11364107040
11,364,107,040 is an even composite number composed of seven prime numbers multiplied together.
11364107040 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 11364107040:
25 × 32 × 5 × 112 × 13 × 29 × 173
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 13 × 29 × 173)See below for interesting mathematical facts about the number 11364107040 from the Numbermatics database.
Names of 11364107040
- Cardinal: 11364107040 can be written as Eleven billion, three hundred sixty-four million, one hundred seven thousand and forty.
Scientific notation
- Scientific notation: 1.136410704 × 1010
Factors of 11364107040
Divisors of 11364107040
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 29 30 32 33 36 39 40 44 45 48 52 55 58 60 65 66 72 78 80 87 88 90 96 99 104 110 116 117 120 121 130 132 143 144 145 156 160 165 173 174 176 180 195 198 208 220 232 234 240 242 260 261 264 286 288 290 312 319 330 346 348 352 360 363 377 390 396 416 429 435 440 464 468 480 484 495 519 520 522 528 572 580 585 605 624 638 660 692 696 715 720 726 754 780 792 858 865 870 880 928 936 957 968 990 1038 1040 1044 1056 1089 1131 1144 1160 1170 1210 1248 1276 1287 1305 1320 1384 1392 1430 1440 1452 1508 1557 1560 1573 1584 1595 1716 1730 1740 1760 1815 1872 1885 1903 1914 1936 1980 2076 2080 2088 2145 2178 2249 2262 2288 2320 2340 2420 2552 2574 2595 2610 2640 2768 2784 2860 2871 2904 3016 3114 3120 3146 3168 3190 3393 3432 3460 3480 3509 3630 3744 3770 3806 3828 3872 3960 4147 4152 4176 4290 4356 4498 4524 4576 4640 4680 4719 4785 4840 5017 5104 5148 5190 5220 5280 5445 5536 5655 5709 5720 5742 5808 6032 6228 6240 6292 6380 6435 6747 6786 6864 6920 6960 7018 7260 7540 7612 7656 7785 7865 7920 8294 8304 8352 8580 8712 8996 9048 9360 9438 9515 9570 9680 10034 10208 10296 10380 10440 10527 10890 11245 11310 11418 11440 11484 11616 12064 12441 12456 12584 12760 12870 13494 13572 13728 13840 13920 14036 14157 14355 14520 15051 15080 15224 15312 15570 15730 15840 16588 16608 16965 17127 17160 17424 17545 17992 18096 18720 18876 19030 19140 19360 20068 20241 20592 20735 20760 20880 20933 21054 21780 22490 22620 22836 22880 22968 23595 24739 24882 24912 25085 25168 25520 25740 26988 27144 27680 28072 28314 28545 28710 29040 30102 30160 30448 30624 31140 31460 31581 33176 33735 33930 34254 34320 34848 35090 35984 36192 37323 37752 38060 38280 40136 40482 41184 41470 41520 41760 41866 42108 43560 44980 45153 45240 45617 45672 45936 47190 49478 49764 49824 50170 50336 51040 51480 52635 53976 54288 55187 56144 56628 57090 57420 58080 60204 60320 60896 62205 62280 62799 62920 63162 65221 66352 67470 67860 68508 68640 70180 70785 71968 74217 74646 75255 75504 76120 76560 80272 80964 82940 83040 83732 84216 85635 87120 89960 90306 90480 91234 91344 91872 94380 98956 99528 100340 101205 102960 104665 105270 107952 108576 110374 112288 113256 114180 114840 120408 123695 124410 124560 125598 125840 126324 130442 132704 134940 135720 136851 137016 140360 141570 148434 149292 150510 151008 152240 153120 157905 160544 161928 165561 165880 167464 168432 171270 174240 179920 180612 180960 182468 182688 186615 188397 188760 195663 197912 199056 200680 202410 205920 209330 210540 215904 220748 222651 225765 226512 228085 228360 229680 240816 247390 248820 249120 251196 251680 252648 260884 269880 271440 272129 273702 274032 275935 280720 283140 296868 298584 301020 304480 313995 315810 323856 326105 331122 331760 334928 336864 342540 359840 361224 364936 371085 373230 376794 377520 391326 395824 398112 401360 404820 410553 418660 421080 441496 445302 451530 453024 456170 456720 459360 481632 494780 496683 497640 502392 505296 521768 539760 542880 544258 547404 548064 551870 561440 566280 586989 593736 597168 