1146083435621712

Names of 1146083435621712

• Cardinal: 1146083435621712 can be written as One quadrillion, one hundred forty-six trillion, eighty-three billion, four hundred thirty-five million, six hundred twenty-one thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 1.146083435621712 × 10¹⁵

Factors of 1146083435621712

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 992343

Divisors of 1146083435621712

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 37 42 48 54 56 62 63 72 74 81 84 93 108 111 112 124 126 144 148 162 168 186 189 216 217 222 243 248 252 259 279 296 324 333 336 372 378 432 434 444 486 496 504 518 558 567 592 648 651 666 744 756 777 837 868 888 972 999 1008 1036 1116 1134 1147 1296 1302 1332 1369 1488 1512 1554 1674 1701 1736 1776 1944 1953 1998 2072 2232 2268 2294 2331 2511 2604 2664 2738 2997 3024 3108 3348 3402 3441 3472 3888 3906 3996 4107 4144 4464 4536 4588 4662 5022 5208 5328 5476 5859 5994 6216 6696 6804 6882 6993 7533 7812 7992 8029 8214 8991 9072 9176 9324 9583 10044 10323 10416 10952 11718 11988 12321 12432 13392 13608 13764 13986 15066 15624 15984 16058 16428 17577 17982 18352 18648 19166 20088 20646 20979 21904 23436 23976 24087 24642 27216 27528 27972 28749 30132 30969 31248 32116 32856 35154 35964 36963 37296 38332 40176 41292 41958 42439 46872 47952 48174 49284 52731 55056 55944 57498 60264 61938 62937 64232 65712 70308 71928 72261 73926 76664 82584 83916 84878 86247 92907 93744 96348 98568 105462 110889 111888 114996 120528 123876 125874 127317 128464 140616 143856 144522 147852 153328 165168 167832 169756 172494 185814 192696 197136 210924 216783 221778 229992 247752 251748 254634 258741 278721 281232 289044 295704 297073 332667 335664 339512 344988 371628 381951 385392 421848 433566 443556 459984 495504 503496 509268 517482 557442 578088 591408 594146 650349 665334 679024 689976 743256 763902 776223 843696 867132 887112 891219 992263 1006992 1018536 1034964 1114884 1145853 1156176 1188292 1300698 1330668 1379952 1486512 1527804 1552446 1734264 1774224 1782438 1951047 1984526 2037072 2069928 2229768 2291706 2328669 2376584 2601396 2661336 2673657 2976789 3055608 3104892 3437559 3468528 3564876 3902094 3969052 4139856 4459536 4583412 4657338 4753168 5202792 5322672 5347314 5953578 6111216 6209784 6875118 6945841 7129752 7804188 7938104 8020971 8930367 9166824 9314676 10312677 10405584 10694628 11907156 12419568 13750236 13891682 14259504 15608376 15876208 16041942 17860734 18333648 18629352 20625354 20837523 21389256 23814312 24062913 26791101 27500472 27783364 30760153 31216752 32083884 35721468 36713731 37258704 41250708 41675046 42778512 47628624 48125826 53582202 55000944 55566728 61520306 62512569 64167768 71442936 72188739 73427462 80373303 82501416 83350092 92280459 96251652 107164404 110141193 111133456 123040612 125025138 128335536 142885872 144377478 146854924 160746606 165002832 166700184 184560918 187537707 192503304 214328808 215321071 220282386 241119909 246081224 250050276 256996117 276841377 288754956 293709848 321493212 330423579 333400368 369121836 375075414 385006608 428657616 430642142 440564772 482239818 492162448 500100552 513992234 553682754 562613121 577509912 587419696 642986424 645963213 660847158 738243672 750150828 770988351 830524131 861284284 881129544 964479636 991270737 1000201104 1027984468 1107365508 1125226242 1138125661 1155019824 1285972848 1291926426 1321694316 1358408047 1476487344 1500301656 1541976702 1661048262 1687839363 1722568568 1762259088 1928959272 1937889639 1982541474 2055968936 2214731016 2250452484 2276251322 2312965053 2491572393 2583852852 2643388632 2716816094 2973812211 3000603312 3083953404 3322096524 3375678726 3414376983 3445137136 3857918544 3875779278 3965082948 4075224141 4111937872 4429462032 4500904968 4552502644 4625930106 4983144786 5167705704 5286777264 5433632188 5813668917 5947624422 6167906808 6644193048 6751357452 6828753966 6938895159 7474717179 7751558556 7930165896 7966879627 8150448282 8921436633 9001809936 9105005288 9251860212 9508856329 9966289572 10243130949 10335411408 10867264376 11627337834 11895248844 12225672423 12335813616 13288386096 