137268756230922240
137,268,756,230,922,240 is an even composite number composed of seven prime numbers multiplied together.
137268756230922240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 137268756230922240:
213 × 3 × 5 × 37 × 412 × 1492 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 37 × 41 × 41 × 149 × 149 × 809)See below for interesting mathematical facts about the number 137268756230922240 from the Numbermatics database.
Names of 137268756230922240
- Cardinal: 137268756230922240 can be written as One hundred thirty-seven quadrillion, two hundred sixty-eight trillion, seven hundred fifty-six billion, two hundred thirty million, nine hundred twenty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3726875623092224 × 1017
Factors of 137268756230922240
Divisors of 137268756230922240
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 41 48 60 64 74 80 82 96 111 120 123 128 148 149 160 164 185 192 205 222 240 246 256 296 298 320 328 370 384 410 444 447 480 492 512 555 592 596 615 640 656 740 745 768 809 820 888 894 960 984 1024 1110 1184 1192 1230 1280 1312 1480 1490 1517 1536 1618 1640 1681 1776 1788 1920 1968 2048 2220 2235 2368 2384 2427 2460 2560 2624 2960 2980 3034 3072 3236 3280 3362 3552 3576 3840 3936 4045 4096 4440 4470 4551 4736 4768 4854 4920 5043 5120 5248 5513 5920 5960 6068 6109 6144 6472 6560 6724 7104 7152 7585 7680 7872 8090 8192 8405 8880 8940 9102 9472 9536 9708 9840 10086 10240 10496 11026 11840 11920 12135 12136 12218 12288 12944 13120 13448 14208 14304 15170 15360 15744 16180 16539 16810 17760 17880 18204 18327 18944 19072 19416 19680 20172 20480 20992 22052 22201 22755 23680 23840 24270 24272 24436 24576 25215 25888 26240 26896 27565 28416 28608 29933 30340 30545 30720 31488 32360 33078 33169 33620 35520 35760 36408 36654 37888 38144 38832 39360 40344 40960 41984 44104 44402 45510 47360 47680 48540 48544 48872 50430 51776 52480 53792 55130 56832 57216 59866 60680 61090 61440 62197 62976 64720 66156 66338 66603 67240 71040 71520 72816 73308 75776 76288 77664 78720 80688 82695 83968 88208 88804 89799 91020 91635 94720 95360 97080 97088 97744 99507 100860 103552 104960 107584 110260 111005 113664 114432 119732 120541 121360 122180 122880 124394 125952 129440 132312 132676 133206 134480 142080 143040 145632 146616 149665 151552 152576 155328 157440 161376 165390 165845 167936 176416 177608 179598 182040 183270 186591 189440 190720 194160 194176 195488 199014 201720 207104 209920 215168 220520 222010 226033 227328 228864 239464 241082 242720 244360 248788 250469 251904 258880 264624 265352 266412 268960 284160 286080 291264 293232 299330 303104 305152 310656 310985 314880 322752 330780 331690 333015 335872 352832 355216 359196 361623 364080 366540 373182 378880 381440 388320 388352 390976 398028 403440 414208 419840 430336 441040 444020 448995 452066 454656 457728 478928 482164 485440 488720 497535 497576 500938 503808 517760 529248 530704 532824 537920 568320 572160 582528 586464 598660 602705 610304 621312 621970 629760 645504 661560 663380 666030 678099 705664 710432 718392 723246 728160 733080 746364 751407 757760 762880 776640 776704 781952 796056 806880 821437 828416 839680 860672 882080 888040 897990 904132 909312 910241 915456 932955 957856 964328 970880 977440 995070 995152 1001876 1007616 1035520 1058496 1061408 1065648 1075840 1130165 1136640 1144320 1165056 1172928 1197320 1205410 1220608 1227253 1242624 1243940 1252345 1259520 1291008 1323120 1326760 1332060 1356198 1359929 1411328 1420864 1436784 1446492 1456320 1466160 1492728 1502814 1515520 1525760 1553280 1553408 1563904 1592112 1613760 1642874 1656832 1679360 1721344 1764160 1776080 1795980 1808115 1808264 1820482 1830912 1865910 1915712 1928656 1941760 1954880 1990140 1990304 2003752 2071040 2116992 2122816 2131296 2151680 2260330 2273280 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2287812603848704 2859765754810880 3348018444656640 3431718905773056 3709966384619520 4289648632216320 4575625207697408 5719531509621760 6863437811546112 8579297264432640 9151250415394816 11439063019243520 13726875623092224 17158594528865280 22878126038487040 27453751246184448 34317189057730560 45756252076974080 68634378115461120 137268756230922240
- Sum of all divisors σ(n): 466074695451264480
- Sum of proper divisors (its aliquot sum) s(n): 328805939220342240
- 137268756230922240 is an abundant number, because the sum of its proper divisors (328805939220342240) is greater than itself. Its abundance is 191537182989420000
Bases of 137268756230922240
- Binary: 1111001111010110100110100110111011110011101100000000000002
- Hexadecimal: 0x1E7AD34DDE76000
- Base-36: 11JLPO1XMSQO
Squares and roots of 137268756230922240
- 137268756230922240 squared (1372687562309222402) is 18842711437184353288391960926617600
- 137268756230922240 cubed (1372687562309222403) is 2586515563000469451310303871104242854872611815424000
-
The
square root of 137268756230922240 is 370497984.1118197503 -
The
cube root of 137268756230922240 is 515850.5519250931
Scales and comparisons
How big is 137268756230922240?- 137,268,756,230,922,240 seconds is equal to 4,364,721,848 years, 17 hours, 4 minutes.
-
To count from 1 to 137,268,756,230,922,240 would take you about thirteen billion, ninety-four million, one hundred sixty-five thousand, five hundred forty-four 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 137268756230922240 cubic inches would be around 42987.5 feet tall.
Recreational maths with 137268756230922240
- 137268756230922240 backwards is 042229032657862731
- The number of decimal digits it has is: 18
- The sum of 137268756230922240's digits is 69
- More coming soon!
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"Number 137268756230922240 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 137268756230922240 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/137268756230922240/
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The information we have on file for 137268756230922240 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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