135392736695040
135,392,736,695,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135392736695040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
135392736695040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 135392736695040:
28 × 34 × 5 × 11 × 17 × 372 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 17 × 37 × 37 × 5101)See below for interesting mathematical facts about the number 135392736695040 from the Numbermatics database.
Names of 135392736695040
- Cardinal: 135392736695040 can be written as One hundred thirty-five trillion, three hundred ninety-two billion, seven hundred thirty-six million, six hundred ninety-five thousand and forty.
Scientific notation
- Scientific notation: 1.3539273669504 × 1014
Factors of 135392736695040
Divisors of 135392736695040
- Number of divisors d(n): 2160
-
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 37 40 44 45 48 51 54 55 60 64 66 68 72 74 80 81 85 88 90 96 99 102 108 110 111 120 128 132 135 136 144 148 153 160 162 165 170 176 180 185 187 192 198 204 216 220 222 240 255 256 264 270 272 288 296 297 306 320 324 330 333 340 352 360 370 374 384 396 405 407 408 432 440 444 459 480 495 510 528 540 544 555 561 576 592 594 612 629 640 648 660 666 680 704 720 740 748 765 768 792 810 814 816 864 880 888 891 918 935 960 990 999 1020 1056 1080 1088 1110 1122 1152 1184 1188 1221 1224 1258 1280 1296 1320 1332 1360 1369 1377 1408 1440 1480 1485 1496 1530 1584 1620 1628 1632 1665 1683 1728 1760 1776 1782 1836 1870 1887 1920 1980 1998 2035 2040 2112 2160 2176 2220 2244 2295 2304 2368 2376 2442 2448 2516 2592 2640 2664 2720 2738 2754 2805 2816 2880 2960 2970 2992 2997 3060 3145 3168 3240 3256 3264 3330 3366 3456 3520 3552 3564 3663 3672 3740 3774 3840 3960 3996 4070 4080 4107 4224 4320 4352 4440 4455 4488 4590 4736 4752 4884 4896 4995 5032 5049 5101 5184 5280 5328 5440 5476 5508 5610 5661 5760 5920 5940 5984 5994 6105 6120 6290 6336 6480 6512 6528 6660 6732 6845 6885 6912 6919 7040 7104 7128 7326 7344 7480 7548 7920 7992 8140 8160 8214 8415 8448 8640 8880 8910 8976 9180 9435 9472 9504 9768 9792 9990 10064 10098 10202 10368 10560 10656 10880 10952 10989 11016 11220 11322 11520 11840 11880 11968 11988 12210 12240 12321 12580 12672 12960 13024 13056 13320 13464 13690 13770 13838 14080 14208 14256 14652 14688 14960 14985 15059 15096 15147 15303 15840 15984 16280 16320 16428 16830 16983 17280 17760 17820 17952 18315 18360 18870 19008 19536 19584 19980 20128 20196 20404 20535 20736 20757 21120 21312 21760 21904 21978 22032 22440 22644 23273 23680 23760 23936 23976 24420 24480 24642 25160 25245 25344 25505 25920 26048 26640 26928 27380 27540 27676 28305 28416 28512 29304 29376 29920 29970 30118 30192 30294 30606 31680 31968 32560 32640 32856 32967 33660 33966 34560 34595 35520 35640 35904 36630 36720 36963 37740 38016 39072 39168 39960 40256 40392 40808 41070 41514 42240 42624 43808 43956 44064 44880 45177 45288 45909 46546 47360 47520 47872 47952 48840 48960 49284 50320 50490 50949 51010 51840 52096 53280 53856 54760 54945 55080 55352 56111 56610 57024 58608 58752 59840 59940 60236 60384 60588 61212 61605 62271 63360 63936 65120 65280 65712 65934 67320 67932 69190 69819 71040 71280 71808 73260 73440 73926 75295 75480 75735 76032 76515 78144 79920 80512 80784 81616 82140 83028 84915 85248 86717 87616 87912 88128 89760 90354 90576 91818 93092 95040 95904 97680 97920 98568 100640 100980 101898 102020 103680 103785 104192 106560 107712 109520 109890 110160 110704 110889 112222 113220 114048 116365 117216 117504 119680 119880 120472 120768 121176 122424 123210 124542 126720 127872 130240 131424 131868 134640 135531 135864 137727 138380 139638 142080 142560 143616 146520 146880 147852 150590 150960 151470 153030 156288 159840 161024 161568 163232 164280 164835 166056 168333 169830 173434 175232 175824 176256 179520 180708 181152 183636 184815 186184 186813 188737 190080 191808 195360 195840 197136 201280 201960 203796 204040 207570 209457 213120 