10149384960
10,149,384,960 is an even composite number composed of seven prime numbers multiplied together.
10149384960 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 10149384960:
28 × 32 × 5 × 11 × 13 × 61 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 61 × 101)See below for interesting mathematical facts about the number 10149384960 from the Numbermatics database.
Names of 10149384960
- Cardinal: 10149384960 can be written as Ten billion, one hundred forty-nine million, three hundred eighty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.014938496 × 1010
Factors of 10149384960
Divisors of 10149384960
- 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 30 32 33 36 39 40 44 45 48 52 55 60 61 64 65 66 72 78 80 88 90 96 99 101 104 110 117 120 122 128 130 132 143 144 156 160 165 176 180 183 192 195 198 202 208 220 234 240 244 256 260 264 286 288 303 305 312 320 330 352 360 366 384 390 396 404 416 429 440 468 480 488 495 505 520 528 549 572 576 585 606 610 624 640 660 671 704 715 720 732 768 780 792 793 808 832 858 880 909 915 936 960 976 990 1010 1040 1056 1098 1111 1144 1152 1170 1212 1220 1248 1280 1287 1313 1320 1342 1408 1430 1440 1464 1515 1560 1584 1586 1616 1664 1716 1760 1818 1830 1872 1920 1952 1980 2013 2020 2080 2112 2145 2196 2222 2288 2304 2340 2379 2424 2440 2496 2574 2626 2640 2684 2745 2816 2860 2880 2928 3030 3120 3168 3172 3232 3328 3333 3355 3432 3520 3636 3660 3744 3840 3904 3939 3960 3965 4026 4040 4160 4224 4290 4392 4444 4545 4576 4680 4758 4848 4880 4992 5148 5252 5280 5368 5490 5555 5720 5760 5856 6039 6060 6161 6240 6336 6344 6435 6464 6565 6666 6710 6864 7040 7137 7272 7320 7488 7808 7878 7920 7930 8052 8080 8320 8448 8580 8723 8784 8888 9090 9152 9360 9516 9696 9760 9984 9999 10065 10296 10504 10560 10736 10980 11110 11440 11520 11712 11817 11895 12078 12120 12322 12480 12672 12688 12870 12928 13130 13332 13420 13728 14080 14274 14443 14544 14640 14976 15616 15756 15840 15860 16104 16160 16640 16665 17160 17446 17568 17776 18180 18304 18483 18720 19032 19392 19520 19695 19998 20130 20592 21008 21120 21472 21960 22220 22880 23424 23634 23790 24156 24240 24644 24960 25344 25376 25740 25856 26169 26260 26664 26840 27456 28548 28886 29088 29280 29952 30195 30805 31512 31680 31720 32208 32320 33330 34320 34892 35136 35552 35685 36360 36608 36966 37440 38064 38784 39040 39390 39996 40260 41184 42016 42240 42944 43329 43615 43920 44440 45760 46848 47268 47580 48312 48480 49288 49920 49995 50752 51480 52338 52520 53328 53680 54912 55449 57096 57772 58176 58560 59085 60390 61610 63024 63360 63440 64416 64640 66660 67771 68640 69784 70272 71104 71370 72215 72720 73932 74880 76128 77568 78080 78507 78780 79992 80093 80520 82368 84032 85888 86658 87230 87840 88880 91520 92415 94536 95160 96624 96960 98576 99990 101504 102960 104676 105040 106656 107360 109824 110898 114192 115544 116352 117120 118170 120780 123220 126048 126720 126880 128832 129280 129987 130845 133320 135542 137280 139568 140544 142208 142740 144430 145440 147864 149760 152256 157014 157560 159984 160186 161040 164736 168064 171776 173316 174460 175680 177760 183040 184830 189072 190320 193248 193920 197152 199980 203008 203313 205920 209352 210080 213312 214720 216645 221796 228384 231088 232704 234240 236340 240279 241560 246440 252096 253760 257664 259974 261690 266640 271084 274560 277245 279136 284416 285480 288860 290880 295728 304512 314028 315120 319968 320372 322080 329472 336128 338855 346632 348920 351360 355520 369660 378144 380640 386496 387840 392535 394304 399960 400465 406626 411840 418704 420160 426624 429440 433290 443592 456768 462176 472680 480558 483120 492880 504192 507520 515328 519948 523380 533280 542168 549120 554490 558272 570960 577720 581760 591456 609024 609939 628056 630240 639936 640744 644160 649935 677710 693264 697840 702720 711040 720837 739320 756288 761280 772992 785070 788608 799920 800930 813252 823680 837408 840320 853248 858880 866580 881023 887184 913536 924352 945360 961116 966240 985760 1008384 1015040 1016565 1039896 1046760 1066560 