13001167628800
13,001,167,628,800 is an even composite number composed of six prime numbers multiplied together.
13001167628800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13001167628800:
29 × 52 × 13 × 172 × 53 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 17 × 53 × 5101)See below for interesting mathematical facts about the number 13001167628800 from the Numbermatics database.
Names of 13001167628800
- Cardinal: 13001167628800 can be written as Thirteen trillion, one billion, one hundred sixty-seven million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30011676288 × 1013
Factors of 13001167628800
Divisors of 13001167628800
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 53 64 65 68 80 85 100 104 106 128 130 136 160 170 200 208 212 221 256 260 265 272 289 320 325 340 400 416 424 425 442 512 520 530 544 578 640 650 680 689 800 832 848 850 884 901 1040 1060 1088 1105 1156 1280 1300 1325 1360 1378 1445 1600 1664 1696 1700 1768 1802 2080 2120 2176 2210 2312 2560 2600 2650 2720 2756 2890 3200 3328 3392 3400 3445 3536 3604 3757 4160 4240 4352 4420 4505 4624 5101 5200 5300 5440 5512 5525 5780 6400 6656 6784 6800 6890 7072 7208 7225 7514 8320 8480 8704 8840 9010 9248 10202 10400 10600 10880 11024 11050 11560 11713 12800 13568 13600 13780 14144 14416 14450 15028 15317 16640 16960 17225 17680 18020 18496 18785 20404 20800 21200 21760 22048 22100 22525 23120 23426 25505 27136 27200 27560 28288 28832 28900 30056 30634 33280 33920 34450 35360 36040 36992 37570 40808 41600 42400 43520 44096 44200 45050 46240 46852 51010 54400 55120 56576 57664 57800 58565 60112 61268 66313 67840 68900 70720 72080 73984 75140 76585 81616 83200 84800 86717 88192 88400 90100 92480 93704 93925 102020 108800 110240 113152 115328 115600 117130 120224 122536 127525 132626 135680 137800 141440 144160 147968 150280 153170 163232 166400 169600 173434 176384 176800 180200 184960 187408 187850 199121 204040 217600 220480 230656 231200 234260 240448 245072 255050 265252 270353 275600 282880 288320 292825 300560 306340 326464 331565 339200 346868 352768 353600 360400 369920 374816 375700 382925 398242 408080 433585 440960 461312 462400 468520 480896 490144 510100 530504 540706 551200 565760 576640 585650 601120 612680 652928 663130 678400 693736 707200 720800 739840 749632 751400 765850 796484 816160 867170 881920 924800 937040 961792 980288 995605 1020200 1061008 1081412 1102400 1127321 1153280 1171300 1202240 1225360 1305856 1326260 1351765 1387472 1414400 1441600 1474189 1499264 1502800 1531700 1592968 1632320 1657825 1734340 1763840 1849600 1874080 1923584 1960576 1991210 2040400 2122016 2162824 2167925 2204800 2254642 2306560 2342600 2404480 2450720 2611712 2652520 2703530 2774944 2828800 2883200 2948378 2998528 3005600 3063400 3185936 3264640 3315650 3468680 3514589 3699200 3748160 3921152 3982420 4080800 4244032 4325648 4335850 4409600 4509284 4596001 4685200 4808960 4901440 4978025 5305040 5407060 5549888 5636605 5766400 5896756 5997056 6011200 6126800 6371872 6529280 6631300 6758825 6937360 7029178 7370945 7496320 7842304 7964840 8161600 8488064 8651296 8671700 8819200 9018568 9192002 9370400 9617920 9802880 9956050 10610080 10814120 11099776 11273210 11532800 11793512 12022400 12253600 12743744 13058560 13262600 13517650 13874720 14058356 14741890 14992640 15929680 16323200 16976128 17302592 17343400 17572945 18037136 18384004 18740800 19164457 19605760 19912100 21220160 21628240 22199552 22546420 22980005 23587024 24044800 24507200 25487488 26525200 27035300 27749440 28116712 28183025 29483780 29985280 31859360 32646400 33952256 34605184 34686800 35145890 36074272 36768008 36854725 37481600 38328914 39211520 39824200 42440320 43256480 44399104 45092840 45960010 47174048 48089600 49014400 50974976 53050400 54070600 55498880 56233424 56366050 58967560 59748013 63718720 65292800 69210368 69373600 70291780 72148544 73536016 