138185848152352000
138,185,848,152,352,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138185848152352000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
138185848152352000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138185848152352000:
28 × 53 × 73 × 113 × 13 × 8532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 853 × 853)See below for interesting mathematical facts about the number 138185848152352000 from the Numbermatics database.
Names of 138185848152352000
- Cardinal: 138185848152352000 can be written as One hundred thirty-eight quadrillion, one hundred eighty-five trillion, eight hundred forty-eight billion, one hundred fifty-two million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38185848152352 × 1017
Factors of 138185848152352000
Divisors of 138185848152352000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 104 110 112 121 125 128 130 140 143 154 160 175 176 182 196 200 208 220 224 242 245 250 256 260 275 280 286 308 320 325 343 350 352 364 385 392 400 416 440 448 455 484 490 500 520 539 550 560 572 605 616 637 640 650 686 700 704 715 728 770 784 800 832 847 853 875 880 896 910 968 980 1000 1001 1040 1078 1100 1120 1144 1210 1225 1232 1274 1280 1300 1331 1372 1375 1400 1408 1430 1456 1540 1568 1573 1600 1625 1664 1694 1706 1715 1750 1760 1792 1820 1925 1936 1960 2000 2002 2080 2156 2200 2240 2275 2288 2420 2450 2464 2548 2600 2662 2695 2744 2750 2800 2816 2860 2912 3025 3080 3136 3146 3185 3200 3250 3328 3388 3412 3430 3500 3520 3575 3640 3773 3850 3872 3920 4000 4004 4160 4235 4265 4312 4400 4459 4480 4550 4576 4840 4900 4928 5005 5096 5200 5324 5390 5488 5500 5600 5720 5824 5929 5971 6050 6125 6160 6272 6292 6370 6400 6500 6655 6776 6824 6860 7000 7007 7040 7150 7280 7546 7700 7744 7840 7865 8000 8008 8320 8470 8530 8575 8624 8800 8918 8960 9100 9152 9317 9383 9625 9680 9800 9856 10010 10192 10400 10648 10780 10976 11000 11011 11089 11200 11375 11440 11648 11858 11942 12100 12250 12320 12544 12584 12740 13000 13310 13475 13552 13648 13720 14000 14014 14080 14300 14560 15092 15125 15400 15488 15680 15730 15925 16000 16016 16640 16940 17060 17150 17248 17303 17600 17836 17875 18200 18304 18634 18766 18865 19250 19360 19600 19712 20020 20384 20800 21175 21296 21325 21560 21952 22000 22022 22178 22295 22400 22750 22880 23296 23716 23884 24200 24500 24640 25025 25168 25480 26000 26620 26950 27104 27296 27440 28000 28028 28600 29120 29645 29855 30184 30250 30800 30976 31360 31460 31850 32000 32032 33275 33880 34120 34300 34496 34606 35035 35200 35672 35750 36400 36608 37268 37532 37730 38500 38720 39200 39325 40040 40768 41503 41600 41797 42350 42592 42650 42875 43120 43904 44000 44044 44356 44590 44800 45500 45760 46585 46915 47432 47768 48400 49000 49049 49280 50050 50336 50960 52000 53240 53900 54208 54592 54880 55055 55445 56000 56056 57200 58240 59290 59710 60368 60500 61600 62720 62920 63700 64064 65219 65681 66550 67375 67760 68240 68600 68992 69212 70070 70400 71344 71500 72800 74536 75064 75460 77000 77077 77440 77623 78400 78650 79625 80080 81536 83006 83200 83594 84700 85184 85300 85750 86240 86515 87808 88000 88088 88712 89180 91000 91520 93170 93830 94325 94864 95536 96800 98000 98098 98560 100100 100672 101920 103213 104000 105875 106480 106625 107800 108416 109184 109760 110110 110890 111475 112000 112112 114400 116480 118580 119420 120736 121000 121121 121979 123200 125125 125840 127400 128128 130438 131362 133100 134750 135520 136480 137200 137984 138424 140140 142688 143000 145600 148225 149072 149275 150128 150920 154000 154154 154880 155246 156800 157300 159250 160160 163072 166012 166375 167188 169400 170368 170600 171500 172480 173030 175175 176000 176176 177424 178360 182000 183040 186340 187660 188650 189728 191072 193600 196000 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112804774001920 114203180291200 120791825308000 123380221564600 125623498320320 128187243184000 132871007838800 138047800352000 138185848152352 141005967502400 142753975364000 