13502714904 13657507932 13877790318 14949434358 15503117112 15860331792 15933759254 16300896564 17441006751 17842873266 18210010576 18503720424 19017712658 19932579144 20486261898 20816685477 21734528752 23254675668 23790497688 23900638881 24451344846 27005429808 27315015864 27755580636 28526568987 29898868716 30729392847 31006234224 31867518508 32601793128 34882013502 35685746532 36677017269 37007440848 38035425316 39865158288 40972523796 41633370954 42110649457 46509351336 47580995376 47801277762 48902689692 52323020253 54630031728 55511161272 57053137974 59797737432 61458785694 62450056431 63735037016 65203586256 69764027004 71371493064 71701916643 73354034538 76070850632 81945047592 83266741908 84221298914 85579706961 92188178541 93018702672 95602555524 97805379384 104646040506 110031051807 111022322544 114106275948 119595474864 122917571388 124900112862 126331948371 127470074032 139528054008 142742986128 143403833286 146708069076 152141701264 163890095184 166533483816 168442597828 171159413922 184376357082 191205111048 195610758768 209292081012 215105749929 220062103614 228212551896 245835142776 249800225724 252663896742 256739120883 276564535623 279056108016 286807666572 293416138152 294774546199 330093155421 333066967632 336885195656 342318827844 368752714164 378995845113 382410222096 418584162024 430211499858 440124207228 456425103792 491670285552 499600451448 505327793484 513478241766 553129071246 573615333144 586832276304 589549092398 645317249787 660186310842 673770391312 684637655688 737505428328 757991690226 770217362649 837168324048 860422999716 880248414456 884323638597 999200902896 1010655586968 1026956483532 1106258142492 1136987535339 1147230666288 1179098184796 1290634499574 1320372621684 1369275311376 1475010856656 1515983380452 1540434725298 1720845999432 1760496828912 1768647277194 1935951749361 2021311173936 2053912967064 2212516284984 2273975070678 2310652087947 2358196369592 2581268999148 2640745243368 2652970915791 3031966760904 3080869450596 3410962606017 3441691998864 3537294554388 3871903498722 4107825934128 4425032569968 4547950141356 4621304175894 4716392739184 5162537998296 5281490486736 5305941831582 6063933521808 6161738901192 6821925212034 7074589108776 7743806997444 7958912747373 9095900282712 9242608351788 10232887818051 10325075996592 10611883663164 12323477802384 13643850424068 14149178217552 15487613994888 15917825494746 18191800565424 18485216703576 20465775636102 21223767326328 23876738242119 27287700848136 30975227989776 31835650989492 36970433407152 40931551272204 42447534652656 47753476484238 54575401696272 63671301978984 71630214726357 81863102544408 95506952968476 127342603957968 143260429452714 163726205088816 191013905936952 286520858905428 382027811873904 573041717810856 1146083435621712
• Sum of all divisors σ(n): 4032964279099392
• Sum of proper divisors (its aliquot sum) s(n): 2886880843477680
• 1146083435621712 is an abundant number, because the sum of its proper divisors (2886880843477680) is greater than itself. Its abundance is 1740797407855968

Bases of 1146083435621712

• Binary: 100000100100101101101011000000100000010110101010000₂
• Hexadecimal: 0x4125B58102D50
• Base-36: BA93GMKL00

Squares and roots of 1146083435621712

• 1146083435621712 squared (1146083435621712²) is 1313507241406466874467965810944
• 1146083435621712 cubed (1146083435621712³) is 1505388891945121000773257387528488072893616128
• The square root of 1146083435621712 is 33853854.0733800647
• The cube root of 1146083435621712 is 104649.8825438081

Scales and comparisons

• 1,146,083,435,621,712 seconds is equal to 36,441,908 years, 9 weeks, 3 days, 22 hours, 55 minutes, 12 seconds.
• To count from 1 to 1,146,083,435,621,712 would take you about one hundred nine million, three hundred twenty-five thousand, seven hundred twenty-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 1146083435621712 cubic inches would be around 8720.8 feet tall.

Recreational maths with 1146083435621712

• 1146083435621712 backwards is 2171265343806411
• 1146083435621712 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 1146083435621712's digits is 54
• More coming soon!