145442096800
145,442,096,800 is an even composite number composed of seven prime numbers multiplied together.
145442096800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 145442096800:
25 × 52 × 7 × 113 × 13 × 19 × 79
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 13 × 19 × 79)See below for interesting mathematical facts about the number 145442096800 from the Numbermatics database.
Names of 145442096800
- Cardinal: 145442096800 can be written as One hundred forty-five billion, four hundred forty-two million, ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.454420968 × 1011
Factors of 145442096800
Divisors of 145442096800
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 25 26 28 32 35 38 40 44 50 52 55 56 65 70 76 77 79 80 88 91 95 100 104 110 112 121 130 133 140 143 152 154 158 160 175 176 182 190 200 208 209 220 224 242 247 260 266 275 280 286 304 308 316 325 350 352 364 380 385 395 400 416 418 440 455 475 484 494 520 532 550 553 560 572 605 608 616 632 650 665 700 715 728 760 770 790 800 836 847 869 880 910 950 968 988 1001 1027 1040 1045 1064 1100 1106 1120 1144 1210 1232 1235 1264 1300 1330 1331 1400 1430 1456 1463 1501 1520 1540 1573 1580 1672 1694 1729 1738 1760 1820 1900 1925 1936 1975 1976 2002 2054 2080 2090 2128 2200 2212 2275 2288 2299 2420 2464 2470 2528 2600 2660 2662 2717 2765 2800 2860 2912 2926 3002 3025 3040 3080 3146 3160 3325 3344 3388 3458 3476 3575 3640 3800 3850 3872 3950 3952 4004 4108 4180 4235 4256 4345 4400 4424 4550 4576 4598 4840 4940 5005 5135 5200 5225 5320 5324 5434 5530 5600 5720 5852 6004 6050 6083 6160 6175 6292 6320 6650 6655 6688 6776 6916 6952 7150 7189 7280 7315 7505 7600 7700 7865 7900 7904 8008 8216 8360 8470 8645 8690 8800 8848 9100 9196 9317 9559 9680 9880 10010 10270 10400 10450 10507 10640 10648 10868 11011 11060 11297 11440 11495 11704 12008 12100 12166 12320 12350 12584 12640 13300 13310 13552 13585 13825 13832 13904 14300 14378 14560 14630 15010 15200 15400 15730 15800 16016 16093 16432 16511 16720 16940 17290 17303 17380 17696 18200 18392 18634 19019 19118 19360 19513 19760 20020 20540 20900 21014 21175 21280 21296 21725 21736 22022 22120 22594 22880 22990 23408 24016 24200 24332 24700 25025 25168 25289 25675 26600 26620 27104 27170 27650 27664 27808 28600 28756 29260 29887 30020 30415 30800 31460 31600 32032 32186 32864 33022 33275 33440 33880 34580 34606 34760 35945 36400 36575 36784 37268 37525 38038 38236 39026 39325 39520 40040 41080 41800 42028 42350 42592 43225 43450 43472 44044 44240 45188 45980 46585 46816 47795 48032 48400 48664 49400 50050 50336 50578 51350 52535 53200 53240 54340 55055 55300 55328 56485 57200 57475 57512 58520 59774 60040 60830 61600 62920 63200 64372 66044 66550 66913 67760 67925 69160 69212 69520 71890 72800 73150 73568 74536 75050 76076 76472 78052 78650 79079 80080 80465 82160 82555 83600 84056 84700 86450 86515 86900 86944 88088 88480 90376 91960 93170 95095 95590 96800 97328 97565 98800 100100 101156 102700 105070 105149 106400 106480 108680 110110 110600 112970 114400 114950 115024 115577 117040 119548 120080 121121 121660 124267 125840 126445 128744 132088 133100 133826 135520 135850 136591 138320 138424 139040 143780 146300 149072 149435 150100 152075 152152 152944 156104 157300 158158 160160 160930 164320 165110 167200 168112 169400 172900 173030 173800 176176 177023 179725 180752 181621 183920 186340 190190 191180 194656 195130 197600 200200 202312 205400 209209 210140 210298 212960 214643 217360 220220 221200 225940 229900 230048 231154 232925 234080 238975 239096 240160 242242 243320 248534 251680 252890 257488 262675 264176 266200 267652 271700 273182 275275 276640 276848 282425 287560 292600 298144 298870 300200 304150 304304 305888 312208 314600 316316 321860 328757 330220 334565 336224 338800 345800 346060 347600 352352 354046 359450 361504 363242 367840 372680 380380 382360 390260 395395 400400 402325 404624 410800 412775 418418 420280 420596 429286 432575 434720 440440 442400 451880 459800 462308 465850 475475 477950 478192 484484 486640 487825 497068 505780 514976 525350 525745 528352 532400 535304 543400 546364 550550 553696 564850 575120 577885 585200 597740 600400 605605 608300 608608 621335 624416 629200 632225 632632 643720 657514 660440 669130 677600 682955 691600 692120 695200 708092 718900 726484 736043 745360 747175 760760 764720 780520 790790 800800 804650 809248 821600 825550 836836 840560 841192 858572 865150 869869 880880 885115 903760 908105 919600 924616 931700 950950 955900 956384 968968 973280 975650 994136 1011560 1046045 1050700 1051490 1064800 1070608 1073215 1086800 1092728 1101100 1129700 1150240 1155770 1170400 1195480 1200800 1211210 1216600 1242670 1258400 1264450 1265264 1271347 1287440 1315028 1320880 1338260 1365910 1366937 1383200 1384240 1416184 1437800 1452968 1472086 1490720 1494350 1502501 1521520 1529440 1561040 1581580 1609300 1643785 1651100 1672825 1673672 1681120 1682384 1717144 1730300 1739738 1761760 1770230 1807520 1816210 1839200 1849232 1863400 1901900 1911800 1937936 1951300 1976975 1988272 1997831 2023120 2092090 2101400 2102980 2141216 2146430 2173600 