137432086528000
137,432,086,528,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137432086528000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
137432086528000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 137432086528000:
214 × 53 × 112 × 172 × 19 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 19 × 101)See below for interesting mathematical facts about the number 137432086528000 from the Numbermatics database.
Names of 137432086528000
- Cardinal: 137432086528000 can be written as One hundred thirty-seven trillion, four hundred thirty-two billion, eighty-six million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.37432086528 × 1014
Factors of 137432086528000
Divisors of 137432086528000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 19 20 22 25 32 34 38 40 44 50 55 64 68 76 80 85 88 95 100 101 110 121 125 128 136 152 160 170 176 187 190 200 202 209 220 242 250 256 272 275 289 304 320 323 340 352 374 380 400 404 418 425 440 475 484 500 505 512 544 550 578 605 608 640 646 680 704 748 760 800 808 836 850 880 935 950 968 1000 1010 1024 1045 1088 1100 1111 1156 1210 1216 1280 1292 1360 1375 1408 1445 1496 1520 1600 1615 1616 1672 1700 1717 1760 1870 1900 1919 1936 2000 2020 2048 2057 2090 2125 2176 2200 2222 2299 2312 2375 2420 2432 2525 2560 2584 2720 2750 2816 2890 2992 3025 3040 3179 3200 3230 3232 3344 3400 3434 3520 3553 3740 3800 3838 3872 4000 4040 4096 4114 4180 4250 4352 4400 4444 4598 4624 4675 4750 4840 4864 5050 5120 5168 5225 5440 5491 5500 5555 5632 5780 5984 6050 6080 6358 6400 6460 6464 6688 6800 6868 7040 7106 7225 7480 7600 7676 7744 8000 8075 8080 8192 8228 8360 8500 8585 8704 8800 8888 9196 9248 9350 9500 9595 9680 9728 10100 10240 10285 10336 10450 10880 10982 11000 11110 11264 11495 11560 11968 12100 12160 12221 12625 12716 12800 12920 12928 13376 13600 13736 14080 14212 14450 14960 15125 15200 15352 15488 15895 16000 16150 16160 16384 16456 16720 17000 17170 17408 17600 17765 17776 18392 18496 18700 18887 19000 19190 19360 19456 20200 20480 20570 20672 20900 21109 21760 21964 22000 22220 22528 22990 23120 23375 23936 24200 24320 24442 25250 25432 25600 25840 25856 26125 26752 27200 27455 27472 27775 28160 28424 28900 29189 29920 30250 30400 30704 30976 31790 32000 32300 32320 32623 32912 33440 34000 34340 34816 34969 35200 35530 35552 36125 36784 36992 37400 37774 38000 38380 38720 38912 39083 40375 40400 40960 41140 41344 41800 42218 42925 43520 43928 44000 44440 45056 45980 46240 46750 47872 47975 48400 48640 48884 50500 50864 51200 51425 51680 51712 52250 53504 54400 54910 54944 55550 56320 56848 57475 57800 58378 59840 60401 60500 60800 61105 61408 61952 63580 64000 64600 64640 65246 65824 66880 68000 68680 69632 69938 70400 71060 71104 72250 73568 73984 74800 75548 76000 76760 77440 77824 78166 79475 80750 80800 81920 82280 82688 83600 84436 85850 87040 87856 88000 88825 88880 90112 91960 92480 93500 94435 95744 95950 96800 97280 97768 101000 101728 102400 102850 103360 103424 104500 105545 107008 108800 109820 109888 111100 112640 113696 114950 115600 116756 119680 120802 121000 121600 122210 122816 123904 127160 128000 129200 129280 130492 131648 133760 136000 137275 137360 138875 139264 139876 140800 142120 142208 144500 145945 147136 147968 149600 151096 152000 153520 154880 155648 156332 158950 161500 161600 163115 164560 165376 167200 168872 171700 174080 174845 175712 176000 177650 177760 180224 183920 184960 187000 188870 191488 191900 193600 194560 195415 195536 202000 203456 204800 205700 206720 206848 207757 209000 211090 214016 214625 217600 219640 219776 222200 225280 227392 229900 231200 232199 233512 239360 239875 241604 242000 243200 244420 245632 247808 254320 256000 257125 258400 258560 260984 263296 267520 272000 