137227225006080
137,227,225,006,080 is an even composite number composed of five prime numbers multiplied together.
What does the number 137227225006080 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
137227225006080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137227225006080:
226 × 37 × 5 × 11 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 17)See below for interesting mathematical facts about the number 137227225006080 from the Numbermatics database.
Names of 137227225006080
- Cardinal: 137227225006080 can be written as One hundred thirty-seven trillion, two hundred twenty-seven billion, two hundred twenty-five million, six thousand and eighty.
Scientific notation
- Scientific notation: 1.3722722500608 × 1014
Factors of 137227225006080
Divisors of 137227225006080
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 32 33 34 36 40 44 45 48 51 54 55 60 64 66 68 72 80 81 85 88 90 96 99 102 108 110 120 128 132 135 136 144 153 160 162 165 170 176 180 187 192 198 204 216 220 240 243 255 256 264 270 272 288 297 306 320 324 330 340 352 360 374 384 396 405 408 432 440 459 480 486 495 510 512 528 540 544 561 576 594 612 640 648 660 680 704 720 729 748 765 768 792 810 816 864 880 891 918 935 960 972 990 1020 1024 1056 1080 1088 1122 1152 1188 1215 1224 1280 1296 1320 1360 1377 1408 1440 1458 1485 1496 1530 1536 1584 1620 1632 1683 1728 1760 1782 1836 1870 1920 1944 1980 2040 2048 2112 2160 2176 2187 2244 2295 2304 2376 2430 2448 2560 2592 2640 2673 2720 2754 2805 2816 2880 2916 2970 2992 3060 3072 3168 3240 3264 3366 3456 3520 3564 3645 3672 3740 3840 3888 3960 4080 4096 4131 4224 4320 4352 4374 4455 4488 4590 4608 4752 4860 4896 5049 5120 5184 5280 5346 5440 5508 5610 5632 5760 5832 5940 5984 6120 6144 6336 6480 6528 6732 6885 6912 7040 7128 7290 7344 7480 7680 7776 7920 8019 8160 8192 8262 8415 8448 8640 8704 8748 8910 8976 9180 9216 9504 9720 9792 10098 10240 10368 10560 10692 10880 10935 11016 11220 11264 11520 11664 11880 11968 12240 12288 12393 12672 12960 13056 13365 13464 13770 13824 14080 14256 14580 14688 14960 15147 15360 15552 15840 16038 16320 16384 16524 16830 16896 17280 17408 17496 17820 17952 18360 18432 19008 19440 19584 20196 20480 20655 20736 21120 21384 21760 21870 22032 22440 22528 23040 23328 23760 23936 24057 24480 24576 24786 25245 25344 25920 26112 26730 26928 27540 27648 28160 28512 29160 29376 29920 30294 30720 31104 31680 32076 32640 32768 33048 33660 33792 34560 34816 34992 35640 35904 36720 36864 37179 38016 38880 39168 40095 40392 40960 41310 41472 42240 42768 43520 43740 44064 44880 45056 45441 46080 46656 47520 47872 48114 48960 49152 49572 50490 50688 51840 52224 53460 53856 55080 55296 56320 57024 58320 58752 59840 60588 61440 61965 62208 63360 64152 65280 65536 66096 67320 67584 69120 69632 69984 71280 71808 73440 73728 74358 75735 76032 77760 78336 80190 80784 81920 82620 82944 84480 85536 87040 87480 88128 89760 90112 90882 92160 93312 95040 95744 96228 97920 98304 99144 100980 101376 103680 104448 106920 107712 110160 110592 112640 114048 116640 117504 119680 120285 121176 122880 123930 124416 126720 128304 130560 131072 132192 134640 135168 136323 138240 139264 139968 142560 143616 146880 147456 148716 151470 152064 155520 156672 160380 161568 163840 165240 165888 168960 171072 174080 174960 176256 179520 180224 181764 184320 185895 186624 190080 191488 192456 195840 196608 198288 201960 202752 207360 208896 213840 215424 220320 221184 225280 227205 228096 233280 235008 239360 240570 242352 245760 247860 248832 253440 256608 261120 262144 264384 269280 270336 272646 276480 278528 279936 285120 287232 293760 294912 297432 302940 304128 311040 313344 320760 323136 327680 330480 331776 337920 342144 348160 349920 352512 359040 360448 363528 368640 371790 373248 380160 382976 384912 391680 393216 396576 403920 405504 408969 414720 417792 427680 430848 440640 442368 450560 454410 456192 466560 470016 478720 481140 484704 491520 495720 497664 506880 513216 522240 524288 528768 538560 540672 545292 552960 557056 559872 570240 574464 587520 589824 594864 605880 608256 622080 626688 641520 646272 655360 660960 663552 675840 681615 684288 696320 699840 705024 718080 720896 727056 737280 