13260978035942400
13,260,978,035,942,400 is an even composite number composed of six prime numbers multiplied together.
13260978035942400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred seventy-three divisors.
Prime factorization of 13260978035942400:
210 × 32 × 52 × 312 × 712 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 31 × 71 × 71 × 109 × 109)See below for interesting mathematical facts about the number 13260978035942400 from the Numbermatics database.
Names of 13260978035942400
- Cardinal: 13260978035942400 can be written as Thirteen quadrillion, two hundred sixty trillion, nine hundred seventy-eight billion, thirty-five million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.32609780359424 × 1016
Factors of 13260978035942400
Divisors of 13260978035942400
- Number of divisors d(n): 2673
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 71 72 75 80 90 93 96 100 109 120 124 128 142 144 150 155 160 180 186 192 200 213 218 225 240 248 256 279 284 288 300 310 320 327 355 360 372 384 400 426 436 450 465 480 496 512 545 558 568 576 600 620 639 640 654 710 720 744 768 775 800 852 872 900 930 960 961 981 992 1024 1065 1090 1116 1136 1152 1200 1240 1278 1280 1308 1395 1420 1440 1488 1536 1550 1600 1635 1704 1744 1775 1800 1860 1920 1922 1962 1984 2130 2180 2201 2232 2272 2304 2325 2400 2480 2556 2560 2616 2725 2790 2840 2880 2883 2976 3072 3100 3195 3200 3270 3379 3408 3488 3550 3600 3720 3840 3844 3924 3968 4260 4360 4402 4464 4544 4608 4650 4800 4805 4905 4960 5041 5112 5120 5232 5325 5450 5580 5680 5760 5766 5952 6200 6390 6400 6540 6603 6758 6816 6975 6976 7100 7200 7440 7680 7688 7739 7848 7936 8175 8520 8649 8720 8804 8928 9088 9216 9300 9600 9610 9810 9920 10082 10137 10224 10464 10650 10900 11005 11160 11360 11520 11532 11881 11904 12400 12780 12800 13080 13206 13516 13632 13950 13952 14200 14400 14415 14880 15123 15360 15376 15478 15696 15872 15975 16350 16895 17040 17298 17440 17608 17856 18176 18600 19200 19220 19620 19809 19840 20164 20274 20448 20928 21300 21800 22010 22320 22720 23040 23064 23217 23762 23808 24025 24525 24800 25205 25560 25600 26160 26412 27032 27264 27900 27904 28400 28800 28830 29760 30246 30411 30752 30956 31392 31744 31950 32700 33015 33790 34080 34596 34880 35216 35643 35712 36352 37200 38400 38440 38695 39240 39618 39680 40328 40548 40896 41856 42600 43245 43600 44020 44640 45369 45440 46080 46128 46434 47524 47616 48050 49050 49600 50410 50685 51120 52320 52824 54064 54528 55025 55800 55808 56800 57600 57660 59405 59520 60492 60822 61504 61912 62784 63900 65400 66030 67580 68160 68231 69192 69651 69760 70432 71286 71424 72075 72704 74400 75615 76800 76880 77390 78480 79236 79360 80656 81096 81792 83712 84475 85200 86490 87200 88040 89280 90738 90880 92256 92868 95048 95232 96100 98100 99045 99200 100820 101370 102240 104640 104749 105648 106929 108128 109056 110050 111600 111616 113600 115200 115320 116085 118810 119040 120984 121644 123008 123824 125568 126025 127800 130800 132060 135160 136320 136462 138384 139302 139520 140864 142572 142848 144150 148800 151230 152055 153760 154780 156271 156960 158472 158720 161312 162192 163584 165075 167424 168950 170400 172980 174400 176080 178215 178560 181476 181760 184512 185736 190096 192200 193475 196200 198090 198400 201640 202740 204480 204693 209280 209498 211296 213858 216225 216256 218112 220100 223200 226845 227200 230400 230640 232170 237620 238080 239909 241968 243288 246016 247648 251136 252050 253425 255600 261600 264120 270320 272640 272924 276768 278604 279040 281728 285144 285696 288300 297025 297600 302460 304110 307520 309560 312542 313920 314247 316944 322624 324384 327168 330150 334848 337900 340800 341155 345960 348255 348800 352160 356430 357120 362952 363520 368311 369024 371472 378075 380192 384400 386950 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10694337125760 11050815029952 11511265656200 11673396158400 11882596806400 12166034895360 12451622568960 12950173863225 13367921407200 13517816550400 13799144678400 13813518787440 14259116167680 14734420039936 15207543619200 15564528211200 16576222544928 17110939401216 17266898484300 17823895209600 18418025049920 18677433853440 20276724825600 20720278181160 20752704281600 21388674251520 22101630059904 23022531312400 23346792316800 23765193612800 24332069790720 25900347726450 26735842814400 27627037574880 28518232335360 29468840079872 30415087238400 31129056422400 33152445089856 34533796968600 35647790419200 36836050099840 37354867706880 40553449651200 41440556362320 42777348503040 44203260119808 46045062624800 46693584633600 47530387225600 51800695452900 53471685628800 55254075149760 58937680159744 60830174476800 62258112844800 66304890179712 69067593937200 71295580838400 73672100199680 82881112724640 85554697006080 88406520239616 92090125249600 93387169267200 103601390905800 106943371257600 110508150299520 121660348953600 132609780359424 138135187874400 142591161676800 147344200399360 165762225449280 176813040479232 184180250499200 186774338534400 207202781811600 213886742515200 221016300599040 265219560718848 276270375748800 294688400798720 331524450898560 368360500998400 414405563623200 427773485030400 442032601198080 530439121437696 552540751497600 663048901797120 736721001996800 828811127246400 884065202396160 1105081502995200 1326097803594240 1473442003993600 1657622254492800 2210163005990400 2652195607188480 3315244508985600 4420326011980800 6630489017971200 13260978035942400
- Sum of all divisors σ(n): 50223078855200979
- Sum of proper divisors (its aliquot sum) s(n): 36962100819258579
- 13260978035942400 is an abundant number, because the sum of its proper divisors (36962100819258579) is greater than itself. Its abundance is 23701122783316179
Bases of 13260978035942400
- Binary: 1011110001110011001010000011010011010011100100000000002
- Hexadecimal: 0x2F1CCA0D34E400
- Base-36: 3MKMH7IAKG0
Squares and roots of 13260978035942400
- 13260978035942400 squared (132609780359424002) is 175853538469746752626256117760000
- 13260978035942400 cubed (132609780359424003) is 2331989911190063573243250281574717166977024000000
-
13260978035942400 is a
perfect square number . Itssquare root is 115156320 -
The
cube root of 13260978035942400 is 236696.5086067687
Scales and comparisons
How big is 13260978035942400?- 13,260,978,035,942,400 seconds is equal to 421,658,082 years, 33 weeks, 3 days, 16 hours.
-
To count from 1 to 13,260,978,035,942,400 would take you about one billion, two hundred sixty-four million, nine hundred seventy-four thousand, two hundred forty-seven 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 13260978035942400 cubic inches would be around 19724.7 feet tall.
Recreational maths with 13260978035942400
- 13260978035942400 backwards is 00424953087906231
- The number of decimal digits it has is: 17
- The sum of 13260978035942400's digits is 63
- More coming soon!
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MLA style:
"Number 13260978035942400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 13260978035942400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13260978035942400/
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Numbermatics. 2024. "Number 13260978035942400 - Facts about the integer". https://numbermatics.com/n/13260978035942400/
The information we have on file for 13260978035942400 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!
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