145742992200
145,742,992,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 145742992200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
145742992200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 145742992200:
23 × 37 × 52 × 13 × 192 × 71
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 19 × 19 × 71)See below for interesting mathematical facts about the number 145742992200 from the Numbermatics database.
Names of 145742992200
- Cardinal: 145742992200 can be written as One hundred forty-five billion, seven hundred forty-two million, nine hundred ninety-two thousand, two hundred.
Scientific notation
- Scientific notation: 1.457429922 × 1011
Factors of 145742992200
Divisors of 145742992200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 25 26 27 30 36 38 39 40 45 50 52 54 57 60 65 71 72 75 76 78 81 90 95 100 104 108 114 117 120 130 135 142 150 152 156 162 171 180 190 195 200 213 216 225 228 234 243 247 260 270 284 285 300 312 324 325 342 351 355 360 361 380 390 405 426 450 456 468 475 486 494 513 520 540 568 570 585 600 639 648 650 675 684 702 710 722 729 741 760 780 810 852 855 900 923 936 950 972 975 988 1026 1053 1065 1080 1083 1140 1170 1215 1235 1278 1300 1349 1350 1368 1404 1420 1425 1444 1458 1482 1539 1560 1620 1704 1710 1755 1775 1800 1805 1846 1900 1917 1944 1950 1976 2025 2052 2106 2130 2166 2187 2223 2280 2340 2430 2470 2556 2565 2600 2698 2700 2769 2808 2840 2850 2888 2916 2925 2964 3078 3159 3195 3240 3249 3420 3510 3550 3610 3645 3692 3705 3800 3834 3900 4047 4050 4104 4212 4260 4275 4332 4374 4446 4615 4617 4680 4693 4860 4940 5112 5130 5265 5325 5396 5400 5415 5538 5700 5751 5832 5850 5928 6075 6156 6175 6318 6390 6498 6669 6745 6840 7020 7100 7220 7290 7384 7410 7668 7695 7800 8094 8100 8307 8424 8520 8550 8664 8748 8775 8892 9025 9230 9234 9386 9477 9585 9720 9747 9880 10260 10530 10650 10792 10830 10935 11076 11115 11400 11502 11700 12141 12150 12312 12350 12636 12780 12825 12996 13338 13490 13845 13851 14040 14079 14200 14440 14580 14820 15336 15390 15795 15975 16188 16200 16245 16614 17100 17253 17496 17537 17550 17784 18050 18225 18460 18468 18525 18772 18954 19170 19494 20007 20235 20520 21060 21300 21660 21870 22152 22230 23004 23075 23085 23400 23465 24282 24300 24700 24921 25272 25560 25631 25650 25992 26325 26676 26980 27075 27690 27702 28158 28431 28755 29160 29241 29640 30780 31590 31950 32376 32490 33228 33345 33725 34200 34506 35074 35100 36100 36423 36450 36920 36936 37050 37544 37908 38340 38475 38988 40014 40470 41535 41553 42120 42237 42600 43320 43740 44460 46008 46150 46170 46930 47385 47925 48564 48600 48735 49400 49842 51262 51300 51759 52611 52650 53352 53960 54150 54675 55380 55404 55575 56316 56862 57510 58482 60021 60705 61560 63180 63900 64980 66456 66690 67450 69012 69225 69255 70148 70200 70395 72200 72846 72900 74100 74763 75816 76680 76893 76950 77976 78975 80028 80940 81225 83070 83106 84474 86265 87480 87685 87723 88920 92300 92340 93860 94770 95850 97128 97470 99684 100035 101175 102524 102600 103518 105222 105300 108300 109269 109350 110760 110808 111150 112632 113724 115020 115425 116964 117325 120042 121410 124605 126360 126711 127800 128155 129960 133380 134900 138024 138450 138510 140296 140790 142155 143775 145692 145800 146205 148200 149526 153786 153900 155277 157833 157950 160056 161880 162450 166140 166212 166725 168948 172530 175370 175446 180063 182115 184600 184680 187720 189540 191700 194940 199368 200070 202350 205048 207036 207675 207765 210444 210600 211185 216600 218538 218700 222300 224289 227448 230040 230679 230850 233928 234650 236925 240084 242820 243675 249210 253422 256310 258795 263055 263169 266760 269800 276900 277020 281580 284310 287550 291384 292410 299052 300105 303525 307572 307800 310554 315666 315900 324900 327807 332280 332424 333203 333450 337896 345060 346275 350740 350892 351975 360126 364230 373815 379080 380133 383400 384465 389880 400140 404700 414072 415350 415530 420888 422370 431325 437076 437400 438425 438615 444600 448578 461358 461700 469300 473499 473850 480168 485640 487350 498420 500175 506844 512620 517590 526110 526338 540189 546345 553800 554040 563160 568620 575100 584820 598104 600210 607050 615144 621108 623025 631332 631800 633555 640775 649800 655614 666406 666900 672867 690120 692037 692550 701480 701784 703950 710775 720252 728460 731025 747630 760266 768930 776385 789165 789507 800280 809400 830700 831060 844740 862650 874152 876850 877230 897156 900315 910575 922716 923400 938600 946998 947700 974700 983421 996840 999609 1000350 1013688 1025240 1035180 1038825 1052220 1052676 1055925 1080378 1092690 1121445 1137240 1140399 1150200 1153395 1169640 1200420 1214100 1242216 1246050 1262664 1267110 1281550 1293975 1311228 1315275 1315845 1332812 1333800 1345734 1384074 1385100 1407900 1420497 1421550 1440504 1456920 1462050 1495260 1500525 1520532 1537860 1552770 1578330 1579014 1639035 1661400 1662120 1666015 1689480 1725300 1753700 1754460 1794312 1800630 1821150 1845432 1869075 1893996 1895400 1900665 1922325 1949400 1966842 1999218 2000700 2018601 2070360 2076111 2077650 2104440 2105352 2111850 2160756 2185380 