152009048131200
152,009,048,131,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 152009048131200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
152009048131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 152009048131200:
27 × 38 × 52 × 13 × 17 × 1812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 17 × 181 × 181)See below for interesting mathematical facts about the number 152009048131200 from the Numbermatics database.
Names of 152009048131200
- Cardinal: 152009048131200 can be written as One hundred fifty-two trillion, nine billion, forty-eight million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.520090481312 × 1014
Factors of 152009048131200
Divisors of 152009048131200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 81 85 90 96 100 102 104 108 117 120 128 130 135 136 144 150 153 156 160 162 170 180 181 192 195 200 204 208 216 221 225 234 240 243 255 260 270 272 288 300 306 312 320 324 325 340 351 360 362 384 390 400 405 408 416 425 432 442 450 459 468 480 486 510 520 540 543 544 576 585 600 612 624 640 648 650 663 675 680 702 720 724 729 765 780 800 810 816 832 850 864 884 900 905 918 936 960 972 975 1020 1040 1053 1080 1086 1088 1105 1152 1170 1200 1215 1224 1248 1275 1296 1300 1326 1350 1360 1377 1404 1440 1448 1458 1530 1560 1600 1620 1629 1632 1664 1700 1728 1755 1768 1800 1810 1836 1872 1920 1944 1950 1989 2025 2040 2080 2106 2160 2172 2176 2187 2210 2295 2340 2353 2400 2430 2448 2496 2550 2592 2600 2652 2700 2715 2720 2754 2808 2880 2896 2916 2925 3060 3077 3120 3159 3200 3240 3258 3264 3315 3400 3456 3510 3536 3600 3620 3645 3672 3744 3825 3888 3900 3978 4050 4080 4131 4160 4212 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89417087136 91351591425 93142799100 93314332800 93832745760 95005655082 97441697520 99352319040 104258606400 104978624400 105561838980 108268552800 110391465600 111771358920 112599294912 114637291200 116930037024 117290932200 119222782848 121802121900 124190398800 125110327680 126674206776 129922263360 131952298725 137564749440 139714198650 139971499200 140749118640 144358070400 146162546280 149028478560 155906716032 156387909600 158342758470 162402829200 165587198400 167965799040 168898942368 171955936800 175936398300 178834174272 182703182850 186285598200 187665491520 190011310164 194883395040 198704638080 208517212800 209957248800 211123677960 216537105600 223542717840 225198589824 229274582400 233860074048 234581864400 237514137705 243604243800 248380797600 253348413552 259844526720 263904597450 279428397300 279942998400 281498237280 292325092560 298056957120 312775819200 316685516940 324805658400 331174396800 337797884736 343911873600 351872796600 357668348544 365406365700 372571196400 375330983040 380022620328 389766790080 395856896175 419914497600 422247355920 433074211200 447085435680 467720148096 469163728800 475028275410 487208487600 496761595200 506696827104 527809194900 558856794600 562996474560 584650185120 596113914240 625551638400 633371033880 649611316800 675595769472 687823747200 703745593200 730812731400 745142392800 760045240656 779533580160 791713792350 839828995200 844494711840 894170871360 938327457600 950056550820 974416975200 993523190400 1013393654208 1055618389800 1117713589200 1125992949120 1169300370240 1187570688525 1266742067760 1299222633600 1407491186400 1461625462800 1490284785600 1520090481312 1583427584700 1688989423680 1788341742720 1876654915200 1900113101640 1948833950400 2026787308416 2111236779600 2235427178400 2338600740480 2375141377050 2533484135520 2814982372800 2923250925600 2980569571200 3040180962624 3166855169400 3377978847360 3800226203280 3897667900800 4222473559200 4470854356800 4750282754100 5066968271040 5629964745600 5846501851200 6080361925248 6333710338800 7600452406560 8444947118400 8941708713600 9500565508200 10133936542080 11693003702400 12667420677600 15200904813120 16889894236800 19001131016400 25334841355200 30401809626240 38002262032800 50669682710400 76004524065600 152009048131200
- Sum of all divisors σ(n): 645810041019780
- Sum of proper divisors (its aliquot sum) s(n): 493800992888580
- 152009048131200 is an abundant number, because the sum of its proper divisors (493800992888580) is greater than itself. Its abundance is 341791944757380
Bases of 152009048131200
- Binary: 1000101001000000010111010101000100000110100000002
- Hexadecimal: 0x8A405D510680
- Base-36: 1HVRZQI000
Squares and roots of 152009048131200
- 152009048131200 squared (1520090481312002) is 23106750713753478212413440000
- 152009048131200 cubed (1520090481312003) is 3512435181402592423402165138273763328000000
-
The
square root of 152009048131200 is 12329194.9506526987 -
The
cube root of 152009048131200 is 53369.0919029105
Scales and comparisons
How big is 152009048131200?- 152,009,048,131,200 seconds is equal to 4,833,417 years, 27 weeks, 6 days.
-
To count from 1 to 152,009,048,131,200 would take you about twelve million, eighty-three thousand, five hundred forty-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 152009048131200 cubic inches would be around 4447.4 feet tall.
Recreational maths with 152009048131200
- 152009048131200 backwards is 002131840900251
- 152009048131200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 152009048131200's digits is 36
- More coming soon!
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"Number 152009048131200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 152009048131200 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/152009048131200/
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The information we have on file for 152009048131200 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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