138128827921875
138,128,827,921,875 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138128827921875 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
138128827921875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138128827921875:
35 × 56 × 73 × 172 × 367
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 367)See below for interesting mathematical facts about the number 138128827921875 from the Numbermatics database.
Names of 138128827921875
- Cardinal: 138128827921875 can be written as One hundred thirty-eight trillion, one hundred twenty-eight billion, eight hundred twenty-seven million, nine hundred twenty-one thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38128827921875 × 1014
Factors of 138128827921875
Divisors of 138128827921875
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 3 5 7 9 15 17 21 25 27 35 45 49 51 63 75 81 85 105 119 125 135 147 153 175 189 225 243 245 255 289 315 343 357 367 375 405 425 441 459 525 567 595 625 675 735 765 833 867 875 945 1029 1071 1101 1125 1215 1225 1275 1323 1377 1445 1575 1701 1715 1785 1835 1875 2023 2025 2125 2205 2295 2499 2569 2601 2625 2835 2975 3087 3125 3213 3303 3375 3675 3825 3969 4131 4165 4335 4375 4725 5145 5355 5505 5625 5831 6069 6075 6125 6239 6375 6615 6885 7225 7497 7707 7803 7875 8505 8575 8925 9175 9261 9375 9639 9909 10115 10125 10625 11025 11475 11907 12495 12845 13005 13125 14161 14175 14875 15435 15625 16065 16515 16875 17493 17983 18207 18375 18717 19125 19845 20655 20825 21675 21875 22491 23121 23409 23625 25725 26775 27525 27783 28125 28917 29155 29727 30345 30375 30625 31195 31875 33075 34425 36125 37485 38535 39015 39375 42483 42525 42875 43673 44625 45875 46305 46875 48195 49545 50575 50625 52479 53125 53949 54621 55125 56151 57375 59535 62475 64225 65025 65625 67473 69363 70227 70805 70875 74375 77175 80325 82575 83349 84375 87465 89181 89915 91035 91875 93585 95625 99127 99225 103275 104125 106063 108375 109375 112455 115605 117045 118125 125881 127449 128625 131019 133875 137625 138915 140625 144585 145775 148635 151725 151875 153125 155975 157437 159375 161847 163863 165375 168453 172125 180625 187425 192675 195075 196875 202419 208089 212415 212625 214375 218365 223125 229375 231525 240975 247725 252875 253125 262395 265625 269745 273105 275625 280755 286875 297381 297675 305711 312375 318189 321125 325125 328125 337365 346815 351135 354025 354375 371875 377643 382347 385875 393057 401625 412875 416745 421875 437325 445905 449575 455175 459375 467925 472311 478125 485541 491589 495635 496125 505359 516375 520625 530315 541875 562275 578025 585225 590625 624267 629405 637245 643125 655095 669375 688125 694575 722925 728875 742441 743175 758625 759375 765625 779875 787185 796875 809235 819315 826875 842265 860625 892143 903125 917133 937125 954567 963375 975375 984375 1012095 1040445 1062075 1063125 1071875 1091825 1115625 1132929 1146875 1147041 1157625 1179171 1204875 1238625 1264375 1265625 1311975 1348725 1365525 1378125 1403775 1416933 1434375 1456623 1486905 1488375 1516077 1528555 1561875 1590945 1605625 1625625 1686825 1734075 1755675 1770125 1771875 1859375 1888215 1911735 1929375 1965285 2008125 2064375 2083725 2139977 2186625 2227323 2229525 2247875 2275875 2296875 2339625 2361555 2390625 2427705 2457945 2478175 2480625 2526795 2581875 2603125 2651575 2676429 2709375 2751399 2811375 2863701 2890125 2926125 2953125 3121335 3147025 3186225 3215625 3275475 3346875 3398787 3440625 3441123 3472875 3537513 3614625 3644375 3712205 3715875 3793125 3796875 3899375 3935925 4046175 4096575 4134375 4211325 4303125 4369869 4460715 4515625 4585665 4685625 4772835 4816875 4876875 5060475 5197087 5202225 5310375 5315625 5359375 5459125 