138516801595392

Names of 138516801595392

• Cardinal: 138516801595392 can be written as One hundred thirty-eight trillion, five hundred sixteen billion, eight hundred one million, five hundred ninety-five thousand, three hundred ninety-two.

Scientific notation

• Scientific notation: 1.38516801595392 × 10¹⁴

Factors of 138516801595392

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 6724

Divisors of 138516801595392

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 31 32 33 37 44 48 62 64 66 74 88 93 96 111 124 128 132 148 176 186 192 222 248 256 264 281 296 341 352 372 384 407 444 496 512 528 562 592 682 704 744 768 814 843 888 992 1023 1024 1056 1124 1147 1184 1221 1364 1408 1488 1536 1628 1686 1776 1984 2046 2048 2112 2248 2294 2368 2442 2728 2816 2976 3072 3091 3256 3372 3441 3552 3968 4092 4224 4496 4588 4736 4884 5456 5632 5952 6144 6182 6359 6512 6744 6882 7104 7936 8184 8448 8711 8992 9176 9273 9472 9768 10397 10912 11264 11904 12364 12617 12718 13024 13488 13764 14208 15872 16368 16896 17422 17984 18352 18546 18944 19077 19536 20794 21824 22528 23808 24728 25234 25436 26048 26133 26976 27528 28416 31191 31744 32736 33792 34844 35968 36704 37092 37851 37888 38154 39072 41588 43648 47616 49456 50468 50872 52096 52266 53952 55056 56832 62382 63488 65472 67584 69688 69949 71936 73408 74184 75702 75776 76308 78144 83176 87296 95232 95821 98912 100936 101744 104192 104532 107904 110112 113664 114367 124764 130944 139376 139898 143872 146816 148368 151404 152616 156288 166352 174592 190464 191642 197129 197824 201872 203488 208384 209064 209847 215808 220224 227328 228734 235283 249528 261888 278752 279796 287463 287744 293632 296736 302808 305232 312576 322307 332704 343101 349184 383284 394258 395648 403744 406976 416768 418128 419694 431616 440448 457468 470566 499056 523776 557504 559592 574926 575488 587264 591387 593472 605616 610464 625152 644614 665408 686202 698368 705849 766568 788516 791296 807488 813952 833536 836256 839388 863232 880896 914936 941132 966921 998112 1047552 1115008 1119184 1149852 1174528 1182774 1186944 1211232 1220928 1250304 1289228 1330816 1372404 1411698 1533136 1577032 1582592 1614976 1627904 1672512 1678776 1726464 1761792 1786879 1829872 1882264 1933842 1996224 2095104 2168419 2230016 2238368 2299704 2349056 2365548 2373888 2422464 2441856 2500608 2578456 2588113 2661632 2744808 2823396 3066272 3154064 3165184 3229952 3255808 3345024 3357552 3523584 3545377 3573758 3659744 3764528 3867684 3992448 4336838 4460032 4476736 4599408 4731096 4747776 4844928 4883712 5156912 5176226 5323264 5360637 5489616 5646792 6132544 6308128 6330368 6459904 6505257 6511616 6690048 6715104 7047168 7090754 7147516 7293773 7319488 7529056 7735368 7764339 7984896 8673676 8920064 8953472 9198816 9462192 9495552 9689856 9767424 10313824 10352452 10636131 10646528 10721274 10979232 11293584 12265088 12616256 12919808 13010514 13023232 13380096 13430208 14181508 14295032 14587546 14638976 15058112 15470736 15528678 15969792 17347352 17840128 17906944 18397632 18924384 18991104 19379712 19534848 19655669 20627648 20704904 21272262 21293056 21442548 21881319 21958464 22587168 24530176 25232512 25839616 26021028 26760192 26860416 28363016 28590064 29175092 29277952 30116224 30941472 31057356 31939584 34694704 35813888 36795264 37848768 38759424 39069696 39311338 41255296 41409808 42544524 42885096 43762638 43916928 45174336 49060352 50465024 52042056 53520384 53720832 55393249 56726032 57180128 58350184 58555904 58967007 60232448 61882944 62114712 63879168 66114523 69389408 71627776 73590528 75697536 77518848 78622676 80231503 82510592 82819616 85089048 85770192 87525276 87833856 90348672 98120704 100930048 104084112 107441664 110786498 113452064 114360256 116700368 117111808 117934014 120464896 123765888 124229424 132229046 138778816 143255552 147181056 151395072 157245352 160463006 165021184 165639232 166179747 170178096 171540384 175050552 175667712 180697344 196241408 198343569 201860096 208168224 214883328 221572996 226904128 228720512 233400736 234223616 235868028 240694509 240929792 247531776 248458848 264458092 277557632 294362112 302790144 314490704 320926012 