151852580387200 154225276955750 157029372900400 157926683602688 161999821984000 163147400416000 166088759798500 172732310190440 176257459378000 179462140457600 189815725484000 193266920492800 196286716125500 197408354503360 201437096432000 212593612542080 215915387738050 216932257696000 224327675572000 228406360582400 241583650616000 246760443129200 251246996640640 256374486368000 265742015677600 276371696304704 282011935004800 285507950728000 303705160774400 308450553911500 314058745800800 332177519597000 345464620380880 352514918756000 358924280915200 379631450968000 392573432251000 394816709006720 402874192864000 425187225084160 431830775476100 448655351144000 483167301232000 493520886258400 502493993281280 531484031355200 539788469345125 552743392609408 564023870009600 571015901456000 616901107823000 628117491601600 664355039194000 690929240761760 705029837512000 759262901936000 785146864502000 789633418013440 863661550952200 897310702288000 966334602464000 987041772516800 1062968062710400 1079576938690250 1105486785218816 1142031802912000 1233802215646000 1256234983203200 1328710078388000 1381858481523520 1410059675024000 1518525803872000 1570293729004000 1727323101904400 1794621404576000 1974083545033600 2125936125420800 2159153877380500 2467604431292000 2512469966406400 2657420156776000 2763716963047040 2820119350048000 3140587458008000 3454646203808800 3948167090067200 4318307754761000 4935208862584000 5314840313552000 5527433926094080 6281174916016000 6909292407617600 8636615509522000 9870417725168000 10629680627104000 12562349832032000 13818584815235200 17273231019044000 19740835450336000 27637169630470400 34546462038088000 69092924076176000 138185848152352000
- Sum of all divisors σ(n): 476082371115187200
- Sum of proper divisors (its aliquot sum) s(n): 337896522962835200
- 138185848152352000 is an abundant number, because the sum of its proper divisors (337896522962835200) is greater than itself. Its abundance is 199710674810483200
Bases of 138185848152352000
- Binary: 1111010101110111101001011111110000001101101100101000000002
- Hexadecimal: 0x1EAEF4BF81B6500
- Base-36: 11SMSM9L1GXS
Squares and roots of 138185848152352000
- 138185848152352000 squared (1381858481523520002) is 19095328629584884652203131904000000
- 138185848152352000 cubed (1381858481523520003) is 2638704182427076681021391196942546143838208000000000
-
The
square root of 138185848152352000 is 371733571.4626162199 -
The
cube root of 138185848152352000 is 516996.8013853713
Scales and comparisons
How big is 138185848152352000?- 138,185,848,152,352,000 seconds is equal to 4,393,882,534 years, 18 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,185,848,152,352,000 would take you about thirteen billion, one hundred eighty-one million, six hundred forty-seven thousand, six hundred three 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 138185848152352000 cubic inches would be around 43083.1 feet tall.
Recreational maths with 138185848152352000
- 138185848152352000 backwards is 000253251848581831
- 138185848152352000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138185848152352000's digits is 64
- More coming soon!
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MLA style:
"Number 138185848152352000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138185848152352000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138185848152352000/
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Numbermatics. 2024. "Number 138185848152352000 - Facts about the integer". https://numbermatics.com/n/138185848152352000/
The information we have on file for 138185848152352000 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 138185848152352000, math, Factors of 138185848152352000, curriculum, school, college, exams, university, Prime factorization of 138185848152352000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred eighty-five trillion, eight hundred forty-eight billion, one hundred fifty-two million, three hundred fifty-two thousand.