2185456 2202200 2259400 2301299 2311540 2361073 2390960 2422420 2433200 2485340 2528900 2530528 2542694 2574880 2628725 2630056 2641760 2676520 2731820 2733874 2768480 2832368 2875600 2889425 2905936 2944172 2988700 3005002 3028025 3043040 3106675 3122080 3163160 3218600 3287570 3302200 3345650 3347344 3364768 3414775 3434288 3460600 3479476 3540460 3632420 3680215 3698464 3726800 3803800 3823600 3875872 3902600 3953950 3976544 3995662 4046240 4184180 4202800 4205960 4292860 4349345 4370912 4404400 4425575 4518800 4540525 4602598 4623080 4722146 4781920 4844840 4866400 4970680 5057800 5085388 5230225 5257450 5260112 5353040 5366075 5463640 5467748 5664736 5751200 5778850 5811872 5888344 5977400 6010004 6056050 6213350 6326320 6356735 6437200 6575140 6604400 6691300 6694688 6829550 6834685 6868576 6921200 6958952 7080920 7264840 7360430 7453600 7512505 7607600 7647200 7805200 7907900 7991324 8218925 8368360 8405600 8411920 8585720 8698690 8808800 8851150 9037600 9081050 9205196 9246160 9444292 9568559 9689680 9941360 9989155 10115600 10170776 10460450 10514900 10520224 10706080 10732150 10927280 10935496 11506495 11557700 11776688 11805365 11954800 12020008 12112100 12426700 12652640 12713470 12874400 13150280 13208800 13382600 13659100 13669370 13842400 13917904 13984817 14161840 14529680 14720860 15025010 15215200 15610400 15815800 15982648 16437850 16527511 16736720 16823840 17171440 17397380 17702300 18162100 18401075 18410392 18492320 18888584 19137118 19379360 19882720 19978310 20231200 20341552 20920900 21029800 21464300 21746725 21854560 21870992 23012990 23115400 23553376 23610730 23909600 24040016 24224200 24853400 25426940 25971803 26300560 26765200 27318200 27338740 27835808 27969634 28323680 29059360 29441720 30050020 31631600 31783675 31965296 32875700 33055022 33473440 34173425 34342880 34794760 35404600 36324200 36802150 36820784 37562525 37777168 38274236 39956620 40683104 41841800 42059600 42928600 43493450 43741984 46025980 46230800 47221460 47842795 48080032 48448400 49706800 49945775 50853880 51943606 52601120 53530400 54636400 54677480 55939268 57532475 58883440 59026825 60100040 63263200 63567350 63930592 65751400 66110044 68346850 69589520 69924085 70809200 72648400 73604300 73641568 75125050 75554336 76548472 79913240 82637555 83683600 84119200 85857200 86986900 92051960 92461600 94442920 95685590 96896800 99413600 99891550 101707760 103887212 109272800 109354960 111878536 115064950 117766880 118053650 120200080 127134700 129859015 131502800 132220088 136693700 139179040 139848170 141618400 145296800 147208600 150250100 153096944 159826480 165275110 167367200 171714400 173973800 181802621 184103920 188885840 191371180 199783100 203415520 207774424 218709920 223757072 230129900 236107300 239213975 240400160 254269400 259718030 263005600 264440176 273387400 279696340 294417200 300500200 306193888 319652960 330550220 347947600 349620425 363605242 368207840 377771680 382742360 399566200 413187775 415548848 447514144 460259800 472214600 478427950 508538800 519436060 528880352 546774800 559392680 588834400 601000400 649295075 661100440 695895200 699240850 727210484 765484720 799132400 826375550 831097696 909013105 920519600 944429200 956855900 1017077600 1038872120 1093549600 1118785360 1202000800 1298590150 1322200880 1398481700 1454420968 1530969440 1598264800 1652751100 1818026210 1841039200 1888858400 1913711800 2077744240 2237570720 2597180300 2644401760 2796963400 2908841936 3305502200 3636052420 3827423600 4155488480 4545065525 5194360600 5593926800 5817683872 6611004400 7272104840 7654847200 9090131050 10388721200 11187853600 13222008800 14544209680 18180262100 20777442400 29088419360 36360524200 72721048400 145442096800
- Sum of all divisors σ(n): 512367206400
- Sum of proper divisors (its aliquot sum) s(n): 366925109600
- 145442096800 is an abundant number, because the sum of its proper divisors (366925109600) is greater than itself. Its abundance is 221483012800
Bases of 145442096800
- Binary: 100001110111010000011001000110101000002
- Hexadecimal: 0x21DD0646A0
- Base-36: 1UTCGW4G
Squares and roots of 145442096800
- 145442096800 squared (1454420968002) is 21153403521580570240000
- 145442096800 cubed (1454420968003) is 3076595362635182185845279232000000
-
The
square root of 145442096800 is 381368.7150252363 -
The
cube root of 145442096800 is 5258.9217527017
Scales and comparisons
How big is 145442096800?- 145,442,096,800 seconds is equal to 4,624 years, 31 weeks, 4 days, 14 hours, 26 minutes, 40 seconds.
-
To count from 1 to 145,442,096,800 would take you about nine thousand, two hundred forty-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 145442096800 cubic inches would be around 438.2 feet tall.
Recreational maths with 145442096800
- 145442096800 backwards is 008690244541
- The number of decimal digits it has is: 12
- The sum of 145442096800's digits is 43
- More coming soon!
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The information we have on file for 145442096800 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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