5578125 5664645 5734375 5735205 5788125 5895855 6024375 6193125 6321875 6419931 6559875 6681969 6743625 6827625 6890625 7018875 7084665 7171875 7283115 7434525 7441875 7580385 7642775 7809375 7954725 8028125 8029287 8128125 8254197 8434125 8591103 8670375 8778375 8850625 8859375 9441075 9558675 9646875 9826425 10040625 10196361 10321875 10418625 10612539 10699885 10933125 11136615 11147625 11239375 11379375 11698125 11807775 12138525 12289725 12390875 12403125 12633975 12909375 13015625 13257875 13382145 13546875 13756995 14056875 14318505 14450625 14630625 15591261 15606675 15735125 15931125 16078125 16377375 16734375 16993935 17203125 17205615 17364375 17687565 18073125 18221875 18561025 18579375 18965625 19259793 19496875 19679625 20045907 20230875 20482875 20671875 21056625 21515625 21849345 22303575 22928325 23428125 23864175 24084375 24087861 24384375 24762591 25302375 25773309 25985435 26011125 26551875 26578125 27295625 28323225 28676025 28940625 29479275 30121875 30589083 30965625 31609375 32099655 32799375 33409845 33718125 34138125 35094375 35423325 36379609 36415575 37172625 37209375 37901925 38213875 39046875 39773625 40140625 40146435 40640625 41270985 42170625 42955515 43351875 43891875 44253125 46773783 47205375 47793375 48234375 49132125 50203125 50981805 51609375 52093125 53062695 53499425 54665625 55683075 55738125 56196875 56896875 57779379 58490625 59038875 60137721 60692625 61448625 61954375 62015625 63169875 64546875 66289375 66910725 68784975 70284375 71592525 72253125 73153125 74287773 77956305 78033375 78675625 79655625 81886875 84969675 86028075 86821875 88437825 90365625 91109375 92805125 92896875 94828125 96298965 97484375 98398125 100229535 101154375 102414375 105283125 109138827 109246725 111517875 114641625 117140625 119320875 120421875 120439305 121921875 123812955 126511875 128866545 129927175 130055625 132759375 136478125 140321349 141616125 143380125 144703125 147396375 150609375 152945415 154828125 160498275 163996875 167049225 168590625 170690625 173338137 175471875 177116625 180413163 181898045 182077875 185863125 186046875 189509625 191069375 198868125 200732175 206354925 210853125 214777575 216759375 219459375 221265625 233868915 236026875 238966875 245660625 254909025 260465625 265313475 267497125 273328125 278415375 278690625 280984375 284484375 288896895 292453125 295194375 300688605 303463125 307243125 309771875 315849375 327416481 331446875 334553625 343924875 351421875 357962625 361265625 365765625 371438865 389781525 390166875 393378125 398278125 409434375 420964047 424848375 430140375 434109375 442189125 451828125 464025625 464484375 481494825 491990625 501147675 505771875 512071875 520014411 526415625 545694135 546233625 557589375 573208125 596604375 602196525 619064775 632559375 644332725 649635875 650278125 663796875 682390625 701606745 708080625 716900625 736981875 764727075 802491375 819984375 835246125 842953125 853453125 866690685 877359375 885583125 902065815 909490225 910389375 929315625 947548125 955346875 982249443 994340625 1003660875 1031774625 1054265625 1073887875 1083796875 1097296875 1169344575 1180134375 1194834375 1228303125 1262892141 1274545125 1302328125 1326567375 1337485625 1392076875 1393453125 1444484475 1475971875 1503443025 1517315625 1536215625 1548859375 1579246875 1637082405 1657234375 1672768125 1719624375 1789813125 1857194325 1948907625 1950834375 1966890625 1991390625 2047171875 2104820235 2124241875 2150701875 2210945625 2320128125 2407474125 2459953125 2505738375 2528859375 2560359375 2600072055 2632078125 2728470675 2731168125 2787946875 2866040625 2946748329 2983021875 3010982625 3095323875 3162796875 3221663625 3248179375 3251390625 3508033725 3540403125 