130253468800
130,253,468,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 130253468800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
130253468800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 130253468800:
27 × 52 × 7 × 13 × 31 × 47 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 31 × 47 × 307)See below for interesting mathematical facts about the number 130253468800 from the Numbermatics database.
Names of 130253468800
- Cardinal: 130253468800 can be written as One hundred thirty billion, two hundred fifty-three million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.302534688 × 1011
Factors of 130253468800
Divisors of 130253468800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 47 50 52 56 62 64 65 70 80 91 94 100 104 112 124 128 130 140 155 160 175 182 188 200 208 217 224 235 248 260 280 307 310 320 325 329 350 364 376 400 403 416 434 448 455 470 496 520 560 611 614 620 640 650 658 700 728 752 775 800 806 832 868 896 910 940 992 1040 1085 1120 1175 1222 1228 1240 1300 1316 1400 1456 1457 1504 1535 1550 1600 1612 1645 1664 1736 1820 1880 1984 2015 2080 2149 2170 2240 2275 2350 2444 2456 2480 2600 2632 2800 2821 2912 2914 3008 3055 3070 3100 3200 3224 3290 3472 3640 3760 3968 3991 4030 4160 4277 4298 4340 4480 4550 4700 4888 4912 4960 5200 5264 5425 5600 5642 5824 5828 6016 6110 6140 6200 6448 6580 6944 7280 7285 7520 7675 7982 8060 8225 8320 8554 8596 8680 9100 9400 9517 9776 9824 9920 10075 10199 10400 10528 10745 10850 11200 11284 11648 11656 12220 12280 12400 12896 13160 13888 14105 14429 14560 14570 15040 15275 15350 15964 16120 16450 17108 17192 17360 18200 18800 18941 19034 19552 19648 19840 19955 20150 20398 20800 21056 21385 21490 21700 22400 22568 23312 24440 24560 24800 25792 26320 27776 27937 28210 28858 29120 29140 30080 30550 30700 31928 32240 32900 34216 34384 34720 36400 36425 37600 37882 38068 39104 39296 39910 40300 40796 41600 42112 42770 42980 43400 45136 46624 47585 48880 49120 49600 50995 51584 52640 53725 55874 56420 57716 58240 58280 61100 61400 63856 64480 65800 66619 68432 68768 69440 70525 72145 72800 72850 75200 75764 76136 78208 79820 80600 81592 85540 85960 86800 90272 93248 94705 95170 97760 98240 99200 99775 101003 101990 105280 106925 107450 111748 112840 115432 116560 122200 122800 123721 127712 128960 131600 132587 133238 136864 137536 138880 139685 141050 144290 145600 145700 150400 151528 152272 159640 161200 163184 171080 171920 173600 180544 186496 187577 189410 190340 195520 196480 199550 202006 203980 210560 213850 214900 223496 225680 230864 233120 237925 244400 245600 247442 254975 255424 257920 263200 265174 266476 273728 275072 279370 282100 288580 291200 291400 303056 304544 319280 322400 326368 333095 342160 343840 347200 360725 361088 375154 378820 380680 391040 399100 404012 407960 427700 429800 446992 447299 451360 461728 466240 473525 475850 488800 491200 494884 505015 509950 510848 526400 530348 532952 547456 558740 564200 577160 582800 606112 609088 618605 638560 644800 652736 662935 666190 684320 687680 694400 698425 721450 750308 757640 761360 798200 808024 815920 855400 859600 866047 893984 894598 902720 923456 932480 937885 947050 951700 977600 982400 989768 1010030 1019900 1052800 1060696 1065904 1117480 1128400 1154320 1165600 1212224 1218176 1237210 1277120 1289600 1305472 1313039 1325870 1332380 1368640 1375360 1396850 1442900 1500616 1515280 1522720 1596400 1616048 1631840 1665475 1710800 1719200 1732094 1787968 1789196 1805440 1846912 1875770 1894100 1903400 1955200 1979536 2020060 2039800 2121392 2131808 2234960 2236495 2256800 2308640 2331200 2424448 2474420 2525075 2554240 2626078 2651740 2664760 2737280 2793700 2885800 3001232 3030560 3045440 3093025 3131093 3192800 3232096 