42138403200
42,138,403,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 42138403200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
42138403200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42138403200:
27 × 34 × 52 × 17 × 73 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 73 × 131)See below for interesting mathematical facts about the number 42138403200 from the Numbermatics database.
Names of 42138403200
- Cardinal: 42138403200 can be written as Forty-two billion, one hundred thirty-eight million, four hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 4.21384032 × 1010
Factors of 42138403200
Divisors of 42138403200
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 73 75 80 81 85 90 96 100 102 108 120 128 131 135 136 144 146 150 153 160 162 170 180 192 200 204 216 219 225 240 255 262 270 272 288 292 300 306 320 324 340 360 365 384 393 400 405 408 425 432 438 450 459 480 510 524 540 544 576 584 600 612 640 648 655 657 675 680 720 730 765 786 800 810 816 850 864 876 900 918 960 1020 1048 1080 1088 1095 1152 1168 1179 1200 1224 1241 1275 1296 1310 1314 1350 1360 1377 1440 1460 1530 1572 1600 1620 1632 1700 1728 1752 1800 1825 1836 1920 1965 1971 2025 2040 2096 2160 2176 2190 2227 2295 2336 2358 2400 2448 2482 2550 2592 2620 2628 2700 2720 2754 2880 2920 3060 3144 3200 3240 3264 3275 3285 3400 3456 3504 3537 3600 3650 3672 3723 3825 3930 3942 4050 4080 4192 4320 4380 4454 4590 4672 4716 4800 4896 4964 5100 5184 5240 5256 5400 5440 5475 5508 5760 5840 5895 5913 6120 6205 6288 6480 6528 6550 6570 6681 6800 6885 7008 7074 7200 7300 7344 7446 7650 7860 7884 8100 8160 8384 8640 8760 8908 9180 9344 9432 9563 9600 9792 9825 9855 9928 10200 10368 10480 10512 10611 10800 10880 10950 11016 11135 11169 11475 11680 11790 11826 12240 12410 12576 12960 13100 13140 13362 13600 13770 14016 14148 14400 14600 14688 14892 15300 15720 15768 16200 16320 16425 16768 17280 17520 17685 17816 18360 18615 18864 19126 19584 19650 19710 19856 20043 20400 20960 21024 21222 21600 21900 22032 22270 22338 22950 23360 23580 23652 24480 24820 25152 25920 26200 26280 26724 27200 27540 28032 28296 28689 28800 29200 29376 29475 29565 29784 30600 31025 31440 31536 32400 32640 32850 33405 33507 34425 35040 35370 35632 36720 37230 37728 38252 39300 39420 39712 40086 40800 41920 42048 42444 43200 43800 44064 44540 44676 45900 46720 47160 47304 47815 48960 49275 49640 50304 51840 52400 52560 53055 53448 54400 55080 55675 55845 56592 57378 58400 58752 58950 59130 59568 60129 61200 62050 62880 63072 64800 65700 66810 67014 68850 70080 70740 71264 73440 74460 75456 76504 78600 78840 79424 80172 81600 83840 84096 84888 86067 86400 87600 88128 88425 89080 89352 91800 93075 94320 94608 95630 97920 98550 99280 100215 100521 104800 105120 106110 106896 110160 111350 111690 113184 114756 116800 117900 118260 119136 120258 122400 124100 125760 126144 129600 131400 133620 134028 137700 140160 141480 142528 143445 146880 147825 148920 150912 153008 157200 157680 158848 160344 162571 163200 167025 167535 169776 172134 175200 176256 176850 178160 178704 180387 183600 186150 188640 189216 191260 197100 198560 200430 201042 209600 210240 212220 213792 220320 222700 223380 226368 229512 233600 235800 236520 238272 239075 240516 244800 248200 251520 252288 258201 259200 262800 265275 267240 268056 275400 279225 282960 285056 286890 293760 295650 297840 300645 306016 314400 315360 320688 325142 334050 335070 339552 344268 350400 353700 356320 357408 360774 367200 372300 377280 378432 382520 394200 397120 400860 402084 419200 420480 424440 427584 430335 440640 445400 446760 452736 459024 471600 473040 476544 478150 481032 487713 489600 496400 501075 502605 516402 525600 530550 534480 536112 550800 558450 565920 573780 591300 595680 601290 612032 628800 630720 641376 650284 668100 670140 679104 688536 700800 707400 712640 714816 717225 721548 734400 744600 754560 756864 765040 774603 788400 794240 801720 804168 812855 837675 848880 855168 860670 881280 890800 893520 901935 918048 943200 946080 956300 962064 975426 992800 1002150 1005210 1032804 1051200 1061100 1068960 1072224 1101600 1116900 1131840 1147560 1182600 1191360 1202580 