13746108006400
13,746,108,006,400 is an even composite number composed of five prime numbers multiplied together.
13746108006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13746108006400:
215 × 52 × 7 × 113 × 1801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 1801)See below for interesting mathematical facts about the number 13746108006400 from the Numbermatics database.
Names of 13746108006400
- Cardinal: 13746108006400 can be written as Thirteen trillion, seven hundred forty-six billion, one hundred eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.37461080064 × 1013
Factors of 13746108006400
Divisors of 13746108006400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 121 128 140 154 160 175 176 200 220 224 242 256 275 280 308 320 350 352 385 400 440 448 484 512 550 560 605 616 640 700 704 770 800 847 880 896 968 1024 1100 1120 1210 1232 1280 1331 1400 1408 1540 1600 1694 1760 1792 1801 1925 1936 2048 2200 2240 2420 2464 2560 2662 2800 2816 3025 3080 3200 3388 3520 3584 3602 3850 3872 4096 4235 4400 4480 4840 4928 5120 5324 5600 5632 6050 6160 6400 6655 6776 7040 7168 7204 7700 7744 8192 8470 8800 8960 9005 9317 9680 9856 10240 10648 11200 11264 12100 12320 12607 12800 13310 13552 14080 14336 14408 15400 15488 16384 16940 17600 17920 18010 18634 19360 19712 19811 20480 21175 21296 22400 22528 24200 24640 25214 25600 26620 27104 28160 28672 28816 30800 30976 32768 33275 33880 35200 35840 36020 37268 38720 39424 39622 40960 42350 42592 44800 45025 45056 46585 48400 49280 50428 51200 53240 54208 56320 57344 57632 61600 61952 63035 66550 67760 70400 71680 72040 74536 77440 78848 79244 81920 84700 85184 89600 90050 90112 93170 96800 98560 99055 100856 102400 106480 108416 112640 114688 115264 123200 123904 126070 133100 135520 138677 140800 143360 144080 149072 154880 157696 158488 163840 169400 170368 179200 180100 180224 186340 193600 197120 198110 201712 204800 212960 216832 217921 225280 229376 230528 232925 246400 247808 252140 266200 271040 277354 281600 286720 288160 298144 309760 315175 315392 316976 338800 340736 358400 360200 360448 372680 387200 394240 396220 403424 409600 425920 433664 435842 450560 461056 465850 492800 495275 495616 504280 532400 542080 554708 563200 573440 576320 596288 619520 630350 630784 633952 677600 681472 693385 716800 720400 745360 774400 788480 792440 806848 819200 851840 867328 871684 901120 922112 931700 985600 990550 991232 1008560 1064800 1084160 1089605 1109416 1126400 1146880 1152640 1192576 1239040 1260700 1261568 1267904 1355200 1362944 1386770 1433600 1440800 1490720 1525447 1548800 1576960 1584880 1613696 1703680 1734656 1743368 1802240 1844224 1863400 1971200 1981100 1982464 2017120 2129600 2168320 2179210 2218832 2252800 2305280 2385152 2397131 2478080 2521400 2523136 2535808 2710400 2725888 2773540 2867200 2881600 2981440 3050894 3097600 3153920 3169760 3227392 3407360 3466925 3469312 3486736 3688448 3726800 3942400 3962200 3964928 4034240 4259200 4336640 4358420 4437664 4505600 4610560 4770304 4794262 4956160 5042800 5071616 5420800 5448025 5451776 5547080 5734400 5763200 5962880 6101788 6195200 6307840 6339520 6454784 6814720 6933850 6938624 6973472 7376896 7453600 7627235 7884800 7924400 8068480 8518400 8673280 8716840 8875328 9011200 9221120 9540608 9588524 9912320 10085600 10143232 10841600 10896050 10903552 11094160 11526400 11925760 11985655 12203576 12390400 12615680 12679040 12909568 13629440 13867700 13877248 13946944 14753792 14907200 15254470 15769600 15848800 16136960 16779917 17036800 17346560 17433680 17750656 18442240 19081216 19177048 19824640 20171200 20286464 21683200 21792100 21807104 22188320 23052800 23851520 23971310 24407152 24780800 25358080 25819136 27258880 27735400 27754496 27893888 29507584 29814400 30508940 31539200 31697600 32273920 33559834 34073600 34693120 34867360 35501312 36884480 38136175 38162432 38354096 40342400 40572928 43366400 43584200 43614208 44376640 46105600 47703040 47942620 48814304 49561600 50716160 51638272 54517760 55470800 55787776 59015168 59628800 59928275 61017880 