34128357995984
34,128,357,995,984 is an even composite number composed of eight prime numbers multiplied together.
34128357995984 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 34128357995984:
24 × 7 × 17 × 29 × 31 × 67 × 523 × 569
(2 × 2 × 2 × 2 × 7 × 17 × 29 × 31 × 67 × 523 × 569)See below for interesting mathematical facts about the number 34128357995984 from the Numbermatics database.
Names of 34128357995984
- Cardinal: 34128357995984 can be written as Thirty-four trillion, one hundred twenty-eight billion, three hundred fifty-seven million, nine hundred ninety-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 3.4128357995984 × 1013
Factors of 34128357995984
Divisors of 34128357995984
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 31 34 56 58 62 67 68 112 116 119 124 134 136 203 217 232 238 248 268 272 406 434 464 469 476 493 496 523 527 536 569 812 868 899 938 952 986 1046 1054 1072 1138 1139 1624 1736 1798 1876 1904 1943 1972 2077 2092 2108 2276 2278 3248 3451 3472 3596 3661 3689 3752 3886 3944 3983 4154 4184 4216 4552 4556 6293 6902 7192 7322 7378 7504 7772 7888 7966 7973 8308 8368 8432 8891 9104 9112 9673 12586 13601 13804 14384 14539 14644 14756 15167 15283 15544 15932 15946 16213 16501 16616 17639 17782 18224 19346 25172 27202 27608 29078 29288 29512 30334 30566 31088 31864 31892 32426 33002 33031 33232 35041 35278 35309 35564 38123 38692 50344 54404 55216 58156 58576 59024 60233 60668 61132 62237 63728 63784 64852 66004 66062 67711 70082 70556 70618 71128 76246 77384 100688 106169 106981 108808 113491 115507 116312 120466 121336 122264 123473 124474 127568 129704 132008 132124 135422 140164 141112 141236 142256 152492 154768 212338 213962 217616 226982 231014 231217 232624 240932 242672 244528 245287 246946 247163 248948 257839 259408 264016 264248 266861 270844 275621 280328 280517 282224 282472 297587 299863 304984 421631 424676 427924 453964 462028 462434 470177 481864 490574 493892 494326 497896 511531 515678 528496 533722 541688 551242 560656 561034 564944 595174 595697 599726 609968 648091 843262 849352 855848 907928 924056 924868 940354 963728 981148 987784 988652 995792 1016189 1023062 1023961 1031356 1067444 1083376 1086271 1102484 1105567 1122068 1181813 1190348 1191394 1199452 1296182 1686524 1698704 1711696 1804873 1815856 1848112 1849736 1880708 1929347 1962296 1963619 1975568 1977304 2032378 2046124 2047922 2062712 2083109 2099041 2134888 2172542 2204968 2211134 2244136 2363626 2380696 2382788 2398904 2592364 3291239 3373048 3580717 3609746 3699472 3761416 3858694 3924592 3927238 3954608 4064756 4092248 4095844 4125424 4166218 4169879 4198082 4269776 4345084 4409936 4422268 4488272 4536637 4727252 4761392 4765576 4797808 5058979 5184728 6582478 6746096 7113323 7161434 7167727 7219492 7522832 7603897 7717388 7738969 7854476 7993009 8129512 8184496 8191688 8272691 8332436 8339758 8396164 8630023 8690168 8696027 8844536 9073274 9225197 9454504 9531152 10117958 10369456 13164956 14226646 14322868 14335454 14438984 15207794 15434776 15477938 15708952 15986018 16259024 16383376 16545382 16664872 16679516 16792328 17260046 17275213 17380336 17392054 17689072 18146548 18450394 18466607 18794639 18909008 19938329 20090821 20235916 26329912 28453292 28645736 28670908 28877968 30415588 30869552 30955876 31417904 31501859 31972036 33090764 33329744 33359032 33584656 34272577 34520092 34550426 34784108 35412853 36293096 36900788 36933214 37589278 39876658 40181642 40471832 52659824 55951063 56906584 57291472 57341816 60410161 60831176 60872189 61911752 63003718 63944072 64576379 66181528 66718064 68545154 69040184 69100852 69568216 70825706 72586192 73801576 73866428 75178556 79753316 