13146134738688
13,146,134,738,688 is an even composite number composed of seven prime numbers multiplied together.
13146134738688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13146134738688:
28 × 32 × 7 × 19 × 101 × 233 × 1823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 101 × 233 × 1823)See below for interesting mathematical facts about the number 13146134738688 from the Numbermatics database.
Names of 13146134738688
- Cardinal: 13146134738688 can be written as Thirteen trillion, one hundred forty-six billion, one hundred thirty-four million, seven hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3146134738688 × 1013
Factors of 13146134738688
Divisors of 13146134738688
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 101 112 114 126 128 133 144 152 168 171 192 202 224 228 233 252 256 266 288 303 304 336 342 384 399 404 448 456 466 504 532 576 606 608 672 684 699 707 768 798 808 896 909 912 932 1008 1064 1152 1197 1212 1216 1344 1368 1398 1414 1596 1616 1631 1792 1818 1823 1824 1864 1919 2016 2097 2121 2128 2304 2394 2424 2432 2688 2736 2796 2828 3192 3232 3262 3636 3646 3648 3728 3838 4032 4194 4242 4256 4427 4788 4848 4864 4893 5376 5469 5472 5592 5656 5757 6363 6384 6464 6524 7272 7292 7296 7456 7676 8064 8388 8484 8512 8854 9576 9696 9786 10938 10944 11184 11312 11514 12726 12761 12768 12928 13048 13281 13433 14544 14584 14592 14679 14912 15352 16128 16407 16776 16968 17024 17271 17708 19152 19392 19572 21876 21888 22368 22624 23028 23533 25452 25522 25536 25856 26096 26562 26866 29088 29168 29358 29824 30704 30989 32814 33552 33936 34048 34542 34637 35416 38283 38304 38784 39144 39843 40299 43752 43776 44736 45248 46056 47066 50904 51044 51072 52192 53124 53732 58176 58336 58716 59648 61408 61978 65628 67104 67872 69084 69274 70599 70832 76566 76608 77568 78288 79686 80598 87504 89472 90496 92112 92967 94132 101808 102088 102144 103911 104384 106248 107464 114849 116352 116672 117432 120897 122816 123956 131256 134208 135744 138168 138548 141198 141664 153132 153216 156576 159372 161196 164731 175008 178944 180992 184123 184224 185934 188264 203616 204176 207822 208768 211797 212496 214928 229698 232704 233344 234864 241794 242459 245632 247912 262512 268416 271488 276336 277096 278901 282396 283328 306264 306432 311733 313152 318744 322392 329462 350016 368246 368448 371868 376528 407232 408352 415644 417536 423594 424759 424992 429856 447127 459396 466688 469728 483588 484918 491264 494193 495824 525024 536832 542976 552369 552672 554192 557802 564792 566656 612528 623466 626304 637488 644784 658924 700032 727377 736492 736896 743736 753056 814464 816704 831288 847188 849518 849984 859712 894254 918792 939456 967176 969836 988386 991648 1050048 1104738 1105344 1108384 1115604 1129584 1133312 1225056 1246932 1252608 1274277 1274976 1288861 1289568 1317848 1341381 1400064 1454754 1472984 1473792 1482579 1487472 1506112 1628928 1633408 1657107 1662576 1694376 1699036 1699968 1719424 1788508 1837584 1878912 1934352 1939672 1976772 1983296 2100096 2182131 2209476 2210688 2216768 2231208 2259168 2450112 2493864 2548554 2549952 2577722 2579136 2635696 2682762 2909508 2945968 2965158 2973313 2974944 3012224 3129889 3266816 3314214 3325152 3388752 3398072 3399936 3438848 3498337 3577016 3675168 3757824 3822831 3866583 3868704 3879344 3953544 3966592 4024143 4200192 4364262 4418952 4421376 4433536 4462416 4518336 4900224 4987728 5097108 5099904 5155444 5158272 5271392 5365524 5819016 5891936 5930316 5946626 5949888 6024448 6259778 6628428 6650304 6777504 6796144 6996674 7154032 7350336 7645662 7733166 7737408 7758688 7907088 7933184 8048286 8070421 8728524 8837904 8867072 8919939 8924832 9036672 9389667 9800448 9975456 10194216 10199808 10310888 10316544 10495011 10542784 10731048 11599749 11638032 11783872 11860632 11893252 11899776 12519556 13256856 13300608 13555008 13592288 13993348 14308064 14700672 15291324 15466332 15474816 15517376 15814176 16096572 16140842 17457048 17675808 17839878 17849664 18073344 18779334 19950912 20388432 20621776 20990022 21085568 21462096 23199498 23276064 23567744 23721264 23786504 23799552 24211263 24488359 25039112 26513712 26601216 26759817 27110016 27184576 27986696 28169001 28616128 29401344 30582648 30932664 30949632 31034752 31485033 31628352 32193144 32281684 34914096 35351616 35679756 35699328 37558668 39901824 40776864 41243552 41980044 42171136 42900659 42924192 46398996 46552128 47135488 47442528 47573008 48422526 48976718 50078224 53027424 53519634 54220032 54369152 55973392 56338002 56492947 57232256 61165296 