13688585830400
13,688,585,830,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13688585830400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
13688585830400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13688585830400:
214 × 52 × 13 × 17 × 37 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 37 × 61 × 67)See below for interesting mathematical facts about the number 13688585830400 from the Numbermatics database.
Names of 13688585830400
- Cardinal: 13688585830400 can be written as Thirteen trillion, six hundred eighty-eight billion, five hundred eighty-five million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.36885858304 × 1013
Factors of 13688585830400
Divisors of 13688585830400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 37 40 50 52 61 64 65 67 68 74 80 85 100 104 122 128 130 134 136 148 160 170 185 200 208 221 244 256 260 268 272 296 305 320 325 335 340 370 400 416 425 442 481 488 512 520 536 544 592 610 629 640 650 670 680 740 793 800 832 850 871 884 925 962 976 1024 1037 1040 1072 1088 1105 1139 1184 1220 1258 1280 1300 1340 1360 1480 1525 1586 1600 1664 1675 1700 1742 1768 1850 1924 1952 2048 2074 2080 2144 2176 2210 2257 2278 2368 2405 2440 2479 2516 2560 2600 2680 2720 2960 3050 3145 3172 3200 3328 3350 3400 3484 3536 3700 3848 3904 3965 4087 4096 4148 4160 4288 4352 4355 4420 4514 4556 4736 4810 4880 4958 5032 5120 5185 5200 5360 5440 5525 5695 5920 6100 6290 6344 6400 6656 6700 6800 6968 7072 7400 7696 7808 7930 8174 8177 8192 8296 8320 8576 8704 8710 8840 9028 9112 9472 9620 9760 9916 10064 10240 10370 10400 10720 10880 11050 11285 11390 11840 12025 12200 12395 12580 12688 12800 13312 13400 13481 13600 13936 14144 14800 14807 15392 15616 15725 15860 16348 16354 16384 16592 16640 17152 17408 17420 17680 18056 18224 18944 19240 19520 19825 19832 20128 20435 20480 20740 20800 21440 21760 21775 22100 22570 22780 23680 24050 24400 24790 25160 25376 25600 25925 26624 26800 26962 27200 27872 28288 28475 29341 29600 29614 30784 31232 31450 31720 32227 32696 32708 33184 33280 34304 34816 34840 35360 36112 36448 37888 38369 38480 39040 39650 39664 40256 40870 40885 40960 41480 41600 42143 42880 43520 43550 44200 45140 45560 47360 48100 48800 49580 50320 50752 51200 51850 53131 53248 53600 53924 54400 55744 56425 56576 56950 58682 59200 59228 61568 61975 62464 62900 63440 64454 65392 65416 66368 66560 67405 68608 69479 69632 69680 70720 72224 72896 74035 75776 76738 76960 78080 79300 79328 80512 81740 81770 81920 82960 83200 84286 85760 87040 87100 88400 90280 91120 94720 96200 97600 99160 100640 101504 102175 102400 103700 106262 106496 107200 107848 108800 111488 112850 113152 113900 117364 118400 118456 123136 123950 124928 125800 126880 128908 130784 130832 132736 133120 134810 137216 138958 139264 139360 141440 144448 145792 146705 148070 151219 151552 153476 153920 156160 158600 158656 161024 161135 163480 163540 165920 166400 168572 171520 174080 174200 176800 180560 182240 189440 191845 192400 195200 198320 201280 203008 204350 204425 204800 207400 210715 212524 212992 214400 215696 217600 222976 225700 226304 227800 234728 236800 236912 246272 247900 249856 251600 253760 257816 261568 261664 265472 265655 266240 269620 274432 277916 278528 278720 282880 288896 291584 293410 296140 302438 303104 306952 307840 312320 317200 317312 322048 322270 326960 327080 331840 332800 337025 337144 343040 347395 348160 348400 353600 361120 364480 370175 378880 383690 384800 390400 396640 402560 406016 408700 408850 409600 414800 421430 425048 428800 431392 435200 445952 451400 452608 455600 469456 473600 473824 492544 495800 498797 499712 503200 507520 515632 523136 523328 530944 531310 532480 539240 547859 548864 555832 557440 565760 577792 583168 586820 592280 604876 606208 613904 615680 624640 634400 634624 644096 644540 653920 654160 663680 665600 674050 674288 686080 694790 696320 696800 707200 722240 728960 733525 740350 756095 757760 767380 769600 780800 793280 805120 805675 812032 817400 817700 829600 842860 850096 857600 862784 870400 891904 902800 903227 905216 911200 938912 947200 947648 959225 985088 991600 997594 999424 1006400 1015040 1031264 1046272 1046656 1053575 1061888 1062620 1064960 1078480 1095718 1097728 1111664 1114880 1131520 1155584 1166336 1173640 1184560 1209752 1227808 1231360 1249280 1268800 1269248 1288192 1289080 1307840 1308320 1327360 1328275 1331200 1348100 1348576 1372160 1389580 1392640 1393600 1414400 1444480 1457920 1467050 1480700 1512190 1515520 1534760 1539200 1561600 1586560 1610240 1611350 1624064 1634800 1635400 1659200 