138446798172852000
138,446,798,172,852,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138446798172852000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138446798172852000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138446798172852000:
25 × 3 × 53 × 133 × 433 × 2572
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 43 × 43 × 43 × 257 × 257)See below for interesting mathematical facts about the number 138446798172852000 from the Numbermatics database.
Names of 138446798172852000
- Cardinal: 138446798172852000 can be written as One hundred thirty-eight quadrillion, four hundred forty-six trillion, seven hundred ninety-eight billion, one hundred seventy-two million, eight hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38446798172852 × 1017
Factors of 138446798172852000
Divisors of 138446798172852000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 43 48 50 52 60 65 75 78 80 86 96 100 104 120 125 129 130 150 156 160 169 172 195 200 208 215 240 250 257 258 260 300 312 325 338 344 375 390 400 416 430 480 500 507 514 516 520 559 600 624 645 650 676 688 750 771 780 800 845 860 975 1000 1014 1028 1032 1040 1075 1118 1200 1248 1285 1290 1300 1352 1376 1500 1542 1560 1625 1677 1690 1720 1849 1950 2000 2028 2056 2064 2080 2150 2197 2236 2400 2535 2570 2580 2600 2704 2795 3000 3084 3120 3225 3250 3341 3354 3380 3440 3698 3855 3900 4000 4056 4112 4128 4225 4300 4394 4472 4875 5070 5140 5160 5200 5375 5408 5547 5590 6000 6168 6240 6425 6450 6500 6591 6682 6708 6760 6880 7267 7396 7710 7800 8112 8224 8385 8450 8600 8788 8944 9245 9750 10023 10140 10280 10320 10400 10750 10985 11051 11094 11180 12000 12336 12675 12850 12900 13000 13182 13364 13416 13520 13975 14534 14792 15420 15600 16125 16224 16705 16770 16900 17200 17576 17888 18490 19275 19500 20046 20280 20560 20640 21125 21500 21801 21970 22102 22188 22360 24037 24672 25350 25700 25800 26000 26364 26728 26832 27040 27735 27950 29068 29584 30840 31200 32125 32250 32955 33153 33410 33540 33800 34400 35152 36335 36980 38550 39000 40092 40560 41120 41925 42250 43000 43433 43602 43940 44204 44376 44720 46225 48074 50115 50700 51400 51600 52000 52728 53456 53664 54925 55255 55470 55900 58136 59168 61680 63375 64250 64500 65910 66049 66306 66820 67080 67600 69875 70304 72111 72670 73960 77100 78000 79507 80184 81120 83525 83850 84500 86000 86866 87204 87880 88408 88752 89440 92450 94471 96148 96375 100230 101400 102800 103200 105456 106912 109005 109850 110510 110940 111800 116272 120185 123360 126750 128500 129000 130299 131820 132098 132612 133640 134160 135200 138675 139750 143663 144222 145340 147920 154200 156000 159014 160368 164775 165765 167050 167700 169000 172000 173732 174408 175760 176816 177504 181675 184900 188942 192296 192750 198147 200460 202800 205600 209625 210912 217165 218010 219700 221020 221880 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2100543137200 2146461987176 2154813979344 2184564862688 2244597895150 2339893154625 2381429719500 2476686908280 2495886031600 2505597650400 2520651764640 2579882196125 2589920648250 2625678921500 2662438426401 2683077483970 2693517474180 2730706078360 2762582024800 2879868498000 2995063237920 3095858635350 3119857539500 3131997063000 3150814705800 3175239626000 3187594644000 3219692980764 3276847294032 3302249211040 3366896842725 3413382597950 3453227531000 3549917901868 3591356632240 3743829047400 3810287551200 3938518382250 4024616225955 4096059117540 4127811513800 4143873037200 4175996084000 4201086274400 4292923974352 4309627958688 4437397377335 4489195790300 4679786309250 4762859439000 4953373816560 4991772063200 5120073896925 5159764392250 5179841296500 5251357843000 5324876852802 5366154967940 5387034948360 5461412156720 5611494737875 5759736996000 6191717270700 6239715079000 6263994126000 6301629411600 6350479252000 6439385961528 6553694588064 6707693709925 6733793685450 6826765195900 6906455062000 7099835803736 7182713264480 7487658094800 7739646588375 7877036764500 8049232451910 8192118235080 8255623027600 8287746074400 8533456494875 8585847948704 8874794754670 8978391580600 9359572618500 9525718878000 9906747633120 10240147793850 10319528784500 10359682593000 10502715686000 10649753705604 10732309935880 10774069896720 10922824313440 11222989475750 11537233181071 12383434541400 12479430158000 12527988252000 12603258823200 12878771923056 13312192132005 13415387419850 13467587370900 13653530391800 13812910124000 14199671607472 14975316189600 15479293176750 15754073529000 16098464903820 16384236470160 