40428008112128
40,428,008,112,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 40428008112128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 672 divisors.
40428008112128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 40428008112128:
220 × 7 × 133 × 23 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 13 × 23 × 109)See below for interesting mathematical facts about the number 40428008112128 from the Numbermatics database.
Names of 40428008112128
- Cardinal: 40428008112128 can be written as Forty trillion, four hundred twenty-eight billion, eight million, one hundred twelve thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0428008112128 × 1013
Factors of 40428008112128
Divisors of 40428008112128
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 109 112 128 161 169 182 184 208 218 224 256 299 322 338 364 368 416 436 448 512 598 644 676 728 736 763 832 872 896 1024 1183 1196 1288 1352 1417 1456 1472 1526 1664 1744 1792 2048 2093 2197 2366 2392 2507 2576 2704 2834 2912 2944 3052 3328 3488 3584 3887 4096 4186 4394 4732 4784 5014 5152 5408 5668 5824 5888 6104 6656 6976 7168 7774 8192 8372 8788 9464 9568 9919 10028 10304 10816 11336 11648 11776 12208 13312 13952 14336 15379 15548 16384 16744 17549 17576 18421 18928 19136 19838 20056 20608 21632 22672 23296 23552 24416 26624 27209 27904 28672 30758 31096 32591 32768 33488 35098 35152 36842 37856 38272 39676 40112 41216 43264 45344 46592 47104 48832 50531 53248 54418 55808 57344 61516 62192 65182 65536 66976 70196 70304 73684 75712 76544 79352 80224 82432 86528 90688 93184 94208 97664 101062 106496 108836 111616 114688 123032 124384 128947 130364 131072 133952 140392 140608 147368 151424 153088 158704 160448 164864 173056 181376 186368 188416 195328 202124 212992 217672 223232 228137 229376 239473 246064 248768 257894 260728 262144 267904 280784 281216 294736 302848 306176 317408 320896 329728 346112 353717 362752 372736 376832 390656 404248 423683 425984 435344 446464 456274 458752 478946 492128 497536 515788 521456 524288 535808 561568 562432 589472 605696 612352 634816 641792 659456 692224 707434 725504 745472 753664 781312 808496 847366 851968 870688 892928 912548 917504 957892 984256 995072 1031576 1042912 1048576 1071616 1123136 1124864 1178944 1211392 1224704 1269632 1283584 1318912 1384448 1414868 1451008 1490944 1507328 1562624 1616992 1676311 1694732 1703936 1741376 1785856 1825096 1835008 1915784 1968512 1990144 2063152 2085824 2143232 2246272 2249728 2357888 2422784 2449408 2539264 2567168 2637824 2768896 2829736 2902016 2965781 2981888 3014656 3125248 3233984 3352622 3389464 3407872 3482752 3571712 3650192 3670016 3831568 3937024 3980288 4126304 4171648 4286464 4492544 4499456 4715776 4845568 4898816 5078528 5134336 5275648 5507879 5537792 5659472 5804032 5931562 5963776 6029312 6250496 6467968 6705244 6778928 6815744 6965504 7143424 7300384 7340032 7663136 7874048 7960576 8252608 8343296 8572928 8985088 8998912 9431552 9691136 9797632 10157056 10268672 10551296 11015758 11075584 11318944 11608064 11863124 11927552 12058624 12500992 12935936 13410488 13557856 13631488 13931008 14286848 14600768 15326272 15748096 15921152 16505216 16686592 17145856 17970176 17997824 18863104 19382272 19595264 20314112 20537344 21102592 22031516 22151168 22637888 23216128 23726248 23855104 24117248 25001984 25871872 26820976 27115712 27862016 28573696 29201536 30652544 31496192 31842304 33010432 33373184 34291712 35940352 35995648 37726208 38555153 38764544 39190528 40628224 41074688 42205184 44063032 44302336 45275776 46432256 47452496 47710208 50003968 51743744 53641952 54231424 55724032 57147392 58403072 61305088 62992384 63684608 66020864 66746368 68583424 71880704 71991296 75452416 77110306 77529088 78381056 81256448 82149376 84410368 88126064 88604672 90551552 92864512 94904992 95420416 100007936 