1685720 1700192 1715200 1725568 1736975 1740800 1783808 1805600 1806454 1810432 1822400 1877824 1894400 1895296 1918450 1965847 1970176 1983200 1995188 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196449280 196584700 197017600 199518800 203079680 205657840 206252800 209254400 209331200 212377600 215772160 217624576 219143600 220872704 222332800 231116800 231226112 233267200 240361472 241950400 242597888 245561600 251628416 253849600 255384064 257072300 257638400 264003584 267355192 269715200 272030720 276090880 280503808 284585984 289032640 300451840 303247360 309696512 314318848 314535520 319230080 324812800 329052544 330004480 334193990 334807040 334929920 340038400 345113600 345235456 350629760 355732480 356761600 361290800 375564800 379059200 387120640 392898560 393169400 399037600 411315680 412505600 418508800 418662400 424755200 431544320 435249152 438287200 444665600 462233600 462452224 466534400 480722944 483900800 491123200 503256832 507699200 510768128 514144600 528007168 534710384 539430400 544061440 552181760 561007616 569171968 578065280 600903680 606494720 619393024 628637696 629071040 638460160 658105088 660008960 668387980 669859840 680076800 690227200 690470912 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3452354560 3506297600 3557324800 3699617792 3871206400 3928985600 4026054656 4086145024 4113156800 4277683072 4315443200 4352491520 4488060928 4624522240 5032568320 5107681280 5264840704 5347103840 5440614400 5521817600 5610076160 5691719680 5780652800 6009036800 6064947200 6193930240 6290710400 6384601600 6581050880 6600089600 6683879800 7012595200 7114649600 7399235584 7742412800 7857971200 8052109312 8172290048 8226313600 8555366144 8630886400 8976121856 9249044480 10065136640 10215362560 10529681408 10694207680 10881228800 11220152320 11561305600 12018073600 12387860480 12581420800 12769203200 13162101760 13200179200 13367759600 14025190400 14229299200 14798471168 15484825600 15715942400 16104218624 16452627200 17110732288 17261772800 18498088960 20130273280 20430725120 21059362816 21388415360 21762457600 22440304640 23122611200 25162841600 25538406400 26324203520 26735519200 28050380800 28458598400 30969651200 32208437248 32905254400 34221464576 36996177920 40260546560 40861450240 42118725632 42776830720 44880609280 46245222400 50325683200 51076812800 52648407040 53471038400 56100761600 61939302400 65810508800 68442929152 73992355840 80521093120 85553661440 92490444800 100651366400 102153625600 105296814080 106942076800 112201523200 131621017600 136885858304 161042186240 171107322880 184980889600 201302732800 204307251200 210593628160 213884153600 224403046400 263242035200 273771716608 342214645760 369961779200 402605465600 427768307200 526484070400 547543433216 684429291520 805210931200 855536614400 1052968140800 1368858583040 1711073228800 2737717166080 3422146457600 6844292915200 13688585830400
- Sum of all divisors σ(n): 41009371607232
- Sum of proper divisors (its aliquot sum) s(n): 27320785776832
- 13688585830400 is an abundant number, because the sum of its proper divisors (27320785776832) is greater than itself. Its abundance is 13632199946432
Bases of 13688585830400
- Binary: 110001110011000111110100101111000000000000002
- Hexadecimal: 0xC731F4BC000
- Base-36: 4UOG6KOOW
Squares and roots of 13688585830400
- 13688585830400 squared (136885858304002) is 187377382036227657564160000
- 13688585830400 cubed (136885858304003) is 2564931376678553412801343954878464000000
-
The
square root of 13688585830400 is 3699808.8910645101 -
The
cube root of 13688585830400 is 23921.3780409133
Scales and comparisons
How big is 13688585830400?- 13,688,585,830,400 seconds is equal to 435,254 years, 35 weeks, 5 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,688,585,830,400 would take you about one million, eighty-eight thousand, one hundred thirty-six 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 13688585830400 cubic inches would be around 1993.4 feet tall.
Recreational maths with 13688585830400
- 13688585830400 backwards is 00403858588631
- The number of decimal digits it has is: 14
- The sum of 13688585830400's digits is 59
- More coming soon!
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"Number 13688585830400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 13688585830400 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/13688585830400/
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The information we have on file for 13688585830400 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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