135709385472
135,709,385,472 is an even composite number composed of six prime numbers multiplied together.
What does the number 135709385472 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
135709385472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 135709385472:
28 × 34 × 23 × 31 × 67 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 23 × 31 × 67 × 137)See below for interesting mathematical facts about the number 135709385472 from the Numbermatics database.
Names of 135709385472
- Cardinal: 135709385472 can be written as One hundred thirty-five billion, seven hundred nine million, three hundred eighty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.35709385472 × 1011
Factors of 135709385472
Divisors of 135709385472
- Number of divisors d(n): 720
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 62 64 67 69 72 81 92 93 96 108 124 128 134 137 138 144 162 184 186 192 201 207 216 248 256 268 274 276 279 288 324 368 372 384 402 411 414 432 496 536 548 552 558 576 603 621 648 713 736 744 768 804 822 828 837 864 992 1072 1096 1104 1116 1152 1206 1233 1242 1296 1426 1472 1488 1541 1608 1644 1656 1674 1728 1809 1863 1984 2077 2139 2144 2192 2208 2232 2304 2412 2466 2484 2511 2592 2852 2944 2976 3082 3151 3216 3288 3312 3348 3456 3618 3699 3726 3968 4154 4247 4278 4288 4384 4416 4464 4623 4824 4932 4968 5022 5184 5427 5704 5888 5952 6164 6231 6302 6417 6432 6576 6624 6696 6912 7236 7398 7452 7936 8308 8494 8556 8576 8768 8832 8928 9179 9246 9453 9648 9864 9936 10044 10368 10854 11097 11408 11904 12328 12462 12604 12741 12834 12864 13152 13248 13392 13869 14472 14796 14904 16616 16988 17112 17152 17536 17664 17856 18358 18492 18693 18906 19251 19296 19728 19872 20088 20736 21708 22194 22816 23808 24656 24924 25208 25482 25668 25728 26304 26496 26784 27537 27738 28359 28944 29592 29808 33232 33976 34224 35072 35712 36716 36984 37386 37812 38223 38502 38592 39456 39744 40176 41607 43416 44388 45632 47771 49312 49848 50416 50964 51336 51456 52608 52992 53568 55074 55476 56079 56718 57753 57888 59184 59616 66464 67952 68448 71424 73432 73968 74772 75624 76446 77004 77184 78912 79488 80352 82611 83214 85077 86832 88776 91264 95542 97681 98624 99696 100832 101928 102672 105216 107136 110148 110952 112158 113436 114669 115506 115776 118368 119232 124821 132928 135904 136896 143313 146864 147936 149544 151248 152892 154008 154368 157824 158976 160704 165222 166428 168237 170154 173664 177552 182528 191084 195362 197248 199392 201664 203856 205344 211117 214272 220296 221904 224316 226872 229338 231012 231552 236736 238464 247833 249642 255231 265856 271808 273792 284549 286626 293043 293728 295872 299088 302496 305784 308016 315648 321408 330444 332856 336474 340308 344007 347328 355104 382168 390724 394496 398784 403328 407712 410688 422234 429939 440592 443808 448632 453744 458676 462024 463104 473472 476928 495666 499284 510462 531712 543616 547584 569098 573252 586086 587456 591744 598176 604992 611568 616032 633351 642816 660888 665712 672948 680616 688014 694656 710208 743499 764336 781448 797568 806656 815424 821376 844468 853647 859878 879129 881184 887616 897264 907488 917352 924048 946944 991332 998568 1020924 1087232 1138196 1146504 1172172 1174912 1183488 1196352 1209984 1223136 1232064 1266702 1289817 1321776 1331424 1345896 1361232 1376028 1389312 1420416 1486998 1528672 1562896 1595136 1630848 1642752 1688936 1707294 1719756 1758258 1762368 1775232 1794528 1814976 1834704 1848096 1900053 1982664 1997136 2041848 2276392 2293008 2344344 2349824 2392704 2419968 2446272 2464128 2533404 2560941 2579634 2637387 2643552 2662848 2691792 2722464 2752056 2840832 2973996 3057344 3125792 3261696 3377872 3414588 3439512 3516516 3524736 3550464 3589056 3629952 3669408 3696192 3800106 3869451 3965328 3994272 4083696 4552784 4586016 4688688 4785408 4892544 4928256 5066808 5121882 5159268 5274774 5287104 5325696 5383584 5444928 5504112 5700159 5947992 6114688 6251584 6544627 6755744 6829176 6879024 7033032 7049472 7178112 7259904 7338816 7392384 7600212 7682823 7738902 7912161 7930656 7988544 8167392 9105568 9172032 9377376 9785088 10133616 10243764 10318536 10549548 10574208 10651392 10767168 10889856 11008224 11400318 11895984 12229376 12503168 13089254 13511488 13658352 13758048 14066064 14356224 14677632 14784768 15200424 15365646 15477804 15824322 15861312 15977088 16334784 17100477 18211136 18344064 18754752 19633881 20267232 20487528 20637072 21099096 21148416 21534336 21779712 22016448 22800636 23048469 23791968 25006336 26178508 27022976 27316704 27516096 28132128 29355264 30400848 30731292 30955608 31648644 31722624 31954176 32669568 34200954 36422272 36688128 37509504 39267762 40534464 40975056 41274144 42198192 43068672 44032896 45601272 46096938 47583936 52357016 54045952 54633408 55032192 56264256 58901643 60801696 61462584 61911216 63297288 63445248 65339136 68401908 72844544 75019008 78535524 81068928 81950112 82548288 84396384 88065792 91202544 92193876 95167872 104714032 109266816 110064384 112528512 117803286 121603392 122925168 123822432 126594576 136803816 157071048 162137856 163900224 165096576 168792768 176704929 182405088 184387752 190335744 209428064 218533632 225057024 235606572 243206784 245850336 247644864 253189152 273607632 314142096 327800448 330193152 337585536 353409858 364810176 368775504 418856128 471213144 486413568 491700672 495289728 506378304 530114787 547215264 628284192 655600896 675171072 706819716 729620352 737551008 837712256 942426288 983401344 990579456 1012756608 1060229574 1094430528 1256568384 1413639432 1459240704 1475102016 1675424512 1884852576 1966802688 2025513216 2120459148 2188861056 2513136768 2827278864 2950204032 3769705152 4240918296 4377722112 5026273536 5654557728 5900408064 7539410304 8481836592 11309115456 15078820608 16963673184 22618230912 33927346368 45236461824 67854692736 135709385472
- Sum of all divisors σ(n): 445610575872
- Sum of proper divisors (its aliquot sum) s(n): 309901190400
- 135709385472 is an abundant number, because the sum of its proper divisors (309901190400) is greater than itself. Its abundance is 174191804928
Bases of 135709385472
- Binary: 11111100110001110100011100011000000002
- Hexadecimal: 0x1F98E8E300
- Base-36: 1QCDV400
Squares and roots of 135709385472
- 135709385472 squared (1357093854722) is 18417037305187884662784
- 135709385472 cubed (1357093854723) is 2499364814901946745086030588674048
-
The
square root of 135709385472 is 368387.5479328799 -
The
cube root of 135709385472 is 5138.8975701451
Scales and comparisons
How big is 135709385472?- 135,709,385,472 seconds is equal to 4,315 years, 7 weeks, 1 day, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 135,709,385,472 would take you about eight thousand, six hundred thirty 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 135709385472 cubic inches would be around 428.2 feet tall.
Recreational maths with 135709385472
- 135709385472 backwards is 274583907531
- 135709385472 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135709385472's digits is 54
- More coming soon!
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The information we have on file for 135709385472 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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