3263680 3314675 3330950 3421600 3438400 3464188 3575936 3578392 3751540 3788200 3806800 3959072 4040120 4079600 4242784 4263616 4330235 4469920 4472990 4513600 4617280 4662400 4689425 4948840 5050150 5252156 5303480 5329520 5587400 5771600 5814887 6002464 6061120 6090880 6186050 6262186 6385600 6464192 6527360 6565195 6629350 6661900 6843200 6876800 6928376 7156784 7503080 7576400 7613600 7918144 8080240 8159200 8485568 8527232 8660470 8939840 8945980 9027200 9234560 9378850 9897680 10100300 10504312 10606960 10659040 11174800 11182475 11543200 11629774 12004928 12122240 12372100 12524372 12771200 12928384 13130390 13258700 13323800 13686400 13856752 14313568 15006160 15152800 15227200 15655465 15836288 16160480 16318400 16971136 17320940 17879680 17891960 18757700 19795360 20200600 21008624 21213920 21318080 21651175 22349600 22364950 23086400 23259548 24009856 24744200 25048744 26260780 26517400 26647600 27713504 28627136 29074435 30012320 30305600 30454400 31310930 32320960 32636800 32825975 34641880 35783920 37515400 39590720 40401200 40704209 42017248 42427840 42636160 43302350 44699200 44729900 46172800 46519096 49488400 50097488 52521560 53034800 53295200 55427008 57254272 58148870 60024640 60611200 62621860 64641920 65651950 69283760 71567840 75030800 78277325 79181440 80802400 81408418 84034496 84855680 86604700 89398400 89459800 93038192 98976800 100194976 105043120 106069600 106590400 110854016 116297740 120049280 125243720 131303900 138567520 143135680 145372175 150061600 156554650 161604800 162816836 168068992 173209400 178919600 186076384 197953600 200389952 203521045 210086240 212139200 213180800 232595480 250487440 262607800 277135040 286271360 290744350 300123200 313109300 323209600 325633672 346418800 357839200 372152768 395907200 400779904 407042090 420172480 424278400 465190960 500974880 525215600 554270080 581488700 600246400 626218600 651267344 692837600 715678400 744305536 814084180 840344960 930381920 1001949760 1017605225 1050431200 1162977400 1252437200 1302534688 1385675200 1431356800 1628168360 1860763840 2003899520 2035210450 2100862400 2325954800 2504874400 2605069376 2771350400 3256336720 3721527680 4070420900 4201724800 4651909600 5009748800 5210138752 6512673440 8140841800 9303819200 10019497600 13025346880 16281683600 18607638400 26050693760 32563367200 65126734400 130253468800
- Sum of all divisors σ(n): 418853191680
- Sum of proper divisors (its aliquot sum) s(n): 288599722880
- 130253468800 is an abundant number, because the sum of its proper divisors (288599722880) is greater than itself. Its abundance is 158346254080
Bases of 130253468800
- Binary: 11110010100111011011000110100100000002
- Hexadecimal: 0x1E53B63480
- Base-36: 1NU5JVR4
Squares and roots of 130253468800
- 130253468800 squared (1302534688002) is 16965966134432573440000
- 130253468800 cubed (1302534688003) is 2209875940553169810270748672000000
-
The
square root of 130253468800 is 360906.4543617917 -
The
cube root of 130253468800 is 5069.0872444419
Scales and comparisons
How big is 130253468800?- 130,253,468,800 seconds is equal to 4,141 years, 34 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 130,253,468,800 would take you about eight thousand, two hundred eighty-three 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 130253468800 cubic inches would be around 422.4 feet tall.
Recreational maths with 130253468800
- 130253468800 backwards is 008864352031
- 130253468800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 130253468800's digits is 40
- More coming soon!
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The information we have on file for 130253468800 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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