1224064 1257600 1261440 1282752 1291005 1300568 1336200 1340280 1358208 1377072 1414800 1425280 1429632 1434450 1443096 1463139 1468800 1489200 1503225 1530080 1549206 1576800 1603440 1608336 1625710 1675350 1697760 1721340 1781600 1787040 1803870 1836096 1886400 1892160 1912600 1924128 1950852 1985600 2004300 2010420 2065608 2102400 2122200 2137920 2144448 2151675 2203200 2233800 2263680 2295120 2365200 2382720 2405160 2438565 2513025 2565504 2582010 2601136 2672400 2680560 2754144 2829600 2868900 2886192 2926278 2978400 3006450 3060160 3098412 3153600 3206880 3216672 3251420 3350700 3395520 3442680 3563200 3574080 3607740 3672192 3772800 3784320 3825200 3848256 3873015 3901704 3971200 4008600 4020840 4064275 4131216 4244400 4275840 4288896 4303350 4389417 4406400 4467600 4509675 4590240 4730400 4810320 4877130 5026050 5164020 5202272 5344800 5361120 5508288 5659200 5737800 5772384 5852556 5956800 6012900 6120320 6196824 6307200 6413760 6433344 6455025 6502840 6701400 6791040 6885360 7126400 7148160 7215480 7315695 7650400 7696512 7746030 7803408 8017200 8041680 8128550 8262432 8488800 8606700 8778834 8935200 9019350 9180480 9460800 9620640 9754260 10052100 10328040 10404544 10689600 10722240 11016576 11318400 11475600 11544768 11705112 11913600 12025800 12192825 12393648 12827520 12866688 12910050 13005680 13168251 13402800 13770720 14430960 14631390 15300800 15492060 15606816 16034400 16083360 16257100 16524864 16977600 17213400 17557668 17870400 18038700 18360960 18921600 19241280 19365075 19508520 20104200 20656080 20809088 21379200 21444480 21947085 22951200 23089536 23410224 24051600 24385650 24787296 25820100 26011360 26336502 26805600 27541440 28861920 29262780 30601600 30984120 31213632 32068800 32166720 32514200 33049728 33955200 34426800 35115336 35740800 36077400 36578475 38482560 38730150 39017040 40208400 41312160 43894170 45902400 46820448 48103200 48771300 49574592 51640200 52022720 52673004 53611200 55082880 57723840 58525560 61968240 62427264 64137600 64333440 65028400 65841255 68853600 70230672 72154800 73156950 77460300 78034080 80416800 82624320 87788340 91804800 93640896 96206400 97542600 99149184 103280400 104045440 105346008 107222400 109735425 115447680 117051120 123936480 130056800 131682510 137707200 140461344 144309600 146313900 154920600 156068160 160833600 165248640 175576680 187281792 192412800 195085200 206560800 210692016 219470850 234102240 247872960 260113600 263365020 275414400 280922688 288619200 292627800 309841200 312136320 321667200 329206275 351153360 390170400 413121600 421384032 438941700 468204480 495745920 520227200 526730040 561845376 577238400 585255600 619682400 658412550 702306720 780340800 826243200 842768064 877883400 936408960 1053460080 1170511200 1239364800 1316825100 1404613440 1560681600 1685536128 1755766800 2106920160 2341022400 2478729600 2633650200 2809226880 3511533600 4213840320 4682044800 5267300400 7023067200 8427680640 10534600800 14046134400 21069201600 42138403200
- Sum of all divisors σ(n): 168176535120
- Sum of proper divisors (its aliquot sum) s(n): 126038131920
- 42138403200 is an abundant number, because the sum of its proper divisors (126038131920) is greater than itself. Its abundance is 83899728720
Bases of 42138403200
- Binary: 1001110011111010010100000001100000002
- Hexadecimal: 0x9CFA50180
- Base-36: JCW4800
Squares and roots of 42138403200
- 42138403200 squared (421384032002) is 1775645024245770240000
- 42138403200 cubed (421384032003) is 74822845971742042267680768000000
-
The
square root of 42138403200 is 205276.4068274773 -
The
cube root of 42138403200 is 3479.8406585781
Scales and comparisons
How big is 42138403200?- 42,138,403,200 seconds is equal to 1,339 years, 45 weeks, 2 days.
-
To count from 1 to 42,138,403,200 would take you about two thousand, six hundred seventy-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 42138403200 cubic inches would be around 290 feet tall.
Recreational maths with 42138403200
- 42138403200 backwards is 00230483124
- 42138403200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42138403200's digits is 27
- More coming soon!
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