3584503125 3684909375 3823635375 4012456875 4176230625 4333453425 4427915625 4510329075 4547451125 4551946875 4646578125 4737740625 4776734375 4911247215 4971703125 5018304375 5158873125 5369439375 5846722875 5900671875 5974171875 6141515625 6314460705 6372725625 6632836875 6687428125 6960384375 7222422375 7379859375 7517215125 7586578125 7681078125 7896234375 8185412025 8363840625 8598121875 8840244987 8949065625 9285971625 9744538125 9754171875 10524101175 10621209375 10753509375 11054728125 11600640625 12037370625 12528691875 13000360275 13642353375 13655840625 13939734375 14330203125 14733741645 14915109375 15054913125 15476619375 16108318125 16240896875 17540168625 17702015625 17922515625 18424546875 19118176875 20062284375 20881153125 21667267125 22139578125 22551645375 22737255625 22759734375 23688703125 24556236075 25091521875 25794365625 26847196875 29233614375 31572303525 31863628125 33164184375 33437140625 34801921875 36112111875 37586075625 40927060125 41819203125 42990609375 44201224935 44745328125 46429858125 48722690625 52620505875 53106046875 53767546875 55273640625 60186853125 62643459375 65001801375 68211766875 68279203125 73668708225 75274565625 77383096875 80541590625 81204484375 87700843125 95590884375 100311421875 104405765625 108336335625 112758226875 113686278125 122781180375 125457609375 128971828125 134235984375 146168071875 157861517625 159318140625 165820921875 180560559375 187930378125 204635300625 221006124675 232149290625 243613453125 263102529375 300934265625 313217296875 325009006875 341058834375 368343541125 376372828125 386915484375 402707953125 438504215625 477954421875 541681678125 563791134375 568431390625 613905901875 730840359375 789307588125 902802796875 939651890625 1023176503125 1105030623375 1160746453125 1315512646875 1625045034375 1705294171875 1841717705625 2192521078125 2708408390625 2818955671875 3069529509375 3946537940625 5115882515625 5525153116875 6577563234375 8125225171875 9208588528125 15347647546875 19732689703125 27625765584375 46042942640625 138128827921875
- Sum of all divisors σ(n): 321271387673600
- Sum of proper divisors (its aliquot sum) s(n): 183142559751725
- 138128827921875 is an abundant number, because the sum of its proper divisors (183142559751725) is greater than itself. Its abundance is 45013731829850
Bases of 138128827921875
- Binary: 111110110100000100111111011100010110101110100112
- Hexadecimal: 0x7DA09FB8B5D3
- Base-36: 1CYNI9RI6R
Squares and roots of 138128827921875
- 138128827921875 squared (1381288279218752) is 19079573103070954631103515625
- 138128827921875 cubed (1381288279218753) is 2635439069976922515358082629405975341796875
-
The
square root of 138128827921875 is 11752822.1258502419 -
The
cube root of 138128827921875 is 51692.5681385709
Scales and comparisons
How big is 138128827921875?- 138,128,827,921,875 seconds is equal to 4,392,069 years, 24 weeks, 2 days, 3 hours, 11 minutes, 15 seconds.
-
To count from 1 to 138,128,827,921,875 would take you about ten million, nine hundred eighty thousand, one hundred seventy-three 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 138128827921875 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138128827921875
- 138128827921875 backwards is 578129728821831
- The number of decimal digits it has is: 15
- The sum of 138128827921875's digits is 72
- More coming soon!
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"Number 138128827921875 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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The information we have on file for 138128827921875 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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