274550 274720 277750 278528 279752 281600 284240 284416 287375 289000 291890 294272 295936 299200 302005 302192 304000 305525 307040 309760 311296 312664 317900 321079 323000 323200 326230 329120 330752 334400 337744 343400 348160 349690 351424 352000 355300 355520 358853 367840 369920 374000 377740 382976 383800 387200 389120 390830 391072 397375 404000 406912 409600 411400 413440 413696 415514 418000 422180 428032 429250 435200 439280 439552 444125 444400 450560 454784 459800 462400 464398 467024 472175 478720 479750 483208 484000 486400 488840 491264 495616 508640 512000 514250 516800 517120 521968 526592 527725 535040 544000 549100 549440 554591 555500 559504 563200 568480 568832 574750 578000 583780 588544 591872 598400 604010 604384 608000 611050 614080 619520 625328 635800 642158 646000 646400 652460 658240 661504 664411 668800 675488 686375 686800 696320 699380 702848 704000 710600 711040 717706 729725 735680 739840 748000 755480 765952 767600 774400 778240 781660 782144 794750 808000 813824 815575 822800 826880 827392 831028 836000 844360 856064 858500 870400 874225 878560 879104 888250 888800 901120 909568 919600 924800 928796 934048 944350 957440 959500 966416 968000 972800 977075 977680 982528 991232 1017280 1024000 1028500 1033600 1034240 1038785 1043936 1053184 1055450 1070080 1088000 1098200 1098880 1109182 1111000 1119008 1126400 1136960 1137664 1149500 1156000 1160995 1167560 1177088 1183744 1196800 1208020 1208768 1216000 1222100 1228160 1239040 1250656 1271600 1284316 1292000 1292800 1304920 1316480 1323008 1328822 1337600 1350976 1372750 1373600 1392640 1398760 1405696 1408000 1421200 1422080 1435412 1459450 1471360 1479680 1496000 1510025 1510960 1527625 1531904 1535200 1548800 1556480 1563320 1564288 1589500 1605395 1616000 1627648 1631150 1645600 1653760 1654784 1662056 1672000 1688720 1712128 1717000 1740800 1748450 1757120 1758208 1776500 1777600 1794265 1819136 1839200 1849600 1857592 1868096 1888700 1914880 1919000 1932832 1936000 1945600 1954150 1955360 1965056 1982464 2034560 2048000 2057000 2067200 2068480 2077570 2087872 2106368 2110900 2140160 2176000 2196400 2197760 2218364 2222000 2238016 2252800 2273920 2275328 2299000 2312000 2321990 2335120 2354176 2360875 2367488 2393600 2416040 2417536 2432000 2444200 2456320 2478080 2501312 2543200 2568632 2584000 2585600 2609840 2632960 2638625 2646016 2657644 2675200 2701952 2745500 2747200 2772955 2797520 2811392 2816000 2842400 2844160 2870824 2918900 2942720 2959360 2992000 3020050 3021920 3055250 3063808 3070400 3097600 3126640 3128576 3179000 3210790 3232000 3255296 3262300 3291200 3307520 3322055 3324112 3344000 3377440 3424256 3434000 3481600 3496900 3514240 3516416 3531869 3553000 3555200 3588530 3638272 3648625 3678400 3699200 3715184 3736192 3777400 3829760 3838000 3865664 3872000 3891200 3908300 3910720 3930112 3947383 4069120 4077875 4114000 4134400 4136960 4155140 4175744 4212736 4221800 4280320 4352000 4371125 4392800 4395520 4436728 4444000 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5318579200 5368440880 5403904000 5442854912 5622784000 5650990400 5679011840 5741648000 5879447552 5944294400 5977907200 6100501000 6185062400 6246913024 6257152000 6315812800 6510592000 6575697920 6648224000 6681190400 6710551100 6803568640 7063738000 7098764800 7161651200 7233267712 7276544000 7349309440 7430368000 7472384000 7731328000 7736115200 7808641280 7894766000 8004198400 8084240384 8219622400 8351488000 8388188875 8504460800 8509726720 8589505408 8646246400 8873456000 8952064000 9041584640 9086418944 9186636800 9510871040 9670144000 9760801600 10005248000 10105300480 10274528000 10630576000 10637158400 10736881760 10807808000 10885709824 11245568000 11301980800 11358023680 11483296000 11888588800 