 1317910552608 1322134624892 1415064215140 1647388190760 1652668281115 1698077058168 1839583479682 1983201937338 2122596322710 2196517587680 2264102744224 2644269249784 2759375219523 2830128430280 3294776381520 3305336562230 3396154116336 3679166959364 3966403874676 4245192645420 4296937530899 4598958699205 4958004843345 5288538499568 5518750439046 5660256860560 6589552763040 6610673124460 6792308232672 7358333918728 7932807749352 8490385290840 8593875061798 9197917398410 9916009686690 10577076999136 11037500878092 11320513721120 12890812592697 13221346248920 13796876097615 14716667837456 15865615498704 16980770581680 17187750123596 18395834796820 19832019373380 21484687654495 22075001756184 22145754966941 25781625185394 26442692497840 27593752195230 29433335674912 31731230997408 33961541163360 34375500247192 36791669593640 39664038746760 42969375308990 44150003512368 44291509933882 51563250370788 52885384995680 55187504390460 64454062963485 66437264900823 68751000494384 73583339187280 79328077493520 85938750617980 88300007024736 88583019867764 103126500741576 110375008780920 110728774834705 128908125926970 132874529801646 137502000988768 147166678374560 158656154987040 171877501235960 177166039735528 206253001483152 220750017561840 221457549669410 257816251853940 265749059603292 287894814570233 332186324504115 343755002471920 354332079471056 412506002966304 441500035123680 442915099338820 515632503707880 531498119206584 575789629140466 664372649008230 687510004943840 708664158942112 863684443710699 885830198677640 1031265007415760 1062996238413168 1151579258280932 1328745298016460 1439474072851165 1727368887421398 1771660397355280 2062530014831520 2125992476826336 2303158516561864 2657490596032920 2878948145702330 3454737774842796 3543320794710560 4318422218553495 4606317033123728 5314981192065840 5757896291404660 6909475549685592 8636844437106990 9212634066247456 10629962384131680 11515792582809320 13818951099371184 17273688874213980 23031585165618640 27637902198742368 34547377748427960 46063170331237280 69094755496855920 138189510993711840
• Sum of all divisors σ(n): 477298135782945792
• Sum of proper divisors (its aliquot sum) s(n): 339108624789233952
• 138189510993711840 is an abundant number, because the sum of its proper divisors (339108624789233952) is greater than itself. Its abundance is 200919113795522112

Bases of 138189510993711840

• Binary: 111101010111100101010000011001010011101110001001011100000₂
• Hexadecimal: 0x1EAF2A0CA7712E0
• Base-36: 11SO3CYA7QAO

Squares and roots of 138189510993711840

• 138189510993711840 squared (138189510993711840²) is 19096340948681205489060020956185600
• 138189510993711840 cubed (138189510993711840³) is 2638914017467451034123860936476952827865751957504000
• The square root of 138189510993711840 is 371738498.1323724023
• The cube root of 138189510993711840 is 517001.3692929173

Scales and comparisons

• 138,189,510,993,711,840 seconds is equal to 4,393,999,001 years, 19 weeks, 4 days, 7 hours, 4 minutes.
• To count from 1 to 138,189,510,993,711,840 would take you about thirteen billion, one hundred eighty-one million, nine hundred ninety-seven thousand and four 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 138189510993711840 cubic inches would be around 43083.4 feet tall.

Recreational maths with 138189510993711840

• 138189510993711840 backwards is 048117399015981831
• 138189510993711840 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138189510993711840's digits is 78
• More coming soon!