12338309984
12,338,309,984 is an even composite number composed of six prime numbers multiplied together.
12338309984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 12338309984:
25 × 7 × 112 × 13 × 192 × 97
(2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 19 × 19 × 97)See below for interesting mathematical facts about the number 12338309984 from the Numbermatics database.
Names of 12338309984
- Cardinal: 12338309984 can be written as Twelve billion, three hundred thirty-eight million, three hundred nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.2338309984 × 1010
Factors of 12338309984
Divisors of 12338309984
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 19 22 26 28 32 38 44 52 56 76 77 88 91 97 104 112 121 133 143 152 154 176 182 194 208 209 224 242 247 266 286 304 308 352 361 364 388 416 418 484 494 532 572 608 616 679 722 728 776 836 847 968 988 1001 1064 1067 1144 1232 1261 1358 1444 1456 1463 1552 1573 1672 1694 1729 1843 1936 1976 2002 2128 2134 2288 2299 2464 2522 2527 2716 2717 2888 2912 2926 3104 3146 3344 3388 3458 3686 3872 3952 3971 4004 4256 4268 4576 4598 4693 5044 5054 5432 5434 5776 5852 6292 6688 6776 6916 7372 7469 7904 7942 8008 8536 8827 9196 9386 10088 10108 10864 10868 11011 11552 11704 11737 12584 12901 13552 13832 13871 14744 14938 15884 16016 16093 17072 17654 18392 18772 19019 20176 20216 20273 21728 21736 22022 23408 23474 23959 25168 25802 27104 27664 27742 27797 29488 29876 29887 31768 32032 32186 32851 34144 35017 35308 36784 37544 38038 40352 40432 40546 43472 43681 44044 46816 46948 47918 50336 51604 51623 55328 55484 55594 58976 59752 59774 63536 64372 65702 70034 70616 73568 75088 76076 80864 81092 82159 86944 87362 88088 93896 95836 97097 103208 103246 110968 111188 119504 119548 127072 128744 131404 140068 141232 141911 150176 152152 152581 162184 164318 167713 174724 176176 187792 191672 194194 206416 206492 209209 221936 222376 223003 239008 239096 245119 257488 262808 263549 280136 282464 283822 304304 305162 305767 324368 328636 335426 349448 352352 361361 375584 383344 385187 388388 412832 412984 418418 443872 444752 446006 455221 478192 490238 514976 525616 527098 560272 567644 567853 608608 610324 611534 648736 657272 670852 698896 722722 766688 770374 776776 825968 836836 889504 892012 910442 956384 980476 1051232 1054196 1068067 1120544 1135288 1135706 1220648 1223068 1314544 1341704 1397792 1445444 1540748 1553552 1561021 1651936 1673672 1784024 1820884 1844843 1960952 2108392 2136134 2270576 2271412 2441296 2446136 2629088 2683408 2696309 2890888 2899039 3081496 3107104 3122042 3186547 3347344 3568048 3641768 3689686 3921904 3974971 4216784 4237057 4272268 4541152 4542824 4882592 4892272 5007431 5366816 5392618 5781776 5798078 6162992 6244084 6373094 6694688 7136096 7283536 7379372 7843808 7949942 8433568 8474114 8544536 9085648 9784544 10014862 10785236 11563552 11596156 12325984 12488168 12746188 14567072 14758744 15899884 16948228 17089072 18171296 20029724 20293273 21570472 23192312 24976336 25492376 29517488 29659399 31799768 33896456 34178144 35052017 40059448 40586546 43140944 46384624 49952672 50984752 55081741 59034976 59318798 63599536 67792912 70104034 80118896 81173092 86281888 92769248 101969504 110163482 118637596 127199072 135585824 140208068 160237792 162346184 220326964 237275192 280416136 324692368 385572187 440653928 474550384 560832272 649384736 771144374 881307856 949100768 1121664544 1542288748 1762615712 3084577496 6169154992 12338309984
- Sum of all divisors σ(n): 35039771424
- Sum of proper divisors (its aliquot sum) s(n): 22701461440
- 12338309984 is an abundant number, because the sum of its proper divisors (22701461440) is greater than itself. Its abundance is 10363151456
Bases of 12338309984
- Binary: 10110111110110101110101011011000002
- Hexadecimal: 0x2DF6BAB60
- Base-36: 5O1WSWW
Squares and roots of 12338309984
- 12338309984 squared (123383099842) is 152233893261274080256
- 12338309984 cubed (123383099843) is 1878308965128768304983022075904
-
The
square root of 12338309984 is 111077.9455337557 -
The
cube root of 12338309984 is 2310.7443104129
Scales and comparisons
How big is 12338309984?- 12,338,309,984 seconds is equal to 392 years, 16 weeks, 4 days, 12 hours, 19 minutes, 44 seconds.
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To count from 1 to 12,338,309,984 would take you about seven 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 12338309984 cubic inches would be around 192.6 feet tall.
Recreational maths with 12338309984
- 12338309984 backwards is 48990383321
- The number of decimal digits it has is: 11
- The sum of 12338309984's digits is 50
- More coming soon!
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