138145610107008
138,145,610,107,008 is an even composite number composed of six prime numbers multiplied together.
138145610107008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138145610107008:
27 × 32 × 7 × 127 × 1481 × 91081
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 127 × 1481 × 91081)See below for interesting mathematical facts about the number 138145610107008 from the Numbermatics database.
Names of 138145610107008
- Cardinal: 138145610107008 can be written as One hundred thirty-eight trillion, one hundred forty-five billion, six hundred ten million, one hundred seven thousand and eight.
Scientific notation
- Scientific notation: 1.38145610107008 × 1014
Factors of 138145610107008
Divisors of 138145610107008
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 127 128 144 168 192 224 252 254 288 336 381 384 448 504 508 576 672 762 889 896 1008 1016 1143 1152 1344 1481 1524 1778 2016 2032 2286 2667 2688 2962 3048 3556 4032 4064 4443 4572 5334 5924 6096 7112 8001 8064 8128 8886 9144 10367 10668 11848 12192 13329 14224 16002 16256 17772 18288 20734 21336 23696 24384 26658 28448 31101 32004 35544 36576 41468 42672 47392 48768 53316 56896 62202 64008 71088 73152 82936 85344 91081 93303 94784 106632 113792 124404 128016 142176 146304 165872 170688 182162 186606 188087 189568 213264 248808 256032 273243 284352 331744 341376 364324 373212 376174 426528 497616 512064 546486 564261 568704 637567 663488 728648 746424 752348 819729 853056 995232 1024128 1092972 1128522 1275134 1316609 1326976 1457296 1492848 1504696 1639458 1692783 1706112 1912701 1990464 2185944 2257044 2550268 2633218 2914592 2985696 3009392 3278916 3385566 3825402 3949827 3980928 4371888 4514088 5100536 5266436 5738103 5829184 5971392 6018784 6557832 6771132 7650804 7899654 8743776 9028176 10201072 10532872 11476206 11567287 11658368 11849481 11942784 12037568 13115664 13542264 15301608 15799308 17487552 18056352 20402144 21065744 22952412 23134574 23698962 24075136 26231328 27084528 30603216 31598616 34701861 34975104 36112704 40804288 42131488 45904824 46269148 47397924 52462656 54169056 61206432 63197232 69403722 72225408 80971009 81608576 84262976 91809648 92538296 94795848 104105583 104925312 108338112 122412864 126394464 134890961 138807444 161942018 168525952 183619296 185076592 189591696 208211166 216676224 242913027 244825728 252788928 269781922 277614888 323884036 367238592 370153184 379183392 404672883 416422332 485826054 505577856 539563844 555229776 647768072 728739081 734477184 740306368 758366784 809345766 832844664 944236727 971652108 1079127688 1110459552 1214018649 1295536144 1457478162 1480612736 1516733568 1618691532 1665689328 1888473454 1943304216 2158255376 2220919104 2428037298 2591072288 2832710181 2914956324 3237383064 3331378656 3776946908 3886608432 4316510752 4441838208 4856074596 5182144576 5665420362 5829912648 6474766128 6662757312 7553893816 7773216864 8498130543 8633021504 9712149192 10364289152 11330840724 11659825296 12949532256 13325514624 15107787632 15546433728 16996261086 17131152047 17266043008 19424298384 22661681448 23319650592 25899064512 30215575264 31092867456 33992522172 34262304094 38848596768 45323362896 46639301184 51393456141 51798129024 60431150528 67985044344 68524608188 77697193536 90646725792 93278602368 102786912282 119918064329 120862301056 135970088688 137049216376 154180368423 155394387072 181293451584 205573824564 239836128658 271940177376 274098432752 308360736846 359754192987 362586903168 411147649128 479672257316 543880354752 548196865504 616721473692 719508385974 822295298256 959344514632 1079262578961 1087760709504 1096393731008 1233442947384 1439016771948 1644590596512 1918689029264 2158525157922 2192787462016 2466885894768 2878033543896 3289181193024 3837378058528 4317050315844 4933771789536 5756067087792 6578362386048 7674756117056 8634100631688 9867543579072 11512134175584 15349512234112 17268201263376 19735087158144 23024268351168 34536402526752 46048536702336 69072805053504 138145610107008
- Sum of all divisors σ(n): 458209671229440
- Sum of proper divisors (its aliquot sum) s(n): 320064061122432
- 138145610107008 is an abundant number, because the sum of its proper divisors (320064061122432) is greater than itself. Its abundance is 181918451015424
Bases of 138145610107008
- Binary: 111110110100100100010000000010010001000100000002
- Hexadecimal: 0x7DA488048880
- Base-36: 1CYV7TFZ40
Squares and roots of 138145610107008
- 138145610107008 squared (1381456101070082) is 19084209591837470881210712064
- 138145610107008 cubed (1381456101070083) is 2636399777474401535745435440672234916544512
-
The
square root of 138145610107008 is 11753536.0682225331 -
The
cube root of 138145610107008 is 51694.6615444891
Scales and comparisons
How big is 138145610107008?- 138,145,610,107,008 seconds is equal to 4,392,603 years, 4 weeks, 4 days, 9 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,145,610,107,008 would take you about ten million, nine hundred eighty-one thousand, five hundred seven 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 138145610107008 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138145610107008
- 138145610107008 backwards is 800701016541831
- The number of decimal digits it has is: 15
- The sum of 138145610107008's digits is 45
- More coming soon!
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