146861106306744320

Names of 146861106306744320

• Cardinal: 146861106306744320 can be written as One hundred forty-six quadrillion, eight hundred sixty-one trillion, one hundred six billion, three hundred six million, seven hundred forty-four thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.4686110630674432 × 10¹⁷

Factors of 146861106306744320

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 1940

Divisors of 146861106306744320

• Number of divisors d(n): 684
• Complete list of divisors:
  1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 128 152 160 164 190 205 256 304 320 328 380 410 512 608 640 656 760 779 820 1024 1216 1280 1312 1520 1558 1640 1681 1873 2048 2432 2560 2624 3040 3116 3280 3362 3746 3895 4096 4864 5120 5248 6080 6232 6560 6724 7492 7790 8192 8405 9365 9728 10240 10496 12160 12464 13120 13448 14984 15580 16384 16810 18730 19456 20480 20992 24320 24928 26240 26896 29968 31160 31939 32768 33620 35587 37460 38912 40960 41984 48640 49856 52480 53792 59936 62320 63878 65536 67240 71174 74920 76793 77824 81920 83968 97280 99712 104960 107584 119872 124640 127756 131072 134480 142348 149840 153586 155648 159695 163840 167936 177935 194560 199424 209920 215168 239744 249280 255512 262144 268960 284696 299680 307172 311296 319390 327680 335872 355870 383965 389120 398848 419840 430336 479488 498560 511024 537920 569392 599360 614344 622592 638780 655360 671744 711740 767930 778240 797696 839680 860672 958976 997120 1022048 1075840 1138784 1198720 1228688 1245184 1277560 1310720 1343488 1423480 1459067 1535860 1556480 1595392 1679360 1721344 1917952 1994240 2044096 2151680 2277568 2397440 2457376 2490368 2555120 2686976 2846960 2918134 3071720 3112960 3148513 3190784 3358720 3442688 3508129 3835904 3988480 4088192 4303360 4555136 4794880 4914752 4980736 5110240 5373952 5693920 5836268 6143440 6225920 6297026 6381568 6717440 6885376 7016258 7295335 7671808 7976960 8176384 8606720 9110272 9589760 9829504 10220480 10747904 11387840 11672536 12286880 12451840 12594052 12763136 13434880 13770752 14032516 14590670 15343616 15742565 15953920 16352768 17213440 17540645 18220544 19179520 19659008 20440960 22775680 23345072 24573760 24903680 25188104 25526272 26869760 27541504 28065032 29181340 30687232 31485130 31907840 32705536 34426880 35081290 36441088 38359040 39318016 40881920 45551360 46690144 49147520 50376208 51052544 53739520 55083008 56130064 58362680 59821747 61374464 62970260 63815680 65411072 66654451 68853760 70162580 72882176 76718080 78636032 81763840 91102720 93380288 98295040 100752416 102105088 110166016 112260128 116725360 119643494 122748928 125940520 127631360 130822144 133308902 137707520 140325160 143833289 145764352 153436160 157272064 163527680 182205440 186760576 196590080 201504832 204210176 220332032 224520256 233450720 239286988 245497856 251881040 255262720 261644288 266617804 275415040 280650320 287666578 291528704 299108735 306872320 314544128 327055360 333272255 364410880 373521152 393180160 403009664 440664064 449040512 466901440 478573976 490995712 503762080 510525440 523288576 533235608 550830080 561300640 575333156 583057408 598217470 613744640 629088256 654110720 666544510 719166445 728821760 747042304 786360320 806019328 898081024 933802880 957147952 1007524160 1021050880 1046577152 1066471216 1101660160 1122601280 1150666312 1166114816 1196434940 1227489280 1258176512 1308221440 1333089020 1438332890 1457643520 1494084608 1572720640 1612038656 1796162048 1867605760 1914295904 2015048320 2093154304 2132942432 2203320320 2245202560 2301332624 2332229632 2392869880 2454978560 2516353024 2616442880 2666178040 2732832491 2876665780 2915287040 2988169216 3145441280 3224077312 3592324096 3735211520 3828591808 4030096640 4186308608 4265884864 4490405120 4602665248 4664459264 4785739760 5032706048 5232885760 5332356080 5465664982 5753331560 5830574080 5897164849 5976338432 6290882560 6448154624 7184648192 7470423040 7657183616 8060193280 8372617216 8531769728 8980810240 9205330496 9328918528 9571479520 10065412096 10465771520 10664712160 10931329964 11506663120 11661148160 11794329698 11952676864 12581765120 12896309248 13664162455 14369296384 14940846080 15314367232 16120386560 17063539456 17961620480 18410660992 19142959040 20130824192 20931543040 21329424320 21862659928 23013326240 23322296320 23588659396 23905353728 25163530240 25792618496 27328324910 28738592768 29485824245 29881692160 