11955814400 12201002000 12370124800 12493826048 12514304000 12631625600 13151395840 13296448000 13362380800 13421102200 13607137280 14127476000 14197529600 14323302400 14466535424 14698618880 14860736000 14944768000 15462656000 15617282560 15789532000 16008396800 16168480768 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68035686400 68716043264 70987648000 71616512000 72332677120 73493094400 78086412800 80041984000 80842403840 82196224000 85044608000 85097267200 85895054080 90415846400 91866368000 95108710400 97608016000 99950608384 101053004800 106371584000 107368817600 113019808000 113580236800 118885888000 123701248000 124938260480 126316256000 131513958400 134211022000 136071372800 137432086528 141975296000 144665354240 146986188800 156172825600 161684807680 164392448000 170089216000 171790108160 180831692800 183732736000 195216032000 202106009600 212743168000 214737635200 226039616000 227160473600 237771776000 249876520960 252632512000 268422044000 272142745600 274864173056 283950592000 289330708480 312345651200 323369615360 328784896000 340178432000 343580216320 361663385600 367465472000 390432064000 404212019200 425486336000 429475270400 452079232000 475543552000 499753041920 505265024000 536844088000 549728346112 567901184000 624691302400 657569792000 680356864000 687160432640 723326771200 734930944000 780864128000 808424038400 858950540800 904158464000 1010530048000 1073688176000 1099456692224 1135802368000 1249382604800 1360713728000 1374320865280 1446653542400 1561728256000 1616848076800 1717901081600 1808316928000 2021060096000 2147376352000 2498765209600 2748641730560 3123456512000 3435802163200 3616633856000 4042120192000 4294752704000 5497283461120 6246913024000 6871604326400 7233267712000 8084240384000 8589505408000 12493826048000 13743208652800 17179010816000 27486417305600 34358021632000 68716043264000 137432086528000
- Sum of all divisors σ(n): 425776280136480
- Sum of proper divisors (its aliquot sum) s(n): 288344193608480
- 137432086528000 is an abundant number, because the sum of its proper divisors (288344193608480) is greater than itself. Its abundance is 150912107080480
Bases of 137432086528000
- Binary: 111110011111110011001101011001011000000000000002
- Hexadecimal: 0x7CFE66B2C000
- Base-36: 1CPRFFXDZ4
Squares and roots of 137432086528000
- 137432086528000 squared (1374320865280002) is 18887578407439679094784000000
- 137432086528000 cubed (1374320865280003) is 2595759309995634416294907401469952000000000
-
The
square root of 137432086528000 is 11723143.2017185561 -
The
cube root of 137432086528000 is 51605.5067095451
Scales and comparisons
How big is 137432086528000?- 137,432,086,528,000 seconds is equal to 4,369,915 years, 12 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 137,432,086,528,000 would take you about ten million, nine hundred twenty-four thousand, seven hundred eighty-eight 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 137432086528000 cubic inches would be around 4300.5 feet tall.
Recreational maths with 137432086528000
- 137432086528000 backwards is 000825680234731
- The number of decimal digits it has is: 15
- The sum of 137432086528000's digits is 49
- More coming soon!
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Cite this page
MLA style:
"Number 137432086528000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 137432086528000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137432086528000/
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Numbermatics. 2024. "Number 137432086528000 - Facts about the integer". https://numbermatics.com/n/137432086528000/
The information we have on file for 137432086528000 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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