63078400 63395200 64547840 67119668 68147200 69386240 69734720 71002624 73768960 76272350 76324864 76708192 80684800 81145856 83899585 86732800 87168400 88753280 92211200 95406080 95885240 97628608 99123200 101432320 103276544 109035520 110941600 111575552 119257600 119856550 122035760 126790400 129095680 134239336 136294400 138772480 139469440 142005248 147537920 152544700 152649728 153416384 161369600 162291712 167799170 173465600 174336800 177506560 184422400 190812160 191770480 195257216 202864640 206553088 218071040 221883200 223151104 238515200 239713100 244071520 253580800 258191360 268478672 272588800 278938880 284010496 295075840 305089400 305299456 306832768 322739200 324583424 335598340 346931200 348673600 355013120 368844800 381624320 383540960 390514432 405729280 413106176 419497925 443766400 446302208 477030400 479426200 488143040 507161600 516382720 536957344 545177600 557877760 568020992 610178800 613665536 645478400 649166848 671196680 693862400 697347200 710026240 737689600 763248640 767081920 781028864 811458560 838995850 887532800 892604416 954060800 958852400 976286080 1014323200 1032765440 1073914688 1090355200 1115755520 1136041984 1220357600 1227331072 1290956800 1342393360 1394694400 1420052480 1475379200 1526497280 1534163840 1562057728 1622917120 1677991700 1775065600 1785208832 1908121600 1917704800 1952572160 2028646400 2065530880 2147829376 2231511040 2272083968 2440715200 2454662144 2581913600 2684786720 2789388800 2840104960 3068327680 3124115456 3245834240 3355983400 3550131200 3570417664 3816243200 3835409600 3905144320 4057292800 4295658752 4463022080 4544167936 4881430400 4909324288 5163827200 5369573440 5578777600 5680209920 6136655360 6248230912 6711966800 7100262400 7140835328 7632486400 7670819200 7810288640 8114585600 8591317504 8926044160 9762860800 9818648576 10327654400 10739146880 11157555200 11360419840 12273310720 12496461824 13423933600 14200524800 15341638400 15620577280 16229171200 17182635008 17852088320 19525721600 19637297152 21478293760 22315110400 22720839680 24546621440 24992923648 26847867200 28401049600 30683276800 31241154560 34365270016 35704176640 39051443200 39274594304 42956587520 44630220800 49093242880 49985847296 53695734400 56802099200 61366553600 62482309120 68730540032 78102886400 78549188608 85913175040 89260441600 98186485760 107391468800 113604198400 122733107200 124964618240 137461080064 156205772800 171826350080 178520883200 196372971520 214782937600 245466214400 249929236480 274922160128 312411545600 343652700160 392745943040 429565875200 490932428800 549844320256 624823091200 687305400320 859131750400 981864857600 1249646182400 1374610800640 1718263500800 1963729715200 2749221601280 3436527001600 6873054003200 13746108006400
- Sum of all divisors σ(n): 42876650183040
- Sum of proper divisors (its aliquot sum) s(n): 29130542176640
- 13746108006400 is an abundant number, because the sum of its proper divisors (29130542176640) is greater than itself. Its abundance is 15384434170240
Bases of 13746108006400
- Binary: 110010000000100000111110001010000000000000002
- Hexadecimal: 0xC8083E28000
- Base-36: 4VEVHSJR4
Squares and roots of 13746108006400
- 13746108006400 squared (137461080064002) is 188955485323614182440960000
- 13746108006400 cubed (137461080064003) is 2597402509660130608236270551302144000000
-
The
square root of 13746108006400 is 3707574.4100961749 -
The
cube root of 13746108006400 is 23954.8386871107
Scales and comparisons
How big is 13746108006400?- 13,746,108,006,400 seconds is equal to 437,083 years, 37 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,746,108,006,400 would take you about one million, ninety-two thousand, seven hundred 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 13746108006400 cubic inches would be around 1996.2 feet tall.
Recreational maths with 13746108006400
- 13746108006400 backwards is 00460080164731
- 13746108006400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13746108006400's digits is 40
- More coming soon!
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