61865328 62069504 62970066 63256704 64386288 64563368 69828192 70703232 71359512 71398656 72633789 73465077 75117336 79803648 81553728 82487104 83960088 85801318 85848384 92797992 93104256 94885056 95146016 96845052 97953436 100156448 106054848 107039268 108738304 111946784 112676004 112985894 114464512 122330592 123730656 125940132 126513408 128701977 128772576 129126736 139656384 141406464 142719024 145267578 146930154 150234672 163107456 164974208 167920176 169478841 171602636 171696768 185595984 186208512 189770112 190292032 193690104 195906872 200312896 212109696 214078536 220395231 223893568 225352008 225971788 244661184 247461312 251880264 257403954 257545152 258253472 279312768 285438048 290535156 293860308 300304613 300469344 326214912 329948416 335840352 338957682 343205272 343393536 371191968 379540224 380584064 386105931 387380208 391813744 400625792 424219392 428157072 440790462 447787136 450704016 451943576 489322368 494922624 503760528 508436523 514807908 515090304 516506944 558625536 570876096 581070312 587720616 600609226 600938688 671680704 677915364 686410544 742383936 761168128 772211862 774760416 783627488 801251584 815112521 856314144 881580924 895574272 900913839 901408032 903887152 978644736 989845248 1007521056 1016873046 1029615816 1030180608 1033013888 1141752192 1162140624 1175441232 1201218452 1201877376 1343361408 1355830728 1372821088 1484767872 1544423724 1549520832 1567254976 1630225042 1712628288 1763161848 1801827678 1802816064 1807774304 2015042112 2033746092 2059231632 2066027776 2283504384 2324281248 2350882464 2402436904 2403754752 2445337563 2686722816 2702741517 2711661456 2745642176 2969535744 3088847448 3099041664 3134509952 3260450084 3425256576 3526323696 3603655356 3605632128 3615548608 4030084224 4067492184 4118463264 4648562496 4701764928 4804873808 4890675126 5405483034 5423322912 5491284352 5705787647 6177694896 6198083328 6269019904 6520900168 6850513152 7052647392 7207310712 7211264256 7231097216 7336012689 8060168448 8134984368 8236926528 9297124992 9403529856 9609747616 9781350252 10810966068 10846645824 10982568704 11411575294 12355389792 13041800336 14105294784 14414621424 14462194432 14672025378 16269968736 16473853056 17117362941 18594249984 18807059712 19219495232 19562700504 21621932136 21693291648 22823150588 24710779584 26083600672 28210589568 28829242848 29344050756 32539937472 32947706112 34234725882 38438990464 39125401008 43243864272 43386583296 45646301176 49421559168 51352088823 52167201344 56421179136 57658485696 58688101512 65079874944 68469451764 76877980928 78250802016 86487728544 91292602352 98843118336 102704177646 104334402688 115316971392 117376203024 130159749888 136938903528 156501604032 172975457088 182585204704 205408355292 208668805376 230633942784 234752406048 273877807056 313003208064 345950914176 365170409408 410816710584 469504812096 547755614112 626006416128 691901828352 730340818816 821633421168 939009624192 1095511228224 1460681637632 1643266842336 1878019248384 2191022456448 3286533684672 4382044912896 6573067369344 13146134738688
- Sum of all divisors σ(n): 46272727388160
- Sum of proper divisors (its aliquot sum) s(n): 33126592649472
- 13146134738688 is an abundant number, because the sum of its proper divisors (33126592649472) is greater than itself. Its abundance is 19980457910784
Bases of 13146134738688
- Binary: 101111110100110100101011000011110111000000002
- Hexadecimal: 0xBF4D2B0F700
- Base-36: 4NR9177K0
Squares and roots of 13146134738688
- 13146134738688 squared (131461347386882) is 172820858567739410043961344
- 13146134738688 cubed (131461347386883) is 2271926292387244735205151045597813276672
-
The
square root of 13146134738688 is 3625759.8843122527 -
The
cube root of 13146134738688 is 23601.1243471609
Scales and comparisons
How big is 13146134738688?- 13,146,134,738,688 seconds is equal to 418,006 years, 21 weeks, 6 days, 6 hours, 4 minutes, 48 seconds.
-
To count from 1 to 13,146,134,738,688 would take you about one million, forty-five thousand and sixteen 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 13146134738688 cubic inches would be around 1966.8 feet tall.
Recreational maths with 13146134738688
- 13146134738688 backwards is 88683743164131
- 13146134738688 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13146134738688's digits is 63
- More coming soon!
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The information we have on file for 13146134738688 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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