1084336 1108980 1116544 1141920 1155440 1163520 1182912 1201395 1219878 1256112 1260480 1279872 1281488 1288320 1299870 1355420 1386528 1395680 1422080 1441674 1478640 1512576 1522560 1545984 1570140 1577216 1599840 1601860 1626504 1647360 1674816 1680640 1733160 1762046 1774368 1827072 1848704 1890720 1922232 1932480 1971520 2033130 2079792 2093520 2133120 2168672 2217960 2233088 2283840 2310880 2365824 2402790 2439756 2512224 2520960 2559744 2562976 2576640 2599740 2643069 2710840 2773056 2791360 2883348 2957280 3025152 3045120 3049695 3140280 3199680 3203720 3253008 3349632 3466320 3524092 3548736 3604185 3697408 3781440 3844464 3864960 3943040 4066260 4159584 4187040 4266240 4337344 4405115 4435920 4567680 4621760 4731648 4805580 4879512 5024448 5041920 5125952 5199480 5286138 5421680 5546112 5582720 5766696 5914560 6099390 6280560 6399360 6407440 6506016 6699264 6932640 7048184 7097472 7208370 7562880 7688928 7729920 7886080 7929207 8132520 8319168 8374080 8674688 8810230 8871840 9135360 9243520 9611160 9759024 10048896 10251904 10398960 10572276 10843360 11092224 11165440 11533392 11829120 12198780 12561120 12798720 12814880 13012032 13215345 13865280 14096368 14194944 14416740 15125760 15377856 15858414 16265040 16638336 16748160 17349376 17620460 17743680 18487040 19222320 19518048 20097792 20503808 20797920 21144552 21686720 23066784 23658240 24397560 25122240 25629760 26024064 26430690 27730560 28192736 28833480 30755712 31716828 32530080 33276672 33496320 35240920 35487360 38444640 39036096 39646035 41595840 42289104 43373440 46133568 48795120 50244480 51259520 52048128 52861380 55461120 56385472 57666960 61511424 63433656 65060160 70481840 70974720 76889280 78072192 79292070 83191680 84578208 86746880 92267136 97590240 100488960 102519040 105722760 112770944 115333920 126867312 130120320 140963680 153778560 156144384 158584140 166383360 169156416 184534272 195180480 211445520 225541888 230667840 253734624 260240640 281927360 307557120 317168280 338312832 390360960 422891040 461335680 507469248 563854720 634336560 676625664 780721920 845782080 922671360 1014938496 1127709440 1268673120 1691564160 2029876992 2537346240 3383128320 5074692480 10149384960
- Sum of all divisors σ(n): 42346414656
- Sum of proper divisors (its aliquot sum) s(n): 32197029696
- 10149384960 is an abundant number, because the sum of its proper divisors (32197029696) is greater than itself. Its abundance is 22047644736
Bases of 10149384960
- Binary: 10010111001111001101010011000000002
- Hexadecimal: 0x25CF35300
- Base-36: 4NUOJK0
Squares and roots of 10149384960
- 10149384960 squared (101493849602) is 103010015066274201600
- 10149384960 cubed (101493849603) is 1045488297643016784955047936000
-
The
square root of 10149384960 is 100744.1559595395 -
The
cube root of 10149384960 is 2165.1097135879
Scales and comparisons
How big is 10149384960?- 10,149,384,960 seconds is equal to 322 years, 37 weeks, 2 days, 17 hours, 36 minutes.
-
To count from 1 to 10,149,384,960 would take you about six hundred forty-five 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 10149384960 cubic inches would be around 180.4 feet tall.
Recreational maths with 10149384960
- 10149384960 backwards is 06948394101
- 10149384960 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10149384960's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 10149384960 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 10149384960 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/10149384960/
Chicago style:
Numbermatics. 2024. "Number 10149384960 - Facts about the integer". https://numbermatics.com/n/10149384960/
The information we have on file for 10149384960 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!
Keywords: Divisors of 10149384960, math, Factors of 10149384960, curriculum, school, college, exams, university, Prime factorization of 10149384960, STEM, science, technology, engineering, physics, economics, calculator, ten billion, one hundred forty-nine million, three hundred eighty-four thousand, nine hundred sixty.