30628734464 32240773120 34127078912 35923240960 36821321984 38285918080 41863086080 42658848640 43725319856 46026652480 46644592640 47177318792 47810707456 50327060480 51585236992 54656649820 57477185536 58971648490 59763384320 61257468928 64481546240 68254157824 71846481920 73642643968 76571836160 85317697280 87450639712 92053304960 94354637584 95621414912 100654120960 103170473984 109313299640 112046132131 114954371072 117943296980 119526768640 122514937856 128963092480 136508315648 143692963840 147285287936 153143672320 170635394560 174901279424 184106609920 188709275168 191242829824 206340947968 218626599280 224092264262 229908742144 235886593960 239053537280 245029875712 257926184960 273016631296 287385927680 294570575872 306287344640 341270789120 349802558848 368213219840 377418550336 382485659648 412681895936 437253198560 448184528524 459817484288 471773187920 478107074560 490059751424 515852369920 546033262592 560230660655 574771855360 589141151744 612574689280 682541578240 699605117696 736426439680 754837100672 825363791872 874506397120 896369057048 919634968576 943546375840 956214149120 980119502848 1031704739840 1092066525184 1120461321310 1149543710720 1178282303488 1225149378560 1365083156480 1399210235392 1472852879360 1509674201344 1749012794240 1792738114096 1887092751680 1912428298240 1960239005696 2063409479680 2184133050368 2240922642620 2299087421440 2356564606976 2450298757120 2730166312960 2798420470784 2945705758720 3019348402688 3498025588480 3585476228192 3774185503360 3920478011392 4126818959360 4368266100736 4481845285240 4598174842880 4713129213952 4900597514240 5460332625920 5596840941568 5891411517440 6038696805376 6996051176960 7170952456384 7548371006720 7840956022784 8736532201472 8963690570480 9426258427904 9801195028480 10920665251840 11193681883136 11782823034880 12077393610752 13992102353920 14341904912768 15096742013440 15681912045568 17473064402944 17927381140960 18852516855808 19602390056960 21841330503680 22387363766272 23565646069760 24154787221504 27984204707840 28683809825536 30193484026880 35854762281920 37705033711616 39204780113920 43682661007360 44774727532544 47131292139520 48309574443008 55968409415680 57367619651072 60386968053760 71709524563840 78409560227840 87365322014720 89549455065088 94262584279040 96619148886016 111936818831360 114735239302144 120773936107520 143419049127680 179098910130176 188525168558080 193238297772032 223873637662720 229470478604288 241547872215040 286838098255360 358197820260352 386476595544064 447747275325440 458940957208576 483095744430080 573676196510720 716395640520704 772953191088128 895494550650880 917881914417152 966191488860160 1147352393021440 1545906382176256 1790989101301760 1835763828834304 1932382977720320 2294704786042880 3581978202603520 3671527657668608 3864765955440640 4589409572085760 7343055315337216 7729531910881280 9178819144171520 14686110630674432 18357638288343040 29372221261348864 36715276576686080 73430553153372160 146861106306744320
• Sum of all divisors σ(n): 380489871425940360
• Sum of proper divisors (its aliquot sum) s(n): 233628765119196040
• 146861106306744320 is an abundant number, because the sum of its proper divisors (233628765119196040) is greater than itself. Its abundance is 86767658812451720

Bases of 146861106306744320

• Binary: 1000001001110000010110010111101000101111000000000000000000₂
• Hexadecimal: 0x209C165E8BC0000
• Base-36: 1461X0UDMZ28

Squares and roots of 146861106306744320

• 146861106306744320 squared (146861106306744320²) is 21568184545640856282927917852262400
• 146861106306744320 cubed (146861106306744320³) is 3167527443400841734584956358784852436822490349568000
• The square root of 146861106306744320 is 383224615.9979083599
• The cube root of 146861106306744320 is 527596.9364995749

Scales and comparisons

• 146,861,106,306,744,320 seconds is equal to 4,669,728,909 years, 16 weeks, 6 days, 17 hours, 25 minutes, 20 seconds.
• To count from 1 to 146,861,106,306,744,320 would take you about fourteen billion, nine million, one hundred eighty-six thousand, seven hundred twenty-seven 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 146861106306744320 cubic inches would be around 43966.4 feet tall.

Recreational maths with 146861106306744320

• 146861106306744320 backwards is 023447603601168641
• The number of decimal digits it has is: 18
• The sum of 146861106306744320's digits is 62
• More coming soon!