13978522471680
13,978,522,471,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13978522471680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
13978522471680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13978522471680:
28 × 32 × 5 × 132 × 37 × 41 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 37 × 41 × 4733)See below for interesting mathematical facts about the number 13978522471680 from the Numbermatics database.
Names of 13978522471680
- Cardinal: 13978522471680 can be written as Thirteen trillion, nine hundred seventy-eight billion, five hundred twenty-two million, four hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.397852247168 × 1013
Factors of 13978522471680
Divisors of 13978522471680
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 37 39 40 41 45 48 52 60 64 65 72 74 78 80 82 90 96 104 111 117 120 123 128 130 144 148 156 160 164 169 180 185 192 195 205 208 222 234 240 246 256 260 288 296 312 320 328 333 338 360 369 370 384 390 410 416 444 468 480 481 492 507 520 533 555 576 585 592 615 624 640 656 666 676 720 738 740 768 780 820 832 845 888 936 960 962 984 1014 1040 1066 1110 1152 1170 1184 1230 1248 1280 1312 1332 1352 1440 1443 1476 1480 1517 1521 1560 1599 1640 1664 1665 1690 1776 1845 1872 1920 1924 1968 2028 2080 2132 2220 2304 2340 2368 2405 2460 2496 2535 2624 2664 2665 2704 2880 2886 2952 2960 3034 3042 3120 3198 3280 3328 3330 3380 3552 3690 3744 3840 3848 3936 4056 4160 4264 4329 4440 4551 4680 4733 4736 4797 4810 4920 4992 5070 5248 5328 5330 5408 5760 5772 5904 5920 6068 6084 6240 6253 6396 6560 6660 6760 6929 7104 7215 7380 7488 7585 7605 7696 7872 7995 8112 8320 8528 8658 8880 9102 9360 9466 9472 9594 9620 9840 9984 10140 10496 10656 10660 10816 11520 11544 11808 11840 12136 12168 12480 12506 12792 13120 13320 13520 13653 13858 14199 14208 14430 14760 14976 15170 15210 15392 15744 15990 16224 16640 17056 17316 17760 18204 18720 18759 18932 19188 19240 19680 19721 20280 20787 21312 21320 21632 21645 22755 23088 23616 23665 23680 23985 24272 24336 24960 25012 25584 26240 26640 27040 27306 27716 28398 28416 28860 29520 29952 30340 30420 30784 31265 31488 31980 32448 34112 34632 34645 35520 36408 37440 37518 37864 38376 38480 39360 39442 40560 41574 42597 42624 42640 43264 43290 45510 46176 47232 47330 47360 47970 48544 48672 49920 50024 51168 52480 53280 54080 54612 55432 56277 56796 57720 59040 59163 60680 60840 61529 61568 62361 62530 63960 64896 68224 68265 69264 69290 70995 71040 72816 74880 75036 75728 76752 76960 78720 78884 81120 83148 85194 85248 85280 86580 91020 92352 93795 94464 94660 95940 97088 97344 98605 100048 102336 103935 106560 108160 109224 110864 112554 113592 115440 118080 118326 121360 121680 123058 123136 124722 125060 127920 129792 136448 136530 138528 138580 141990 142080 145632 149760 150072 151456 153504 153920 157440 157768 162240 166296 170388 170560 173160 175121 177489 182040 184587 184704 187590 189320 191880 194053 194176 194688 197210 200096 204672 207870 212985 213120 216320 218448 221728 225108 227184 230880 236160 236652 242720 243360 246116 249444 250120 255840 256373 273060 277056 277160 281385 283980 291264 295815 300144 302912 307008 307645 307840 311805 315536 324480 332592 340776 341120 346320 350242 354978 364080 369174 369408 375180 378640 383760 388106 388352 389376 394420 400192 409344 415740 425970 426240 436896 443456 450216 454368 461760 472320 473304 485440 486720 492232 498888 500240 511680 512746 525363 546120 553761 554112 554320 562770 567960 582159 582528 591630 600288 605824 614016 615290 615680 623610 631072 648960 665184 681552 682240 692640 700484 709956 728160 738348 750360 757280 767520 769119 776212 788840 799877 800384 831480 851940 873792 875605 886912 887445 900432 908736 922935 923520 946608 970265 970880 973440 984464 997776 1000480 1023360 1025492 1050726 1092240 1107522 1108224 