80363284 80943664 111902126 113813168 114683632 120820322 120926491 121662352 121744378 123823504 126007436 127888144 129152758 129266249 131562473 132363056 137090308 138080368 138201704 139136432 139568303 140635747 141651412 146710391 147603152 147732856 150357112 156828349 159506632 160726568 220513013 223804252 239908039 241640644 241852982 243488756 252014872 258305516 258532498 263124946 267530713 274180616 276403408 279136606 281271494 283302824 293420782 295465712 300714224 313656698 319013264 321453136 338951593 441026026 447608504 479816078 483281288 483705964 486977512 504029744 516611032 517064996 526249892 535061426 535531603 548361232 558273212 562542988 566605648 578211541 582633809 586841564 618088199 627313396 677903186 882052052 895217008 959632156 966562576 967411928 973955024 1026972737 1033222064 1034129992 1052499784 1070122852 1071063206 1097798443 1116546424 1125085976 1156423082 1165267618 1173683128 1236176398 1254626792 1355806372 1764104104 1872714991 1919264312 1934823856 2053945474 2068259984 2104999568 2140245704 2142126412 2195596886 2233092848 2250171952 2312846164 2330535236 2347366256 2372661151 2472352796 2509253584 2711612744 3528208208 3745429982 3748721221 3838528624 4047480787 4078436663 4107890948 4280491408 4284252824 4326617393 4391193772 4548022121 4625692328 4661070472 4745322302 4944705592 5423225488 7490859964 7497442442 8094961574 8156873326 8215781896 8568505648 8653234786 8782387544 9096044242 9251384656 9322140944 9490644604 9829596197 9889411184 10507499383 14981719928 14994884884 16189923148 16313746652 16431563792 17306469572 17564775088 17924557771 18192088484 18981289208 19659192394 21014998766 29963439856 29989769768 31836154847 32379846296 32627493304 34612939144 35849115542 36384176968 37962578416 39318384788 42029997532 59979539536 63672309694 64759692592 65254986608 68807173379 69225878288 71698231084 72768353936 73552495681 78636769576 84059995064 125471904397 127344619388 137614346758 143396462168 147104991362 157273539152 168119990128 250943808794 254689238776 275228693516 286792924336 294209982724 304717482107 501887617588 509378477552 550457387032 588419965448 609434964214 1003775235176 1100914774064 1176839930896 1218869928428 2007550470352 2133022374749 2437739856856 4266044749498 4875479713712 8532089498996 17064178997992 34128357995984
- Sum of all divisors σ(n): 87038314905600
- Sum of proper divisors (its aliquot sum) s(n): 52909956909616
- 34128357995984 is an abundant number, because the sum of its proper divisors (52909956909616) is greater than itself. Its abundance is 18781598913632
Bases of 34128357995984
- Binary: 1111100001010001000001010011110110101110100002
- Hexadecimal: 0x1F0A20A7B5D0
- Base-36: C3ICN6KSW
Squares and roots of 34128357995984
- 34128357995984 squared (341283579959842) is 1164744819502045028560128256
- 34128357995984 cubed (341283579959843) is 39750828173933559271700068811986172923904
-
The
square root of 34128357995984 is 5841948.1336266587 -
The
cube root of 34128357995984 is 32436.8344723719
Scales and comparisons
How big is 34128357995984?- 34,128,357,995,984 seconds is equal to 1,085,176 years, 11 weeks, 2 days, 11 hours, 19 minutes, 44 seconds.
-
To count from 1 to 34,128,357,995,984 would take you about two million, seven hundred twelve thousand, nine hundred forty 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 34128357995984 cubic inches would be around 2703.1 feet tall.
Recreational maths with 34128357995984
- 34128357995984 backwards is 48959975382143
- The number of decimal digits it has is: 14
- The sum of 34128357995984's digits is 77
- More coming soon!
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