13730966400
13,730,966,400 is an even composite number composed of seven prime numbers multiplied together.
13730966400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13730966400:
27 × 3 × 52 × 29 × 31 × 37 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 31 × 37 × 43)See below for interesting mathematical facts about the number 13730966400 from the Numbermatics database.
Names of 13730966400
- Cardinal: 13730966400 can be written as Thirteen billion, seven hundred thirty million, nine hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.37309664 × 1010
Factors of 13730966400
Divisors of 13730966400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 31 32 37 40 43 48 50 58 60 62 64 74 75 80 86 87 93 96 100 111 116 120 124 128 129 145 148 150 155 160 172 174 185 186 192 200 215 222 232 240 248 258 290 296 300 310 320 344 348 370 372 384 400 430 435 444 464 465 480 496 516 555 580 592 600 620 640 645 688 696 725 740 744 775 800 860 870 888 899 925 928 930 960 992 1032 1073 1075 1110 1147 1160 1184 1200 1240 1247 1290 1333 1376 1392 1450 1480 1488 1550 1591 1600 1720 1740 1776 1798 1850 1856 1860 1920 1984 2064 2146 2150 2175 2220 2294 2320 2325 2368 2400 2480 2494 2580 2666 2697 2752 2775 2784 2900 2960 2976 3100 3182 3200 3219 3225 3440 3441 3480 3552 3596 3700 3712 3720 3741 3968 3999 4128 4292 4300 4350 4440 4495 4588 4640 4650 4736 4773 4800 4960 4988 5160 5332 5365 5394 5504 5550 5568 5735 5800 5920 5952 6200 6235 6364 6438 6450 6665 6880 6882 6960 7104 7192 7400 7440 7482 7955 7998 8256 8584 8600 8700 8880 8990 9176 9280 9300 9546 9600 9920 9976 10320 10664 10730 10788 11100 11136 11470 11600 11840 11904 12400 12470 12728 12876 12900 13330 13485 13760 13764 13920 14208 14384 14800 14880 14964 15910 15996 16095 16512 17168 17200 17205 17400 17760 17980 18352 18560 18600 18705 19092 19840 19952 19995 20640 21328 21460 21576 22200 22475 22940 23200 23680 23865 24800 24940 25456 25752 25800 26660 26825 26970 27520 27528 27840 28675 28768 29600 29760 29928 31175 31820 31992 32190 33263 33325 34336 34400 34410 34800 35520 35960 36704 37200 37410 38184 38657 39775 39904 39990 41280 42656 42920 43152 44400 44950 45880 46139 46400 47730 49321 49600 49880 50912 51504 51600 53320 53650 53940 55056 55680 57350 57536 59200 59520 59856 62350 63640 63984 64380 66526 66650 67425 68672 68800 68820 69600 71040 71920 73408 74400 74820 76368 77314 79550 79808 79980 80475 82560 85312 85840 86025 86304 88800 89900 91760 92278 92800 93525 95460 98642 99200 99760 99789 99975 101824 103008 103200 106640 107300 107880 110112 114700 115072 115971 118400 119325 119712 124700 127280 127968 128760 133052 133300 134850 137344 137600 137640 138417 139200 143840 146816 147963 148800 149640 152736 154628 159100 159616 159960 160950 166315 170624 171680 172050 172608 177600 179800 183520 184556 187050 190920 193285 197284 199520 199578 199950 203648 206016 206400 213280 214600 215760 220224 229400 230695 231942 238650 239424 246605 249400 254560 255936 257520 266104 266600 269700 275280 276834 278400 287680 295926 297600 299280 305472 309256 318200 319920 321900 332630 343360 344100 345216 355200 359600 367040 369112 374100 381840 386570 394568 399040 399156 399900 412032 412800 426560 429200 431520 440448 458800 461390 463884 477300 478848 493210 498800 498945 509120 511872 515040 532208 533200 539400 550560 553668 575360 579855 591852 598560 610944 618512 636400 639840 643800 665260 686720 688200 692085 719200 734080 738224 739815 748200 763680 773140 789136 798080 798312 799800 831575 853120 858400 863040 917600 922780 927768 954600 966425 986420 997600 997890 1018240 1030080 1064416 1066400 1078800 1101120 1107336 1153475 1159710 1183704 1197120 1233025 1237024 1272800 1279680 1287600 1330520 1376400 1384170 1430309 1438400 1476448 1479630 1496400 1527360 1546280 1578272 1596624 1599600 1663150 1716800 1726080 1835200 1845560 1855536 1909200 1932850 1972840 1995200 1995780 2060160 2128832 2132800 2157600 2202240 2214672 2306950 2319420 2367408 2394240 2466050 2474048 2494725 2545600 2559360 2575200 2661040 2752800 2768340 2860618 2876800 2899275 2952896 2959260 2992800 3054720 3092560 3156544 3193248 3199200 3326300 3433600 3460425 3670400 3691120 3699075 3711072 3818400 3865700 3945680 3990400 3991560 4257664 4265600 4290927 4315200 4429344 4613900 4638840 4734816 4932100 4948096 4989450 5091200 5150400 5322080 5505600 5536680 5721236 5798550 5905792 5918520 5985600 6185120 6313088 6386496 6398400 6652600 6920850 7151545 7382240 7398150 7422144 7636800 7731400 7891360 7983120 8581854 8630400 8858688 9227800 9277680 9469632 9864200 9978900 10300800 10644160 11011200 11073360 11442472 11597100 11837040 11971200 12370240 12772992 12796800 13305200 13841700 14303090 14764480 14796300 14844288 15273600 15462800 15782720 15966240 17163708 17717376 18455600 18555360 18939264 19728400 19957800 21288320 21454635 22146720 22884944 23194200 23674080 24740480 26610400 27683400 28606180 29528960 29592600 30925600 31565440 31932480 34327416 35757725 36911200 37110720 39456800 39915600 42909270 44293440 45769888 46388400 47348160 53220800 55366800 57212360 59185200 61851200 63864960 68654832 71515450 73822400 74221440 78913600 79831200 85818540 88586880 91539776 92776800 94696320 106441600 107273175 110733600 114424720 118370400 123702400 137309664 143030900 147644800 157827200 159662400 171637080 183079552 185553600 214546350 221467200 228849440 236740800 274619328 286061800 319324800 343274160 371107200 429092700 442934400 457698880 473481600 549238656 572123600 686548320 858185400 915397760 1144247200 1373096640 1716370800 2288494400 2746193280 3432741600 4576988800 6865483200 13730966400
- Sum of all divisors σ(n): 50753894400
- Sum of proper divisors (its aliquot sum) s(n): 37022928000
- 13730966400 is an abundant number, because the sum of its proper divisors (37022928000) is greater than itself. Its abundance is 23291961600
Bases of 13730966400
- Binary: 11001100100110110111101011100000002
- Hexadecimal: 0x3326DEB80
- Base-36: 6B329HC
Squares and roots of 13730966400
- 13730966400 squared (137309664002) is 188539438277928960000
- 13730966400 cubed (137309664003) is 2588828692069116411346944000000
-
The
square root of 13730966400 is 117179.2063465187 -
The
cube root of 13730966400 is 2394.6039881435
Scales and comparisons
How big is 13730966400?- 13,730,966,400 seconds is equal to 436 years, 31 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 13,730,966,400 would take you about eight hundred seventy-three 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 13730966400 cubic inches would be around 199.6 feet tall.
Recreational maths with 13730966400
- 13730966400 backwards is 00466903731
- The number of decimal digits it has is: 11
- The sum of 13730966400's digits is 39
- More coming soon!
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