145468375948800

Names of 145468375948800

• Cardinal: 145468375948800 can be written as One hundred forty-five trillion, four hundred sixty-eight billion, three hundred seventy-five million, nine hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.454683759488 × 10¹⁴

Factors of 145468375948800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 68027

Divisors of 145468375948800

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 103 120 128 144 150 160 180 181 192 200 206 225 240 256 288 300 309 320 360 362 384 400 412 450 480 512 515 543 576 600 618 640 720 724 768 800 824 900 905 927 960 1030 1086 1152 1200 1236 1280 1440 1448 1536 1545 1600 1629 1648 1800 1810 1854 1920 2060 2172 2304 2400 2472 2560 2575 2715 2880 2896 3090 3200 3258 3296 3600 3620 3708 3840 4120 4344 4525 4608 4635 4800 4944 5150 5430 5760 5792 6180 6400 6516 6592 7200 7240 7416 7680 7725 8145 8240 8688 9050 9270 9600 9888 10300 10860 11520 11584 12360 12800 13032 13184 13575 14400 14480 14832 15450 16290 16480 17376 18100 18540 18643 19200 19776 20600 21720 23040 23168 23175 24720 26064 26368 27150 28800 28960 29664 30900 32580 32960 34752 36200 37080 37286 38400 39552 40725 41200 43440 46336 46350 49440 52128 52736 54300 55929 57600 57920 59328 61800 65160 65920 67733 69504 72400 74160 74572 79104 81450 82400 86880 92672 92700 93215 98880 104256 108600 111858 115200 115840 118656 123600 130320 131840 135466 139008 144800 148320 149144 158208 162900 164800 167787 173760 185400 186430 197760 203199 208512 217200 223716 231680 237312 247200 260640 263680 270932 278016 279645 289600 296640 298288 325800 329600 335574 338665 347520 370800 372860 395520 406398 417024 434400 447432 463360 466075 474624 494400 521280 541864 559290 579200 593280 596576 609597 651600 659200 671148 677330 695040 741600 745720 791040 812796 834048 838935 868800 894864 932150 988800 1015995 1042560 1083728 1118580 1158400 1186560 1193152 1219194 1303200 1318400 1342296 1354660 1390080 1398225 1483200 1491440 1625592 1677870 1693325 1737600 1789728 1864300 1977600 2031990 2085120 2167456 2237160 2316800 2373120 2386304 2438388 2606400 2684592 2709320 2796450 2966400 2982880 3047985 3251184 3355740 3386650 3475200 3579456 3728600 3955200 4063980 4170240 4194675 4334912 4474320 4772608 4876776 5079975 5212800 5369184 5418640 5592900 5932800 5965760 6095970 6502368 6711480 6773300 6950400 6976499 7158912 7457200 8127960 8389350 8669824 8948640 9545216 9753552 10159950 10425600 10738368 10837280 11185800 11865600 11931520 12191940 12259673 13004736 13422960 13546600 13952998 14317824 14914400 15239925 16255920 16778700 17339648 17897280 19507104 20319900 20851200 20929497 21476736 21674560 22371600 23863040 24383880 24519346 26009472 26845920 27093200 27905996 28635648 29828800 30479850 32511840 33557400 34679296 34882495 35794560 36779019 39014208 40639800 41858994 42953472 43349120 44743200 47726080 48767760 49038692 52018944 53691840 54186400 55811992 59657600 60959700 61298365 62788491 65023680 67114800 69764990 71589120 73558038 78028416 81279600 83717988 85906944 86698240 89486400 97535520 98077384 104037888 104647485 107383680 108372800 110337057 111623984 119315200 121919400 122596730 125576982 130047360 134229600 139529980 143178240 147116076 156056832 162559200 167435976 173396480 174412475 178972800 183895095 195071040 196154768 209294970 214767360 216745600 220674114 223247968 238630400 243838800 245193460 251153964 260094720 268459200 279059960 294232152 306491825 312113664 313942455 325118400 334871952 348824950 357945600 367790190 390142080 392309536 418589940 429534720 433491200 441348228 446495936 487677600 490386920 502307928 520189440 523237425 536918400 551685285 558119920 588464304 612983650 627884910 650236800 669743904 697649900 715891200 735580380 780284160 784619072 837179880 866982400 882696456 892991872 919475475 975355200 980773840 1004615856 1046474850 1073836800 