73709450 74963200 76657828 78132017 79648400 84880640 86512960 87864725 90185680 91920020 94348096 95822285 98028800 101949952 106100800 108141200 110997760 112466848 112732100 114900025 117935120 119496026 127437440 138420736 138747200 140583560 144297088 147072032 147418900 149926400 153315656 156264034 159296800 169761280 173025920 175729450 180371360 183840040 188696192 191644570 196057600 212201600 216282400 221995520 224933696 225464200 229800050 235870240 238992052 254874880 277494400 281167120 288594176 294144064 294837800 298740065 306631312 312528068 318593600 346051840 351458900 360742720 367680080 377392384 383289140 390660085 424403200 432564800 449867392 450928400 459600100 471740480 477984104 479111425 509749760 554988800 562334240 577188352 588288128 589675600 597480130 613262624 625056136 637187200 692103680 702917800 721485440 735360160 754784768 766578280 781320170 848806400 865129600 899734784 901856800 919200200 943480960 955968208 958222850 1015716221 1109977600 1124668480 1176576256 1179351200 1194960260 1226525248 1250112272 1274374400 1405835600 1442970880 1470720320 1493700325 1533156560 1562640340 1730259200 1799469568 1803713600 1838400400 1886961920 1911936416 1916445700 1953300425 2031432442 2249336960 2353152512 2358702400 2389920520 2453050496 2500224544 2548748800 2811671200 2885941760 2941440640 2987400650 3066313120 3125280680 3460518400 3607427200 3676800800 3773923840 3823872832 3832891400 3906600850 4062864884 4498673920 4717404800 4779841040 4906100992 5000449088 5078581105 5623342400 5882881280 5974801300 6132626240 6250561360 7214854400 7353601600 7647745664 7665782800 7813201700 8125729768 8997347840 9434809600 9559682080 9812201984 10000898176 10157162210 11246684800 11765762560 11949602600 12265252480 12501122720 14429708800 14707203200 15295491328 15331565600 15626403400 16251459536 18869619200 19119364160 20001796352 20314324420 22493369600 23899205200 24530504960 25002245440 25392905525 29414406400 30590982656 30663131200 31252806800 32502919072 38238728320 40003592704 40628648840 44986739200 47798410400 49061009920 50004490880 50785811050 58828812800 61326262400 62505613600 65005838144 76477456640 81257297680 95596820800 100008981760 101571622100 122652524800 125011227200 130011676288 152954913280 162514595360 191193641600 200017963520 203143244200 245305049600 250022454400 260023352576 325029190720 382387283200 406286488400 500044908800 520046705152 650058381440 764774566400 812572976800 1000089817600 1300116762880 1625145953600 2600233525760 3250291907200 6500583814400 13001167628800
- Sum of all divisors σ(n): 37552422006792
- Sum of proper divisors (its aliquot sum) s(n): 24551254377992
- 13001167628800 is an abundant number, because the sum of its proper divisors (24551254377992) is greater than itself. Its abundance is 11550086749192
Bases of 13001167628800
- Binary: 101111010011000100011111101001101010000000002
- Hexadecimal: 0xBD311FA6A00
- Base-36: 4LWNJIXOG
Squares and roots of 13001167628800
- 13001167628800 squared (130011676288002) is 169030359712157014589440000
- 13001167628800 cubed (130011676288003) is 2197592040974115463903076650319872000000
-
The
square root of 13001167628800 is 3605713.1928094337 -
The
cube root of 13001167628800 is 23514.0508269271
Scales and comparisons
How big is 13001167628800?- 13,001,167,628,800 seconds is equal to 413,396 years, 47 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,001,167,628,800 would take you about one million, thirty-three thousand, four hundred ninety-two 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 13001167628800 cubic inches would be around 1959.5 feet tall.
Recreational maths with 13001167628800
- 13001167628800 backwards is 00882676110031
- The number of decimal digits it has is: 14
- The sum of 13001167628800's digits is 43
- More coming soon!
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