2193075 2242890 2280798 2306790 2367495 2400840 2428200 2492100 2534220 2563100 2587950 2622456 2630550 2631690 2665624 2691468 2700945 2731725 2768148 2770200 2815800 2840994 2843100 2924100 2950263 2990520 2998827 3001050 3041064 3075720 3105540 3156660 3158028 3167775 3278070 3332030 3364335 3421197 3450600 3460185 3507400 3508920 3601260 3642300 3738150 3787992 3801330 3844650 3881925 3933684 3945825 3947535 3998436 4001400 4037202 4152222 4155300 4223700 4261491 4321512 4370760 4386150 4485780 4501575 4561596 4613580 4734990 4917105 4984200 4998045 5068440 5126200 5175900 5261100 5263380 5382936 5401890 5463450 5536296 5607225 5681988 5686200 5701995 5766975 5848200 5900526 5997654 6002100 6211080 6228333 6313320 6316056 6335550 6556140 6579225 6664060 6728670 6842394 6920370 7102485 7202520 7284600 7476300 7602660 7689300 7763850 7867368 7891650 7895070 7996872 8074404 8195175 8304444 8310600 8330075 8447400 8522982 8772300 8971560 8996481 9003150 9123192 9227160 9469980 9503325 9834210 9996090 10093005 10263591 10351800 10380555 10522200 10526760 10803780 10926900 11214450 11363976 11403990 11533950 11801052 11837475 11995308 12004200 12456666 12671100 12784473 13112280 13158450 13328120 13457340 13504725 13684788 13840740 14204970 14751315 14952600 14994135 15205320 15378600 15527700 15783300 15790140 16148808 16390350 16608888 16660150 16821675 17045964 17105985 17300925 17544600 17992962 18006300 18684999 18939960 19006650 19668420 19737675 19992180 20186010 20527182 20761110 21307455 21607560 21853800 22428900 22807980 23067900 23602104 23674950 23990616 24585525 24913332 24990225 25342200 25568946 26316900 26914680 26989443 27009450 27369576 27681480 28409940 28509975 29502630 29988270 31055400 31141665 31566600 31580280 32780700 33320300 33643350 34091928 34211970 34601850 35512425 35985924 36012600 37369998 38013300 38353419 39336840 39475350 39984360 40372020 41054364 41522220 42614910 44857800 44982405 45615960 46135800 47349900 49171050 49826664 49980450 50465025 51137892 51317955 51902775 52633800 53978886 54018900 56054997 56819880 57019950 59005260 59976540 62283330 63922365 65561400 66640600 67286700 68423940 69203700 71024850 71971848 73756575 74739996 74970675 76026600 76706838 78950700 80744040 80968329 82108728 83044440 85229820 85529925 89964810 93424995 94699800 98342100 99960900 100930050 102275784 102635910 103805550 106537275 107957772 108037800 112109994 114039900 118010520 119953080 124566660 127844730 134573400 134947215 136847880 138407400 142049700 147513150 149479992 149941350 153413676 155708325 157901400 161936658 170459640 171059850 179929620 186849990 191767095 196684200 199921800 201860100 205271820 207611100 213074550 215915544 224219988 224912025 228079800 242904987 249133320 255689460 256589775 269894430 280274985 284099400 295026300 299882700 306827352 311416650 319611825 323873316 342119700 359859240 373699980 383534190 403720200 404841645 410543640 415222200 426149100 448439976 449824050 467124975 485809974 511378920 513179550 539788860 560549970 590052600 599765400 622833300 639223650 647746632 674736075 684239400 728714961 747399960 767068380 809683290 852298200 899648100 934249950 958835475 971619948 1026359100 1079577720 1121099940 1214524935 1245666600 1278447300 1349472150 1401374925 1457429922 1534136760 1619366580 1799296200 1868499900 1917670950 1943239896 2024208225 2052718200 2242199880 2429049870 2556894600 2698944300 2802749850 2914859844 3238733160 3643574805 3736999800 3835341900 4048416450 4858099740 5397888600 5605499700 5829719688 6072624675 7287149610 7670683800 8096832900 9716199480 11210999400 12145249350 14574299220 16193665800 18217874025 24290498700 29148598440 36435748050 48580997400 72871496100 145742992200
- Sum of all divisors σ(n): 585750009600
- Sum of proper divisors (its aliquot sum) s(n): 440007017400
- 145742992200 is an abundant number, because the sum of its proper divisors (440007017400) is greater than itself. Its abundance is 294264025200
Bases of 145742992200
- Binary: 100001111011101111010110010011010010002
- Hexadecimal: 0x21EEF59348
- Base-36: 1UYBM4I0
Squares and roots of 145742992200
- 145742992200 squared (1457429922002) is 21241019775409260840000
- 145742992200 cubed (1457429922003) is 3095729779447517654411885448000000
-
The
square root of 145742992200 is 381763.0052794535 -
The
cube root of 145742992200 is 5262.5458647969
Scales and comparisons
How big is 145742992200?- 145,742,992,200 seconds is equal to 4,634 years, 9 weeks, 1 day, 4 hours, 30 minutes.
-
To count from 1 to 145,742,992,200 would take you about nine thousand, two hundred sixty-eight 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 145742992200 cubic inches would be around 438.5 feet tall.
Recreational maths with 145742992200
- 145742992200 backwards is 002299247541
- 145742992200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 145742992200's digits is 45
- More coming soon!
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The information we have on file for 145742992200 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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