3438284577728

Names of 3438284577728

• Cardinal: 3438284577728 can be written as Three trillion, four hundred thirty-eight billion, two hundred eighty-four million, five hundred seventy-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.438284577728 × 10¹²

Factors of 3438284577728

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 915

Divisors of 3438284577728

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 44 52 56 59 64 68 73 77 88 91 104 112 118 119 136 143 146 154 176 182 187 208 221 224 236 238 272 286 292 308 352 364 374 413 416 442 448 472 476 511 544 572 584 616 649 704 728 733 748 767 803 826 832 884 944 949 952 1001 1003 1022 1088 1144 1168 1232 1241 1298 1309 1456 1466 1496 1534 1547 1606 1652 1768 1888 1898 1904 2002 2006 2044 2288 2336 2431 2464 2482 2596 2618 2912 2932 2992 3068 3094 3212 3304 3536 3776 3796 3808 4004 4012 4088 4307 4543 4576 4672 4862 4928 4964 5131 5192 5236 5369 5621 5824 5864 5984 6136 6188 6424 6608 6643 7021 7072 7592 7616 8008 8024 8063 8176 8437 8614 8687 9086 9152 9529 9724 9928 10262 10384 10439 10472 10738 11033 11242 11728 11968 12272 12376 12461 12848 13039 13216 13286 13651 14042 14144 15184 16016 16048 16126 16133 16352 16874 17017 17228 17374 18172 19058 19448 19856 20524 20768 20878 20944 21476 22066 22484 23456 24544 24752 24922 25696 26078 26432 26572 27302 28084 30149 30368 32032 32096 32252 32266 32704 33748 34034 34456 34748 36344 38116 38896 39712 41048 41536 41756 41888 42952 43247 44132 44968 46912 47377 49088 49504 49844 51392 52156 53144 53509 54604 55991 56168 56441 59059 60298 60736 64064 64192 64504 64532 66703 67496 68068 68912 69496 72688 73073 73219 76232 77231 77792 79424 82096 83512 83776 85904 86494 87227 88264 89936 91273 94754 95557 99008 99688 104312 104819 106288 107018 109208 111982 112336 112882 112931 118118 120596 129008 129064 133406 134992 136136 137071 137824 138992 143429 145376 146146 146438 152464 154462 155584 161993 164192 167024 171808 172988 174454 176528 177463 179872 182546 189508 191114 199376 208624 209638 212576 214036 218416 223964 224672 225764 225862 236236 241192 258016 258128 266812 269984 272272 274142 275648 277984 286858 290752 292292 292876 302729 304928 308924 323986 328384 331639 334048 343616 345976 348908 353056 354926 359744 365092 374563 379016 382228 391937 398752 417248 419276 425152 428072 436832 447928 449344 451528 451724 472472 475717 482384 512533 516032 516256 533624 539968 544544 548284 555968 562211 573716 584584 585752 588599 605458 609856 615901 617848 647972 663278 668096 691952 695617 697816 706112 709852 730184 733733 735199 749126 758032 764456 783874 797504 805409 834496 838552 856144 873664 895856 903056 903448 909653 944944 951434 951847 959497 964768 1004003 1025066 1032512 1067248 1089088 1096568 1124422 1133951 1147432 1169168 1171504 1177198 1210916 1231802 1235696 1242241 1295944 1326556 1383904 1391234 1395632 1419704 1460368 1467466 1470398 1498252 1516064 1528912 1567748 1610818 1677104 1712288 1781923 1791712 1806112 1806896 1819306 1889888 1902868 1903694 1918994 1929536 2008006 2050132 2134496 2193136 2248844 2267902 2294864 2338336 2343008 2354396 2421832 2463604 2471392 2484482 2591888 2653112 2767808 2782468 2791264 2839408 2920736 2934932 2940796 2996504 3032128 3057824 3135496 3157031 3221636 3330019 3354208 3424576 3563846 3583424 3612224 3613792 3638612 3779776 3805736 3807388 3837988 3935477 4016012 4100264 4120193 4268992 4311307 4386272 4497688 4535804 4589728 4676672 4686016 4708792 4843664 4869319 4927208 4942784 4968964 5146393 5183776 5306224 5564936 5582528 5637863 5678816 5841472 5869864 5881592 5993008 6115648 6184321 6270992 6314062 6367571 6443272 6660038 6662929 6708416 7127692 7227584 7277224 7611472 7614776 7651787 7675976 7870954 8032024 8087189 8200528 8240386 8622614 8772544 8995376 9071608 9179456 9417584 9557587 9687328 9738638 9854416 9937928 10006183 10292786 10367552 10470317 10612448 11129872 11275726 11357632 11739728 11763184 11825489 11986016 12368642 12473461 12541984 12628124 12735142 12886544 13320076 13325858 14255384 14554448 15222944 15229552 15303574 15351952 15741908 16064048 16174378 16401056 16480772 17245228 17990752 18143216 18835168 19115174 19374656 19477276 19708832 19875856 20012366 20585572 20940634 21224896 22099217 