743580 746496 760320 765952 769824 783360 786432 793152 807840 811008 817938 829440 835584 855360 861696 881280 884736 901120 908820 912384 933120 940032 957440 962280 969408 983040 991440 995328 1013760 1026432 1044480 1048576 1057536 1077120 1081344 1090584 1105920 1114112 1119744 1140480 1148928 1175040 1179648 1189728 1211760 1216512 1244160 1253376 1283040 1292544 1310720 1321920 1327104 1351680 1363230 1368576 1392640 1399680 1410048 1436160 1441792 1454112 1474560 1487160 1492992 1520640 1531904 1539648 1566720 1572864 1586304 1615680 1622016 1635876 1658880 1671168 1710720 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100902371328 103960018944 105885204480 107208769536 112113745920 112944218112 115511132160 119120855040 122305904640 126127964160 127062245376 129950023680 134010961920 134536495104 138613358592 141180272640 142945026048 146767085568 149484994560 154014842880 155940028416 158827806720 168170618880 169416327168 173266698240 178681282560 179381993472 183458856960 188240363520 190593368064 194925035520 201804742656 207920037888 211770408960 214417539072 224227491840 231022264320 238241710080 244611809280 252255928320 254124490752 259900047360 268021923840 269072990208 277226717184 282360545280 285890052096 298969989120 311880056832 317655613440 336341237760 338832654336 346533396480 357362565120 366917713920 381186736128 389850071040 403609485312 415840075776 423540817920 428835078144 448454983680 462044528640 476483420160 504511856640 508248981504 519800094720 536043847680 538145980416 564721090560 571780104192 623760113664 635311226880 672682475520 693066792960 714725130240 733835427840 762373472256 779700142080 807218970624 831680151552 847081635840 857670156288 896909967360 952966840320 1009023713280 1016497963008 1039600189440 1072087695360 1143560208384 1247520227328 1270622453760 1345364951040 1386133585920 1429450260480 1524746944512 1559400284160 1614437941248 1694163271680 1715340312576 1905933680640 2018047426560 2079200378880 2144175390720 2287120416768 2495040454656 2541244907520 2690729902080 2858900520960 3049493889024 3118800568320 3430680625152 3811867361280 4036094853120 4158400757760 4288350781440 4574240833536 5082489815040 5717801041920 6237601136640 6861361250304 7623734722560 8072189706240 8576701562880 9148481667072 11435602083840 12475202273280 13722722500608 15247469445120 17153403125760 22871204167680 27445445001216 34306806251520 45742408335360 68613612503040 137227225006080
- Sum of all divisors σ(n): 570543451349760
- Sum of proper divisors (its aliquot sum) s(n): 433316226343680
- 137227225006080 is an abundant number, because the sum of its proper divisors (433316226343680) is greater than itself. Its abundance is 296089001337600
Bases of 137227225006080
- Binary: 111110011001110101101000000000000000000000000002
- Hexadecimal: 0x7CCEB4000000
- Base-36: 1CN5BEO000
Squares and roots of 137227225006080
- 137227225006080 squared (1372272250060802) is 18831311282869308056036966400
- 137227225006080 cubed (1372272250060803) is 2584168590573839554799942789470944755712000
-
The
square root of 137227225006080 is 11714402.4604791515 -
The
cube root of 137227225006080 is 51579.8522444537
Scales and comparisons
How big is 137227225006080?- 137,227,225,006,080 seconds is equal to 4,363,401 years, 14 weeks, 5 days, 4 hours, 48 minutes.
-
To count from 1 to 137,227,225,006,080 would take you about ten million, nine hundred eight thousand, five 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 137227225006080 cubic inches would be around 4298.3 feet tall.
Recreational maths with 137227225006080
- 137227225006080 backwards is 080600522722731
- 137227225006080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137227225006080's digits is 45
- More coming soon!
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"Number 137227225006080 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 137227225006080 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/137227225006080/
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The information we have on file for 137227225006080 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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