103487488 107283904 108462848 111448064 114294784 116806144 122610176 125984768 127369216 132041728 133492736 137166848 143761408 143982592 150904832 154220612 155058176 156762112 162512896 164298752 168820736 176252128 177209344 181103104 185729024 189809984 200015872 206974976 214567808 216925696 222896128 233612288 245220352 251969536 254738432 264083456 266985472 274333696 287522816 287965184 301809664 308441224 310116352 313524224 325025792 328597504 352504256 362206208 371458048 379619968 400031744 413949952 429135616 433851392 445792256 467224576 490440704 503939072 509476864 528166912 533970944 548667392 575045632 575930368 603619328 616882448 620232704 650051584 657195008 705008512 724412416 742916096 759239936 800063488 827899904 858271232 867702784 891584512 934449152 980881408 1007878144 1018953728 1056333824 1067941888 1097334784 1150091264 1151860736 1207238656 1233764896 1240465408 1300103168 1314390016 1410017024 1448824832 1485832192 1518479872 1655799808 1716542464 1735405568 1783169024 1868898304 1961762816 2015756288 2037907456 2112667648 2135883776 2194669568 2300182528 2303721472 2414477312 2467529792 2600206336 2628780032 2820034048 2897649664 3036959744 3311599616 3433084928 3470811136 3566338048 3737796608 3923525632 4031512576 4075814912 4225335296 4271767552 4600365056 4828954624 4935059584 5200412672 5640068096 5795299328 6073919488 6623199232 6866169856 6941622272 7132676096 7475593216 7847051264 8063025152 8450670592 8543535104 9200730112 9657909248 9870119168 10400825344 11280136192 11590598656 12147838976 13246398464 13732339712 13883244544 14265352192 14951186432 15694102528 16126050304 16901341184 17087070208 18401460224 19315818496 19740238336 22560272384 23181197312 24295677952 26492796928 27464679424 27766489088 28530704384 29902372864 31388205056 33802682368 34174140416 39480476672 45120544768 46362394624 48591355904 52985593856 54929358848 55532978176 59804745728 62776410112 67605364736 78960953344 90241089536 92724789248 97182711808 109858717696 111065956352 119609491456 125552820224 135210729472 157921906688 180482179072 185449578496 194365423616 219717435392 222131912704 239218982912 251105640448 315843813376 360964358144 370899156992 388730847232 439434870784 444263825408 631687626752 721928716288 777461694464 878869741568 1263375253504 1443857432576 1554923388928 1757739483136 2526750507008 2887714865152 3109846777856 5053501014016 5775429730304 10107002028032 20214004056064 40428008112128
- Sum of all divisors σ(n): 105414553305600
- Sum of proper divisors (its aliquot sum) s(n): 64986545193472
- 40428008112128 is an abundant number, because the sum of its proper divisors (64986545193472) is greater than itself. Its abundance is 24558537081344
Bases of 40428008112128
- Binary: 10010011000100111000010001000000000000000000002
- Hexadecimal: 0x24C4E1100000
- Base-36: EBWDC7JSW
Squares and roots of 40428008112128
- 40428008112128 squared (404280081121282) is 1634423839914287374620688384
- 40428008112128 cubed (404280081121283) is 66076500258710205617373401695327619121152
-
The
square root of 40428008112128 is 6358302.2979509239 -
The
cube root of 40428008112128 is 34321.0670252887
Scales and comparisons
How big is 40428008112128?- 40,428,008,112,128 seconds is equal to 1,285,485 years, 31 weeks, 3 days, 13 hours, 22 minutes, 8 seconds.
-
To count from 1 to 40,428,008,112,128 would take you about three million, two hundred thirteen thousand, seven hundred fourteen 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 40428008112128 cubic inches would be around 2860.1 feet tall.
Recreational maths with 40428008112128
- 40428008112128 backwards is 82121180082404
- The number of decimal digits it has is: 14
- The sum of 40428008112128's digits is 41
- More coming soon!
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