131038934400
131,038,934,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 131038934400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
131038934400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131038934400:
27 × 32 × 52 × 112 × 31 × 1213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 31 × 1213)See below for interesting mathematical facts about the number 131038934400 from the Numbermatics database.
Names of 131038934400
- Cardinal: 131038934400 can be written as One hundred thirty-one billion, thirty-eight million, nine hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.310389344 × 1011
Factors of 131038934400
Divisors of 131038934400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 31 32 33 36 40 44 45 48 50 55 60 62 64 66 72 75 80 88 90 93 96 99 100 110 120 121 124 128 132 144 150 155 160 165 176 180 186 192 198 200 220 225 240 242 248 264 275 279 288 300 310 320 330 341 352 360 363 372 384 396 400 440 450 465 480 484 495 496 528 550 558 576 600 605 620 640 660 682 704 720 726 744 775 792 800 825 880 900 930 960 968 990 992 1023 1056 1089 1100 1116 1152 1200 1210 1213 1240 1320 1364 1395 1408 1440 1452 1488 1550 1584 1600 1650 1705 1760 1800 1815 1860 1920 1936 1980 1984 2046 2112 2178 2200 2232 2325 2400 2420 2426 2475 2480 2640 2728 2790 2880 2904 2976 3025 3069 3100 3168 3200 3300 3410 3520 3600 3630 3639 3720 3751 3872 3960 3968 4092 4224 4356 4400 4464 4650 4800 4840 4852 4950 4960 5115 5280 5445 5456 5580 5760 5808 5952 6050 6065 6138 6200 6336 6600 6820 6975 7040 7200 7260 7278 7440 7502 7744 7920 8184 8525 8712 8800 8928 9075 9300 9600 9680 9704 9900 9920 10230 10560 10890 10912 10917 11160 11253 11616 11904 12100 12130 12276 12400 12672 13200 13343 13640 13950 14400 14520 14556 14880 15004 15345 15488 15840 16368 17050 17424 17600 17856 18150 18195 18600 18755 19360 19408 19800 19840 20460 21120 21780 21824 21834 22320 22506 23232 24200 24260 24552 24800 25575 26400 26686 27225 27280 27900 28800 29040 29112 29760 30008 30325 30690 31680 32736 33759 34100 34848 35200 35712 36300 36390 37200 37510 37603 38720 38816 39600 40029 40920 43560 43648 43668 44640 45012 46464 48400 48520 49104 49600 51150 52800 53372 54450 54560 54585 55800 56265 58080 58224 59520 60016 60650 61380 63360 65472 66715 67518 68200 69696 72600 72780 74400 75020 75206 76725 77440 77632 79200 80058 81840 87120 87336 89280 90024 90975 93775 96800 97040 98208 99200 102300 105600 106744 108900 109120 109170 111600 112530 112809 116160 116448 120032 120087 121300 122760 130944 133430 135036 136400 139392 145200 145560 146773 148800 150040 150412 153450 155264 158400 160116 163680 168795 174240 174672 178560 180048 181950 187550 188015 193600 194080 196416 200145 204600 213488 217800 218240 218340 223200 225060 225618 232320 232896 240064 240174 242600 245520 266860 270072 272800 272925 281325 290400 291120 293546 297600 300080 300824 306900 316800 320232 327360 333575 337590 338427 348480 349344 360096 363900 375100 376030 387200 388160 392832 400290 409200 413633 426976 435600 436680 440319 446400 450120 451236 465792 480128 480348 485200 491040 533720 540144 545600 545850 562650 564045 580800 582240 587092 600160 600435 601648 613800 640464 654720 667150 675180 676854 696960 698688 720192 727800 733865 750200 752060 776320 800580 818400 827266 843975 853952 871200 873360 880638 892800 900240 902472 940075 960696 970400 982080 1000725 1067440 1080288 1091200 1091700 1125300 1128090 1161600 1164480 1174184 1200320 1200870 1203296 1227600 1240899 1280928 1320957 1334300 1350360 1353708 1397376 1440384 1455600 1467730 1500400 1504120 1601160 1636800 1654532 1687950 1692135 1707904 1742400 1746720 1761276 1800480 1804944 1880150 1921392 1940800 1964160 2001450 2068165 2134880 2160576 2183400 2201595 2250600 2256180 2328960 2348368 2400640 2401740 2406592 2455200 2481798 2561856 2641914 2668600 2700720 2707416 2820225 2911200 2935460 3000800 3002175 3008240 3202320 3273600 3309064 3375900 3384270 3484800 3493440 3522552 3600960 