22259744 22551452 23479456 23526368 23650978 23972032 24737284 24946922 25083968 25256248 25470284 25773088 26640152 26651716 28510768 29108896 30445888 30459104 30607148 30703904 31483816 32128096 32348756 32802112 32961544 34490456 34727341 35981504 36286432 37670336 38230348 38954552 39417664 39751712 40024732 41041403 41171144 41881268 43290247 44198434 44519488 45102904 46958912 47052736 47301956 49474568 49893844 50512496 50940568 51546176 53280304 53303432 53562509 53669527 56610323 57021536 58217792 60918208 61214296 61407808 62967632 64256192 64697512 65923088 66903109 68980912 69454682 70043281 72572864 73292219 76460696 77909104 79503424 80049464 82082806 82342288 82778423 83762536 86580494 88396868 90205808 94603912 98949136 99787688 101024992 101881136 105133457 106560608 106606864 107125018 107339054 113220646 114043072 122428592 125935264 129395024 130080379 131846176 133806218 137961824 138909364 140086562 146584438 152921392 155818208 160098928 164165612 164684576 165556846 167525072 173160988 176793736 180411616 189207824 197898272 199575376 202049984 203762272 210266914 213121216 213213728 214250036 214678108 226441292 243091387 244857184 251870528 258790048 260160758 263692352 267612436 275923648 277818728 280173124 287289821 293168876 305842784 311636416 320197856 328331224 329369152 331113692 335050144 346321976 353587472 360823232 375686689 378415648 395796544 399150752 407524544 420533828 426427456 428500072 429356216 451455433 452882584 486182774 489714368 517580096 520321516 535224872 555637456 560346248 574579642 586337752 590364797 611685568 640395712 656662448 662227384 670100288 692643952 697703851 707174944 735934199 751373378 756831296 798301504 841067656 857000144 858712432 902910866 905765168 910562653 972365548 1040643032 1070449744 1111274912 1120692496 1149159284 1172675504 1180729594 1313324896 1324454768 1385287904 1395407702 1414349888 1471868398 1502746756 1682135312 1714000288 1717424864 1805821732 1811530336 1821125306 1944731096 2081286064 2140899488 2222549824 2241384992 2298318568 2345351008 2361459188 2626649792 2648909536 2770575808 2790815404 2943736796 3005493512 3160188031 3364270624 3428000576 3434849728 3611643464 3623060672 3642250612 3889462192 4132553579 4162572128 4281798976 4482769984 4596637136 4690702016 4722918376 4883926957 5297819072 5581630808 5887473592 6010987024 6320376062 6728541248 7223286928 7284501224 7674742361 7778924384 8265107158 8325144256 9193274272 9445836752 9767853914 11163261616 11774947184 12021974048 12640752124 14446573856 14569002448 15349484722 15557848768 16530214316 18386548544 18891673504 19535707828 22326523232 23549894368 24043948096 25281504248 28893147712 29138004896 30698969444 33060428632 37783347008 39071415656 44653046464 47099788736 50563008496 53723196527 58276009792 61397938888 66120857264 78142831312 101126016992 107446393054 122795877776 132241714528 156285662624 202252033984 214892786108 245591755552 264483429056 312571325248 429785572216 491183511104 859571144432 1719142288864 3438284577728
• Sum of all divisors σ(n): 10012776560640
• Sum of proper divisors (its aliquot sum) s(n): 6574491982912
• 3438284577728 is an abundant number, because the sum of its proper divisors (6574491982912) is greater than itself. Its abundance is 3136207405184

Bases of 3438284577728

• Binary: 110010000010001001101110110001101111000000₂
• Hexadecimal: 0x32089BB1BC0
• Base-36: 17VIXV3CW

Squares and roots of 3438284577728

• 3438284577728 squared (3438284577728²) is 11821800837442211273641984
• 3438284577728 cubed (3438284577728³) is 40646715500349510160596690014092132352
• The square root of 3438284577728 is 1854261.1945807421
• The cube root of 3438284577728 is 15093.1749600441

Scales and comparisons

• 3,438,284,577,728 seconds is equal to 109,326 years, 42 weeks, 2 days, 9 hours, 22 minutes, 8 seconds.
• To count from 1 to 3,438,284,577,728 would take you about two hundred seventy-three thousand, three hundred seventeen 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 3438284577728 cubic inches would be around 1257.8 feet tall.

Recreational maths with 3438284577728

• 3438284577728 backwards is 8277754828343
• 3438284577728 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 3438284577728's digits is 68
• More coming soon!