16511246055200 16834484213625 17066912989750 17749589509340 17956783161200 18719145237000 19051437756000 20123081129775 20480295587700 20639057569000 20719365186000 21005431372000 21299507411208 21464619871760 21548139793440 22186986886675 22445978951500 23074466362142 24766869082800 24958860316000 25600369484625 25757543846112 26624384264010 26830774839700 26935174741800 27307060783600 28399343214944 30958586353500 31508147058000 32196929807640 32768472940320 33538468549625 33668968427250 34133825979500 34611699543213 35499179018680 35913566322400 37438290474000 40246162259550 40960591175400 41278115138000 41438730372000 42599014822416 42929239743520 44373973773350 44891957903000 46148932724284 49533738165600 51200738969250 53248768528020 53661549679400 53870349483600 54614121567200 57686165905355 61917172707000 63016294116000 64393859615280 66560960660025 67076937099250 67337936854500 68267651959000 69223399086426 70998358037360 74876580948000 80492324519100 81921182350800 82556230276000 85198029644832 88747947546700 89783915806000 92297865448568 100615405648875 102401477938500 106497537056040 107323099358800 107740698967200 110934934433375 115372331810710 123834345414000 128787719230560 133121921320050 134153874198500 134675873709000 136535303918000 138446798172852 141996716074720 160984649038200 163842364701600 173058497716065 177495895093400 179567831612000 184595730897136 201230811297750 204802955877000 212995074112080 214646198717600 221869868866750 230744663621420 247668690828000 266243842640100 268307748397000 269351747418000 273070607836000 276893596345704 288430829526775 321969298076400 332804803300125 346116995432130 354991790186800 369191461794272 402461622595500 409605911754000 425990148224160 443739737733500 461489327242840 532487685280200 536615496794000 538703494836000 553787192691408 576861659053550 643938596152800 665609606600250 692233990864260 709983580373600 804923245191000 819211823508000 865292488580325 887479475467000 922978654485680 1064975370560400 1073230993588000 1107574385382816 1153723318107100 1331219213200500 1384467981728520 1442154147633875 1609846490382000 1730584977160650 1774958950934000 1845957308971360 2129950741120800 2307446636214200 2662438426401000 2768935963457040 2884308295267750 3219692980764000 3461169954321300 3549917901868000 4326462442901625 4614893272428400 5324876852802000 5537871926914080 5768616590535500 6922339908642600 8652924885803250 9229786544856800 10649753705604000 11537233181071000 13844679817285200 17305849771606500 23074466362142000 27689359634570400 34611699543213000 46148932724284000 69223399086426000 138446798172852000
- Sum of all divisors σ(n): 504993607005888000
- Sum of proper divisors (its aliquot sum) s(n): 366546808833036000
- 138446798172852000 is an abundant number, because the sum of its proper divisors (366546808833036000) is greater than itself. Its abundance is 228100010660184000
Bases of 138446798172852000
- Binary: 1111010111101110010100001001000010110001000001111001000002
- Hexadecimal: 0x1EBDCA121620F20
- Base-36: 11V7AL1TPSTC
Squares and roots of 138446798172852000
- 138446798172852000 squared (1384467981728520002) is 19167515924314415885669813904000000
- 138446798172852000 cubed (1384467981728520003) is 2653681208648484687160915234934478064934208000000000
-
The
square root of 138446798172852000 is 372084396.5726754309 -
The
cube root of 138446798172852000 is 517322.0288361645
Scales and comparisons
How big is 138446798172852000?- 138,446,798,172,852,000 seconds is equal to 4,402,179,937 years, 43 weeks, 1 day, 23 hours, 20 minutes.
-
To count from 1 to 138,446,798,172,852,000 would take you about thirteen billion, two hundred six million, five hundred thirty-nine thousand, eight hundred thirteen 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 138446798172852000 cubic inches would be around 43110.2 feet tall.
Recreational maths with 138446798172852000
- 138446798172852000 backwards is 000258271897644831
- 138446798172852000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138446798172852000's digits is 75
- More coming soon!
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"Number 138446798172852000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138446798172852000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138446798172852000/
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The information we have on file for 138446798172852000 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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