145764138240
145,764,138,240 is an even composite number composed of seven prime numbers multiplied together.
145764138240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 145764138240:
28 × 32 × 5 × 7 × 43 × 127 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 43 × 127 × 331)See below for interesting mathematical facts about the number 145764138240 from the Numbermatics database.
Names of 145764138240
- Cardinal: 145764138240 can be written as One hundred forty-five billion, seven hundred sixty-four million, one hundred thirty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.4576413824 × 1011
Factors of 145764138240
Divisors of 145764138240
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 43 45 48 56 60 63 64 70 72 80 84 86 90 96 105 112 120 126 127 128 129 140 144 160 168 172 180 192 210 215 224 240 252 254 256 258 280 288 301 315 320 331 336 344 360 381 384 387 420 430 448 480 504 508 516 560 576 602 630 635 640 645 662 672 688 720 762 768 774 840 860 889 896 903 960 993 1008 1016 1032 1120 1143 1152 1204 1260 1270 1280 1290 1324 1344 1376 1440 1505 1524 1548 1655 1680 1720 1778 1792 1806 1905 1920 1935 1986 2016 2032 2064 2240 2286 2304 2317 2408 2520 2540 2580 2648 2667 2688 2709 2752 2880 2979 3010 3048 3096 3310 3360 3440 3556 3612 3810 3840 3870 3972 4032 4064 4128 4445 4480 4515 4572 4634 4816 4965 5040 5080 5160 5296 5334 5376 5418 5461 5504 5715 5760 5958 6020 6096 6192 6620 6720 6880 6951 7112 7224 7620 7740 7944 8001 8064 8128 8256 8890 8960 9030 9144 9268 9632 9930 10080 10160 10320 10592 10668 10836 10922 11008 11430 11520 11585 11916 12040 12192 12384 13240 13335 13440 13545 13760 13902 14224 14233 14448 14895 15240 15480 15888 16002 16128 16256 16383 16512 17780 18060 18288 18536 19264 19860 20160 20320 20640 20853 21184 21336 21672 21844 22860 23170 23832 24080 24384 24768 26480 26670 26880 27090 27305 27520 27804 28448 28466 28896 29790 30480 30960 31776 32004 32512 32766 33024 34755 35560 36120 36576 37072 38227 38528 39720 40005 40320 40640 41280 41706 42037 42368 42672 42699 43344 43688 45720 46340 47664 48160 48768 49149 49536 52960 53340 54180 54610 55040 55608 56896 56932 57792 59580 60960 61920 63552 64008 65532 69510 71120 71165 72240 73152 74144 76454 77056 79440 80010 80640 81280 81915 82560 83412 84074 84736 85344 85398 86688 87376 91440 92680 95328 96320 97536 98298 99072 99631 104265 105920 106680 108360 109220 111216 113792 113864 114681 115584 119160 121920 123840 126111 127104 128016 128097 131064 139020 142240 142330 144480 146304 148288 152908 158880 160020 162560 163830 165120 166824 168148 170688 170796 173376 174752 182880 185360 190656 191135 192640 196596 199262 208530 210185 211840 213360 213495 216720 218440 222432 227584 227728 229362 231168 238320 243840 245745 247680 252222 254208 256032 256194 262128 278040 284480 284660 288960 292608 294259 296576 298893 305816 317760 320040 327660 333648 336296 341376 341592 344043 346752 349504 365760 370720 378333 381312 382270 385280 393192 398524 417060 420370 423680 426720 426990 433440 436880 444864 455456 458724 476640 487680 491490 495360 498155 504444 512064 512388 524256 556080 568960 569320 573405 577920 588518 593152 597786 611632 630555 635520 640080 640485 655320 667296 672592 682752 683184 688086 693504 699008 731520 741440 756666 762624 764540 786384 797048 834120 840740 853440 853980 866880 873760 882777 889728 896679 910912 917448 953280 982980 996310 1008888 1024128 1024776 1048512 1112160 1137920 1138640 1146810 1155840 1177036 1195572 1223264 1261110 1271040 1280160 1280970 1310640 1334592 1345184 1366368 1376172 1398016 1463040 1471295 1482880 1494465 1513332 1529080 1572768 1594096 1668240 1681480 1706880 1707960 1720215 1733760 1747520 1765554 1779456 1793358 1807591 1821824 1834896 1891665 1906560 1965960 1992620 2017776 2048256 2049552 2097024 2224320 2277280 2293620 2354072 2391144 2446528 2522220 2560320 2561940 2621280 2648331 2669184 2690368 2732736 2752344 2942590 2965760 2988930 3026664 3058160 3145536 