13384919536705440
13,384,919,536,705,440 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13384919536705440 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
13384919536705440 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13384919536705440:
25 × 35 × 5 × 31 × 37 × 83 × 599 × 6037
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 37 × 83 × 599 × 6037)See below for interesting mathematical facts about the number 13384919536705440 from the Numbermatics database.
Names of 13384919536705440
- Cardinal: 13384919536705440 can be written as Thirteen quadrillion, three hundred eighty-four trillion, nine hundred nineteen billion, five hundred thirty-six million, seven hundred five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.338491953670544 × 1016
Factors of 13384919536705440
Divisors of 13384919536705440
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 37 40 45 48 54 60 62 72 74 80 81 83 90 93 96 108 111 120 124 135 144 148 155 160 162 166 180 185 186 216 222 240 243 248 249 270 279 288 296 310 324 332 333 360 370 372 405 415 432 444 465 480 486 496 498 540 555 558 592 599 620 648 664 666 720 740 744 747 810 830 837 864 888 930 972 992 996 999 1080 1110 1116 1147 1184 1198 1215 1240 1245 1296 1328 1332 1395 1440 1480 1488 1494 1620 1660 1665 1674 1776 1797 1860 1944 1992 1998 2160 2220 2232 2241 2294 2396 2430 2480 2490 2511 2573 2592 2656 2664 2790 2960 2976 2988 2995 2997 3071 3240 3320 3330 3348 3441 3552 3594 3720 3735 3888 3984 3996 4185 4320 4440 4464 4482 4588 4792 4860 4960 4980 4995 5022 5146 5328 5391 5580 5735 5920 5976 5990 5994 6037 6142 6480 6640 6660 6696 6723 6882 7188 7440 7470 7533 7719 7776 7968 7992 8370 8880 8928 8964 8985 8991 9176 9213 9584 9720 9960 9990 10044 10292 10323 10656 10782 11160 11205 11470 11952 11980 11988 12074 12284 12555 12865 12960 13280 13320 13392 13446 13764 14376 14880 14940 14985 15066 15355 15438 15984 16173 16740 17205 17760 17928 17970 17982 18111 18352 18426 18569 19168 19440 19920 19980 20088 20169 20584 20646 21564 22163 22320 22410 22940 23157 23904 23960 23976 24148 24568 25110 25730 26640 26784 26892 26955 27528 27639 28752 29880 29970 30132 30185 30710 30876 30969 31968 32346 33480 33615 34410 35856 35940 35964 36222 36704 36852 37138 37665 38595 38880 39840 39960 40176 40338 41168 41292 43128 44326 44640 44820 44955 45880 46065 46314 47920 47952 48296 48519 49136 49717 50220 51460 51615 53280 53784 53910 54333 55056 55278 55707 57504 59760 59940 60264 60370 61420 61752 61938 64692 66489 66960 67230 68820 69471 71712 71880 71928 72444 73704 74276 75330 77190 79920 80352 80676 80865 82336 82584 82917 86256 88652 89640 89910 90555 91760 92130 92628 92845 92907 95201 95840 95904 96592 97038 98272 99434 100440 100845 102920 103230 107568 107820 108666 110112 110556 110815 111414 115785 119520 119880 120528 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1332628388760 1339831785456 1343867423364 1377049335052 1396590101910 1452829646880 1458687830940 1488701983840 1489696108704 1493186025960 1499206937355 1507310758638 1599154066512 1674789731820 1679834279205 1721311668815 1734022481760 1776837851680 1791823231152 1799048324826 1862120135880 1944917107920 1990914701280 1998942583140 2009747678184 2015801135046 2065574002578 2179244470320 2217147513120 2233052975760 2234544163056 2239779038940 2260966137957 2333900529504 2398731099768 2482826847840 2512184597730 2601033722640 2665256777520 2679663570912 2687734846728 2698572487239 2754098670104 2793180203820 2917375661880 2986372051920 2998413874710 3014621517276 3098361003867 3198308133024 3349579463640 3359668558410 3442623337630 3583646462304 3598096649652 3724240271760 3768276896595 3889834215840 3997885166280 4019495356368 4031602270092 4131148005156 4358488940640 4466105951520 4469088326112 4479558077880 4497620812065 4521932275914 4797462199536 5024369195460 5039502837615 5163935006445 5202067445280 