3609888 3669325 3722697 3760300 3842784 3881600 4002900 4136330 4269760 4321152 4366800 4403190 4501200 4512360 4549963 4696736 4803480 4813184 4910400 4963596 5123712 5283828 5337200 5401440 5414832 5640450 5822400 5870920 6001600 6004350 6016480 6204495 6404640 6604785 6618128 6751800 6768540 6986880 7045104 7201920 7219776 7338650 7445394 7520600 7685568 8005800 8272660 8460675 8539520 8733600 8806380 9002400 9024720 9099926 9393472 9606960 9820800 9927192 10340825 10567656 10674400 10802880 10829664 11007975 11280900 11644800 11741840 12003200 12008700 12032960 12408990 12809280 13209570 13236256 13503600 13537080 13649889 14090208 14439552 14677300 14890788 15041200 15371136 16011600 16545320 16921350 17467200 17612760 18004800 18049440 18199852 18613485 18786944 19213920 19854384 20681650 21135312 21348800 21605760 21659328 22015950 22561800 22749815 23483680 24017400 24065920 24817980 25618560 26419140 26472512 27007200 27074160 27299778 28180416 29354600 29781576 30082400 31022475 32023200 33023925 33090640 33842700 34934400 35225520 36009600 36098880 36399704 37226970 38427840 39708768 40949667 41363300 42270624 42697600 43318656 44031900 45123600 45499630 46967360 48034800 49635960 52838280 52945024 54014400 54148320 54599556 56360832 58709200 59563152 60164800 62044950 64046400 66047850 66181280 67685400 68249445 70451040 72197760 72799408 74453940 76855680 79417536 81899334 82726600 84541248 88063800 90247200 90999260 93067425 93934720 96069600 99271920 105676560 108028800 108296640 109199112 113749075 117418400 119126304 120329600 124089900 128092800 132095700 132362560 135370800 136498890 140902080 145598816 148907880 158835072 163798668 165453200 169082496 176127600 180494400 181998520 186134850 192139200 198543840 204748335 211353120 216593280 218398224 227498150 234836800 238252608 248179800 264191400 264725120 270741600 272997780 281804160 291197632 297815760 327597336 330906400 341247225 352255200 360988800 363997040 372269700 384278400 397087680 409496670 422706240 436796448 454996300 469673600 476505216 496359600 528382800 541483200 545995560 582395264 595631520 655194672 661812800 682494450 704510400 727994080 744539400 794175360 818993340 845412480 873592896 909992600 992719200 1023741675 1056765600 1082966400 1091991120 1191263040 1310389344 1323625600 1364988900 1409020800 1455988160 1489078800 1637986680 1747185792 1819985200 1985438400 2047483350 2113531200 2183982240 2382526080 2620778688 2729977800 2911976320 2978157600 3275973360 3639970400 3970876800 4094966700 4227062400 4367964480 5241557376 5459955600 5956315200 6551946720 7279940800 8189933400 8735928960 10919911200 11912630400 13103893440 14559881600 16379866800 21839822400 26207786880 32759733600 43679644800 65519467200 131038934400
- Sum of all divisors σ(n): 530964557760
- Sum of proper divisors (its aliquot sum) s(n): 399925623360
- 131038934400 is an abundant number, because the sum of its proper divisors (399925623360) is greater than itself. Its abundance is 268886688960
Bases of 131038934400
- Binary: 11110100000101000011101110101100000002
- Hexadecimal: 0x1E82877580
- Base-36: 1O7574W0
Squares and roots of 131038934400
- 131038934400 squared (1310389344002) is 17171202328687503360000
- 131038934400 cubed (1310389344003) is 2250096055518008990890819584000000
-
The
square root of 131038934400 is 361993.0032473005 -
The
cube root of 131038934400 is 5079.2561789399
Scales and comparisons
How big is 131038934400?- 131,038,934,400 seconds is equal to 4,166 years, 32 weeks, 6 days, 8 hours.
-
To count from 1 to 131,038,934,400 would take you about eight thousand, three hundred thirty-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 131038934400 cubic inches would be around 423.3 feet tall.
Recreational maths with 131038934400
- 131038934400 backwards is 004439830131
- 131038934400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131038934400's digits is 36
- More coming soon!
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