1103370570 1116239840 1176928608 1225967300 1255769820 1262746319 1300473600 1339487808 1395299800 1471160760 1560568320 1569238144 1569712275 1674359760 1765392912 1785983744 1838950950 1950710400 1961547680 2009231712 2092949700 2147673600 2206741140 2232479680 2353857216 2451934600 2511539640 2525492638 2600947200 2678975616 2758426425 2790599600 2942321520 3138476288 3139424550 3348719520 3530785824 3571967488 3677901900 3788238957 3901420800 3923095360 4018463424 4185899400 4413482280 4464959360 4707714432 4903869200 5023079280 5050985276 5357951232 5516852850 5581199200 5884643040 6276952576 6278849100 6313731595 6697439040 7061571648 7355803800 7576477914 7802841600 7846190720 8036926848 8371798800 8826964560 8929918720 9415428864 9807738400 10046158560 10101970552 10715902464 11033705700 11162398400 11364716871 11769286080 12557698200 12627463190 13394878080 14123143296 14711607600 15152955828 15692381440 16073853696 16743597600 17653929120 17859837440 18830857728 18941194785 19615476800 20092317120 20203941104 22067411400 22324796800 22729433742 23538572160 25115396400 25254926380 26789756160 28246286592 29423215200 30305911656 31384762880 31568657975 32147707392 33487195200 35307858240 37882389570 39230953600 40184634240 40407882208 44134822800 44649593600 45458867484 47077144320 50230792800 50509852760 53579512320 56492573184 56823584355 58846430400 60611823312 63137315950 66974390400 70615716480 75764779140 78461907200 80369268480 80815764416 88269645600 89299187200 90917734968 94154288640 94705973925 100461585600 101019705520 113647168710 117692860800 121223646624 126274631900 133948780800 141231432960 151529558280 156923814400 160738536960 161631528832 176539291200 181835469936 189411947850 200923171200 202039411040 227294337420 235385721600 242447293248 252549263800 267897561600 282462865920 284117921775 303059116560 323263057664 353078582400 363670939872 378823895700 401846342400 404078822080 454588674840 470771443200 484894586496 505098527600 568235843550 606118233120 646526115328 706157164800 727341879744 757647791400 803692684800 808157644160 909177349680 969789172992 1010197055200 1136471687100 1212236466240 1412314329600 1454683759488 1515295582800 1616315288320 1818354699360 1939578345984 2020394110400 2272943374200 2424472932480 2909367518976 3030591165600 3232630576640 3636709398720 4040788220800 4545886748400 4848945864960 5818735037952 6061182331200 7273418797440 8081576441600 9091773496800 9697891729920 12122364662400 14546837594880 16163152883200 18183546993600 24244729324800 29093675189760 36367093987200 48489458649600 72734187974400 145468375948800
• Sum of all divisors σ(n): 528557367225888
• Sum of proper divisors (its aliquot sum) s(n): 383088991277088
• 145468375948800 is an abundant number, because the sum of its proper divisors (383088991277088) is greater than itself. Its abundance is 237620615328288

Bases of 145468375948800

• Binary: 100001000100110101111110110111111101111000000000₂
• Hexadecimal: 0x844D7EDFDE00
• Base-36: 1FKB8Z5OG0

Squares and roots of 145468375948800

• 145468375948800 squared (145468375948800²) is 21161048401181414300221440000
• 145468375948800 cubed (145468375948800³) is 3078263344293811141495900905010102272000000
• The square root of 145468375948800 is 12061027.1514825801
• The cube root of 145468375948800 is 52592.3846903907

Scales and comparisons

• 145,468,375,948,800 seconds is equal to 4,625,444 years, 20 weeks, 2 days, 16 hours.
• To count from 1 to 145,468,375,948,800 would take you about eleven million, five hundred sixty-three thousand, six hundred ten 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 145468375948800 cubic inches would be around 4382.7 feet tall.

Recreational maths with 145468375948800

• 145468375948800 backwards is 008849573864541
• 145468375948800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 145468375948800's digits is 72
• More coming soon!