1108640 1125540 1135920 1164318 1165056 1183260 1200576 1211648 1228032 1230580 1247220 1262144 1281865 1330368 1363104 1385280 1400968 1419912 1456320 1476696 1500720 1514560 1535040 1538238 1552424 1576089 1577680 1599754 1600768 1662960 1703880 1746477 1747584 1751210 1773824 1774890 1800864 1817472 1845870 1847040 1893216 1940530 1941760 1946880 1968928 1995552 2000960 2046720 2050984 2101452 2184480 2215044 2217280 2251080 2271840 2276573 2307357 2328636 2366520 2399631 2401152 2461160 2494440 2522689 2524288 2563730 2626815 2660736 2726208 2768805 2770560 2801936 2839824 2910795 2912640 2953392 3001440 3029120 3070080 3076476 3104848 3152178 3155360 3199508 3325920 3407760 3492954 3495168 3502420 3549780 3601728 3634944 3691740 3786432 3845595 3881060 3937856 3991104 3999385 4001920 4101968 4202904 4368960 4430088 4434560 4502160 4543680 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10494386240 10654361640 10920720681 11200739160 11364652416 11806184520 11947455104 12134134090 12593263488 13113060480 13440886992 13785525120 14205815520 14530688640 14560960908 14934318880 15741579360 16542630144 16801108740 17046978624 17921182656 18201201135 18889895232 18941087360 19414614544 20678287680 20988772480 21308723280 21841441362 22401478320 22729304832 23612369040 23894910208 24268268180 25186526976 26226120960 26881773984 27571050240 28411631040 29061377280 29121921816 29868637760 31483158720 33602217480 34093957248 35842365312 36402402270 37779790464 37882174720 38829229088 41356575360 41977544960 42617446560 43682882724 44802956640 47224738080 48536536360 53763547968 54603603405 56823262080 58243843632 59737275520 62966317440 67204434960 68187914496 71684730624 72804804540 75559580928 77658458176 82713150720 85234893120 87365765448 89605913280 94449476160 97073072720 107527095936 109207206810 113646524160 116487687264 119474551040 125932634880 134408869920 145609609080 155316916352 170469786240 174731530896 179211826560 188898952320 194146145440 215054191872 218414413620 232975374528 268817739840 291219218160 310633832704 340939572480 349463061792 358423653120 377797904640 388292290880 436828827240 465950749056 537635479680 582438436320 698926123584 776584581760 873657654480 931901498112 1075270959360 1164876872640 1397852247168 1553169163520 1747315308960 2329753745280 2795704494336 3494630617920 4659507490560 6989261235840 13978522471680
- Sum of all divisors σ(n): 55109660192496
- Sum of proper divisors (its aliquot sum) s(n): 41131137720816
- 13978522471680 is an abundant number, because the sum of its proper divisors (41131137720816) is greater than itself. Its abundance is 27152615249136
Bases of 13978522471680
- Binary: 110010110110101000001101110111001101000000002
- Hexadecimal: 0xCB6A0DDCD00
- Base-36: 4YDN7D4W0
Squares and roots of 13978522471680
- 13978522471680 squared (139785224716802) is 195399090491262736402022400
- 13978522471680 cubed (139785224716803) is 2731390577377949971494678468998725632000
-
The
square root of 13978522471680 is 3738786.2297382021 -
The
cube root of 13978522471680 is 24089.0915960839
Scales and comparisons
How big is 13978522471680?- 13,978,522,471,680 seconds is equal to 444,473 years, 40 weeks, 2 days, 12 hours, 48 minutes.
-
To count from 1 to 13,978,522,471,680 would take you about one million, one hundred eleven thousand, one hundred eighty-four 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 13978522471680 cubic inches would be around 2007.4 feet tall.
Recreational maths with 13978522471680
- 13978522471680 backwards is 08617422587931
- The number of decimal digits it has is: 14
- The sum of 13978522471680's digits is 63
- More coming soon!
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The information we have on file for 13978522471680 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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