3188192 3336480 3362960 3413760 3415920 3440430 3467520 3495040 3531108 3586716 3615182 3643648 3669792 3783330 3813120 3931920 3985240 4035552 4099104 4194048 4413885 4448640 4483395 4554560 4587240 4708144 4782288 4893056 5044440 5120640 5123880 5242560 5296662 5338368 5380736 5422773 5465472 5504688 5885180 5977860 6053328 6116320 6291072 6376384 6672960 6725920 6831840 6880860 6990080 7062216 7173432 7230364 7339584 7566660 7863840 7970480 8071104 8198208 8827770 8897280 8966790 9037955 9109120 9174480 9416288 9564576 9786112 10088880 10241280 10247760 10485120 10593324 10761472 10845546 10930944 11009376 11770360 11955720 12106656 12232640 12582144 12653137 12752768 13241655 13345920 13451840 13663680 13761720 14124432 14346864 14460728 14679168 15133320 15727680 15940960 16142208 16268319 16396416 17655540 17933580 18075910 18218240 18348960 18832576 19129152 20177760 20495520 20970240 21186648 21691092 22018752 23540720 23911440 24213312 24465280 25306274 25505536 26483310 26691840 26903680 27113865 27327360 27523440 28248864 28693728 28921456 29358336 30266640 31455360 31881920 32284416 32536638 32792832 35311080 35867160 36151820 36697920 37665152 37959411 38258304 40355520 40991040 42373296 43382184 44037504 47081440 47822880 48426624 48930560 50612548 52966620 53807360 54227730 54654720 55046880 56497728 57387456 57842912 60533280 62910720 63265685 63763840 65073276 70622160 71734320 72303640 73395840 75330304 75918822 76516608 80711040 81341595 81982080 84746592 86764368 88075008 94162880 95645760 96853248 101225096 105933240 108455460 110093760 112995456 113878233 114774912 115685824 121066560 126531370 127527680 130146552 141244320 143468640 144607280 146791680 151837644 161422080 162683190 163964160 169493184 173528736 188325760 189797055 191291520 202450192 211866480 216910920 220187520 225990912 227756466 229549824 231371648 242133120 253062740 260293104 282488640 286937280 289214560 303675288 325366380 338986368 347057472 376651520 379594110 382583040 404900384 423732960 433821840 440375040 455512932 462743296 484266240 506125480 520586208 564977280 569391165 573874560 578429120 607350576 650732760 677972736 694114944 759188220 809800768 847465920 867643680 911025864 1012250960 1041172416 1129954560 1138782330 1147749120 1156858240 1214701152 1301465520 1388229888 1518376440 1619601536 1694931840 1735287360 1822051728 2024501920 2082344832 2277564660 2313716480 2429402304 2602931040 3036752880 3239203072 3389863680 3470574720 3644103456 4049003840 4164689664 4555129320 4858804608 5205862080 6073505760 6941149440 7288206912 8098007680 9110258640 9717609216 10411724160 12147011520 14576413824 16196015360 18220517280 20823448320 24294023040 29152827648 36441034560 48588046080 72882069120 145764138240
- Sum of all divisors σ(n): 596219559936
- Sum of proper divisors (its aliquot sum) s(n): 450455421696
- 145764138240 is an abundant number, because the sum of its proper divisors (450455421696) is greater than itself. Its abundance is 304691283456
Bases of 145764138240
- Binary: 100001111100000011100000111101000000002
- Hexadecimal: 0x21F0383D00
- Base-36: 1UYO7CW0
Squares and roots of 145764138240
- 145764138240 squared (1457641382402) is 21247183996849830297600
- 145764138240 cubed (1457641382403) is 3097077465327534388019906740224000
-
The
square root of 145764138240 is 381790.6995200381 -
The
cube root of 145764138240 is 5262.8003690265
Scales and comparisons
How big is 145764138240?- 145,764,138,240 seconds is equal to 4,634 years, 44 weeks, 22 hours, 24 minutes.
-
To count from 1 to 145,764,138,240 would take you about nine thousand, two hundred sixty-nine 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 145764138240 cubic inches would be around 438.6 feet tall.
Recreational maths with 145764138240
- 145764138240 backwards is 042831467541
- 145764138240 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 145764138240's digits is 45
- More coming soon!
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