330042368 331278464 332359494 340356192 343080768 350101104 351335424 361394688 396687138 403720192 416336448 429766656 443145992 453808256 457441024 466801472 471736056 481389018 481859584 495063552 496917696 528916184 555115264 588724224 605580288 609325739 628981408 641852024 660084736 662556928 664718988 680712384 686161536 700202208 702670848 722789376 727259753 793374276 832672896 886291984 907616512 914882048 933602944 943472112 962778036 990127104 993835392 1057832368 1110230528 1211160576 1218651478 1257962816 1283704048 1325113856 1329437976 1361424768 1372323072 1400404416 1445578752 1454519506 1586748552 1665345792 1772583968 1815233024 1827977217 1829764096 1867205888 1886944224 1925556072 1980254208 1987670784 2049550213 2115664736 2181779259 2220461056 2437302956 2515925632 2567408096 2650227712 2658875952 2722849536 2744646144 2800808832 2909039012 3173497104 3330691584 3545167936 3630466048 3655954434 3659528192 3734411776 3773888448 3851112144 3975341568 4099100426 4231329472 4363558518 4440922112 4874605912 5031851264 5134816192 5300455424 5317751904 5445699072 5489292288 5601617664 5818078024 6148650639 6346994208 6661383168 7090335872 7260932096 7311908868 7468823552 7547776896 7702224288 7950683136 8198200852 8462658944 8727117036 9749211824 10063702528 10269632384 10635503808 10891398144 10978584576 11203235328 11636156048 12297301278 12693988416 13322766336 14180671744 14623817736 14937647104 15095553792 15404448576 15901366272 16396401704 16925317888 17454234072 19498423648 20127405056 20539264768 21271007616 21782796288 22406470656 22545052343 23272312096 24594602556 25387976832 28361343488 29247635472 30191107584 30808897152 32792803408 33850635776 34908468144 38996847296 40254810112 41078529536 42542015232 44812941312 45090104686 46544624192 49189205112 50775953664 56722686976 58495270944 60382215168 61617794304 65585606816 67635157029 67701271552 69816936288 77993694592 82157059072 85084030464 90180209372 93089248384 98378410224 101551907328 113445373952 116990541888 120764430336 123235588608 131171213632 135270314058 135402543104 139633872576 155987389184 164314118144 170168060928 180360418744 186178496768 196756820448 203103814656 233981083776 246471177216 262342427264 270540628116 279267745152 311974778368 340336121856 360720837488 372356993536 393513640896 406207629312 467962167552 492942354432 524684854528 541081256232 558535490304 623949556736 721441674976 744713987072 787027281792 935924335104 1049369709056 1082162512464 1117070980608 1247899113472 1442883349952 1489427974144 1574054563584 1871848670208 2098739418112 2164325024928 2234141961216 2885766699904 3148109127168 3743697340416 4197478836224 4328650049856 4468283922432 5771533399808 6296218254336 8657300099712 11543066799616 12592436508672 17314600199424 23086133599232 34629200398848 46172267198464 69258400797696 138516801595392
• Sum of all divisors σ(n): 428681698099200
• Sum of proper divisors (its aliquot sum) s(n): 290164896503808
• 138516801595392 is an abundant number, because the sum of its proper divisors (290164896503808) is greater than itself. Its abundance is 151648094908416

Bases of 138516801595392

• Binary: 11111011111101011110100110000010010100000000000₂
• Hexadecimal: 0x7DFAF4C12800
• Base-36: 1D3LQN9SLC

Squares and roots of 138516801595392

• 138516801595392 squared (138516801595392²) is 19186904324217191716475633664
• 138516801595392 cubed (138516801595392³) is 2657708619507361565174225980041049342476288
• The square root of 138516801595392 is 11769316.1056788683
• The cube root of 138516801595392 is 51740.9206031147

Scales and comparisons

• 138,516,801,595,392 seconds is equal to 4,404,405 years, 43 weeks, 1 day, 4 hours, 3 minutes, 12 seconds.
• To count from 1 to 138,516,801,595,392 would take you about eleven million, eleven thousand and fourteen 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 138516801595392 cubic inches would be around 4311.7 feet tall.

Recreational maths with 138516801595392

• 138516801595392 backwards is 293595108615831
• 138516801595392 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138516801595392's digits is 66
• More coming soon!