215424 219040 219780 220320 221408 221778 224444 225885 226440 228096 229545 232730 234432 239360 239760 240944 241536 242352 244848 246420 249084 254745 255744 256003 260151 260480 262848 263736 269280 271062 271728 275454 276760 279276 280555 285120 293040 293760 295704 301180 301920 302940 306060 311355 312576 319680 323136 326464 328560 329670 332112 336666 339660 346868 349095 350464 351648 352512 359040 361416 362304 367272 369630 372368 373626 377474 380160 383616 390720 394272 402560 403920 406593 407592 408080 413181 415140 418914 426240 430848 433585 438080 439560 440640 442816 443556 448888 451770 452880 459090 465460 468864 479520 481888 483072 484704 489696 492840 498168 504999 509490 512006 520302 520960 525696 527472 538560 542124 543456 550908 553520 554445 558552 560439 561110 566211 570240 586080 587520 591408 602360 603840 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215250773760 221229961920 227933900160 228703947120 235056834540 241341776640 243950876928 248883707160 250727290176 256425637680 265475954304 273520680192 282068201448 294973282560 304938596160 307710765216 313409112720 331844942880 332660286720 334303053568 341900850240 352585251810 362012664960 365926315392 376090935264 384638456520 398213931456 406584794880 410281020288 417878816960 423102302172 442459923840 455867800320 457407894240 470113669080 497767414320 501454580352 512851275360 528877877715 530951908608 564136402896 609877192320 615421530432 626818225440 663689885760 683801700480 705170503620 724025329920 731852630784 752181870528 769276913040 796427862912 820562040576 835757633920 846204604344 884919847680 914815788480 940227338160 995534828640 1002909160704 1025702550720 1057755755430 1128272805792 1219754384640 1230843060864 1253636450880 1327379771520 1367603400960 1410341007240 1504363741056 1538553826080 1592855725824 1671515267840 1692409208688 1829631576960 1880454676320 1991069657280 2051405101440 2115511510860 2256545611584 2461686121728 2507272901760 2654759543040 2820682014480 3008727482112 3077107652160 3384818417376 3659263153920 3760909352640 3982139314560 4102810202880 4231023021720 4513091223168 5014545803520 5641364028960 6154215304320 6769636834752 7521818705280 7964278629120 8462046043440 9026182446336 11282728057920 12308430608640 13539273669504 15043637410560 16924092086880 22565456115840 27078547339008 33848184173760 45130912231680 67696368347520 135392736695040
- Sum of all divisors σ(n): 575235690077664
- Sum of proper divisors (its aliquot sum) s(n): 439842953382624
- 135392736695040 is an abundant number, because the sum of its proper divisors (439842953382624) is greater than itself. Its abundance is 304450216687584
Bases of 135392736695040
- Binary: 111101100100011100100111111100111010011000000002
- Hexadecimal: 0x7B2393F9D300
- Base-36: 1BZQKBOW00
Squares and roots of 135392736695040
- 135392736695040 squared (1353927366950402) is 18331193149772430941960601600
- 135392736695040 cubed (1353927366950403) is 2481910407433059689420933456730274136064000
-
The
square root of 135392736695040 is 11635838.4611956521 -
The
cube root of 135392736695040 is 51348.9761867509
Scales and comparisons
How big is 135392736695040?- 135,392,736,695,040 seconds is equal to 4,305,070 years, 11 weeks, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 135,392,736,695,040 would take you about ten million, seven hundred sixty-two thousand, six hundred seventy-five 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 135392736695040 cubic inches would be around 4279.1 feet tall.
Recreational maths with 135392736695040
- 135392736695040 backwards is 040596637293531
- The number of decimal digits it has is: 15
- The sum of 135392736695040's digits is 63
- More coming soon!
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The information we have on file for 135392736695040 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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