602040 607057 627990 631620 647712 652210 662244 663520 669856 684255 685080 717431 722448 729872 742170 746460 753588 755040 782652 791648 802720 809640 816387 821106 827805 837320 842160 882992 890604 903060 912340 913440 941985 978315 989560 993366 995280 1004784 1010592 1043536 1079520 1088516 1094808 1103740 1113255 1132560 1173978 1187472 1194336 1204080 1214114 1255980 1263240 1304420 1324488 1360645 1368510 1370160 1434862 1444896 1459744 1484340 1492920 1507176 1565304 1619280 1632774 1642212 1655610 1674640 1684320 1765984 1781208 1806120 1821171 1824680 1883970 1956630 1979120 1986732 1990560 2009568 2052765 2087072 2152293 2177032 2189616 2207480 2226510 2265120 2347956 2374944 2408160 2428228 2449161 2483415 2511960 2526480 2608840 2648976 2721290 2737020 2740320 2869724 2934945 2968680 2985840 3014352 3035285 3130608 3238560 3265548 3284424 3311220 3349280 3562416 3587155 3612240 3642342 3649360 3767940 3913260 3958240 3973464 4081935 4105530 4304586 4354064 4379232 4414960 4453020 4695912 4856456 4898322 4966830 5023920 5052960 5217680 5297952 5442580 5463513 5474040 5739448 5869890 5937360 5971680 6028704 6070570 6261216 6456879 6531096 6568848 6622440 7124832 7174310 7224480 7284684 7298720 7535880 7826520 7891741 7946928 8163870 8211060 8609172 8708128 8829920 8906040 9105855 9391824 9712912 9796644 9933660 10047840 10435360 10761465 10885160 10927026 10948080 11478896 11739780 11874720 12141140 12245805 12913758 13062192 13137696 13244880 14348620 14569368 15071760 15653040 15783482 15893856 16327740 16422120 17218344 17812080 18211710 18783648 19425824 19593288 19867320 21522930 21770320 21854052 21896160 22957792 23479560 23675223 24282280 24491610 25827516 26124384 26489760 27317565 28697240 29138736 30143520 31306080 31566964 32284395 32655480 32844240 34436688 35624160 36423420 39186576 39458705 39734640 43045860 43540640 43708104 46959120 47350446 48564560 48983220 51655032 54635130 57394480 58277472 63133928 64568790 65310960 65688480 68873376 71025669 72846840 78373152 78917410 79469280 86091720 87416208 93918240 94700892 97129120 97966440 103310064 109270260 114788960 118376115 126267856 129137580 130621920 142051338 145693680 157834820 172183440 174832416 189401784 195932880 206620128 218540520 236752230 252535712 258275160 284102676 291387360 315669640 344366880 355128345 378803568 391865760 437081040 473504460 516550320 568205352 631339280 710256690 757607136 874162080 947008920 1033100640 1136410704 1262678560 1420513380 1894017840 2272821408 2841026760 3788035680 5682053520 11364107040
- Sum of all divisors σ(n): 47762310960
- Sum of proper divisors (its aliquot sum) s(n): 36398203920
- 11364107040 is an abundant number, because the sum of its proper divisors (36398203920) is greater than itself. Its abundance is 25034096880
Bases of 11364107040
- Binary: 10101001010101101010000011001000002
- Hexadecimal: 0x2A55A8320
- Base-36: 57XW940
Squares and roots of 11364107040
- 11364107040 squared (113641070402) is 129142928816577561600
- 11364107040 cubed (113641070403) is 1467594066530687936484593664000
-
The
square root of 11364107040 is 106602.5658227793 -
The
cube root of 11364107040 is 2248.2526047705
Scales and comparisons
How big is 11364107040?- 11,364,107,040 seconds is equal to 361 years, 17 weeks, 6 days, 24 minutes.
-
To count from 1 to 11,364,107,040 would take you about seven hundred twenty-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 11364107040 cubic inches would be around 187.4 feet tall.
Recreational maths with 11364107040
- 11364107040 backwards is 04070146311
- The number of decimal digits it has is: 11
- The sum of 11364107040's digits is 27
- More coming soon!
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