5330513555040 5375469693456 5397144974478 5508197340208 5586360407640 5834751323760 5972744103840 5996827749420 6029243034552 6196722007734 6699158927280 6719337116820 6885246675260 7196193299304 7448480543520 7536553793190 7995770332560 8038990712736 8063204540184 8262296010312 8959116155760 8995241624130 9043864551828 9295083011601 9594924399072 10048738390920 10079005675230 10327870012890 10750939386912 10794289948956 11016394680416 11172720815280 11304830689785 11669502647520 11993655498840 12058486069104 12393444015468 13398317854560 13438674233640 13492862436195 13770493350520 14392386598608 15073107586380 15491805019335 15991540665120 16126409080368 16524592020624 17918232311520 17990483248260 18087729103656 18590166023202 20097476781840 20158011350460 20655740025780 21588579897912 22345441630560 22609661379570 23987310997680 24116972138208 24786888030936 26877348467280 26985724872390 27540986701040 27885249034803 28784773197216 30146215172760 30983610038670 32252818160736 33049184041248 35980966496520 36175458207312 37180332046404 40194953563680 40316022700920 41311480051560 43177159795824 45219322759140 46475415058005 47974621995360 49573776061872 53754696934560 53971449744780 55081973402080 55770498069606 60292430345520 61967220077340 71961932993040 72350916414624 74360664092808 80632045401840 82622960103120 83655747104409 86354319591648 90438645518280 92950830116010 99147552123744 107942899489560 111540996139212 120584860691040 123934440154680 139426245174015 143923865986080 148721328185616 161264090803680 165245920206240 167311494208818 180877291036560 185901660232020 215885798979120 223081992278424 247868880309360 278852490348030 297442656371232 334622988417636 361754582073120 371803320464040 418278735522045 431771597958240 446163984556848 495737760618720 557704980696060 669245976835272 743606640928080 836557471044090 892327969113696 1115409961392120 1338491953670544 1487213281856160 1673114942088180 2230819922784240 2676983907341088 3346229884176360 4461639845568480 6692459768352720 13384919536705440
- Sum of all divisors σ(n): 50915545790054400
- Sum of proper divisors (its aliquot sum) s(n): 37530626253348960
- 13384919536705440 is an abundant number, because the sum of its proper divisors (37530626253348960) is greater than itself. Its abundance is 24145706716643520
Bases of 13384919536705440
- Binary: 1011111000110110000011011011100101010100011111101000002
- Hexadecimal: 0x2F8D836E551FA0
- Base-36: 3NSK35BRU00
Squares and roots of 13384919536705440
- 13384919536705440 squared (133849195367054402) is 179156071004078970571449325593600
- 13384919536705440 cubed (133849195367054403) is 2397989594901883607617678630971724648816349184000
-
The
square root of 13384919536705440 is 115693213.0105540805 -
The
cube root of 13384919536705440 is 237431.6377897441
Scales and comparisons
How big is 13384919536705440?- 13,384,919,536,705,440 seconds is equal to 425,599,038 years, 51 weeks, 4 days, 8 hours, 24 minutes.
-
To count from 1 to 13,384,919,536,705,440 would take you about one billion, two hundred seventy-six million, seven hundred ninety-seven thousand, one hundred sixteen 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 13384919536705440 cubic inches would be around 19786 feet tall.
Recreational maths with 13384919536705440
- 13384919536705440 backwards is 04450763591948331
- 13384919536705440 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13384919536705440's digits is 72
- More coming soon!
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"Number 13384919536705440 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 13384919536705440 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13384919536705440/
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The information we have on file for 13384919536705440 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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