72157487568768

Names of 72157487568768

• Cardinal: 72157487568768 can be written as Seventy-two trillion, one hundred fifty-seven billion, four hundred eighty-seven million, five hundred sixty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 7.2157487568768 × 10¹³

Factors of 72157487568768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 90193

Divisors of 72157487568768

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 79 84 96 108 112 126 128 144 158 168 189 192 216 224 237 252 288 316 336 378 384 421 432 448 474 504 553 576 632 672 711 756 842 864 896 948 1008 1106 1152 1263 1264 1344 1422 1512 1659 1684 1728 1896 2016 2133 2212 2526 2528 2688 2844 2947 3024 3318 3368 3456 3789 3792 4032 4266 4424 4977 5052 5056 5688 5894 6048 6636 6736 7578 7584 8064 8532 8841 8848 9954 10104 10112 11367 11376 11788 12096 13272 13472 14931 15156 15168 17064 17682 17696 19908 20208 22734 22752 23576 24192 26523 26544 26944 29862 30312 30336 33259 34128 35364 35392 39816 40416 45468 45504 47152 53046 53088 53888 59724 60624 66518 68256 70728 70784 79569 79632 80832 89681 90936 91008 94304 99777 106092 106176 119448 121248 133036 136512 141456 159138 159264 161664 179362 181872 188608 199554 212184 212352 232813 238896 242496 266072 269043 273024 282912 299331 318276 318528 358724 363744 377216 399108 424368 465626 477792 484992 532144 538086 565824 598662 627767 636552 637056 698439 717448 727488 798216 807129 848736 897993 931252 955584 1064288 1076172 1131648 1197324 1255534 1273104 1396878 1434896 1454976 1596432 1614258 1697472 1795986 1862504 1883301 1911168 2095317 2128576 2152344 2394648 2421387 2511068 2546208 2793756 2869792 3192864 3228516 3394944 3591972 3725008 3766602 4190634 4257152 4304688 4789296 4842774 5022136 5092416 5587512 5649903 5739584 6285951 6385728 6457032 7084799 7183944 7450016 7533204 8381268 8609376 9578592 9685548 10044272 10184832 11175024 11299806 11479168 12571902 12771456 12914064 14169598 14367888 14900032 15066408 16762536 16949709 17218752 19157184 19371096 20088544 21254397 22350048 22599612 25143804 25828128 28339196 28735776 29800064 30132816 33525072 33899418 34437504 37755701 38314368 38742192 40177088 42508794 44700096 45199224 49593593 50287608 51656256 56678392 57471552 60265632 63763191 67050144 67798836 75511402 77484384 80354176 85017588 89400192 90398448 99187186 100575216 103312512 113267103 113356784 114943104 120531264 127526382 134100288 135597672 148780779 151022804 154968768 170035176 180796896 191289573 198374372 201150432 226534206 226713568 241062528 255052764 264289907 268200576 271195344 297561558 302045608 309937536 339801309 340070352 361593792 382579146 396748744 402300864 446342337 453068412 453427136 510105528 528579814 542390688 595123116 604091216 679602618 680140704 723187584 765158292 792869721 793497488 804601728 892684674 906136824 906854272 1019403927 1020211056 1057159628 1084781376 1190246232 1208182432 1339027011 1359205236 1360281408 1530316584 1585739442 1586994976 1785369348 1812273648 2038807854 2040422112 2114319256 2169562752 2378609163 2380492464 2416364864 2678054022 2718410472 2720562816 2982700379 3060633168 3171478884 3173989952 3570738696 3624547296 4077615708 4080844224 4228638512 4757218326 4760984928 4832729728 5356108044 5436820944 5965400758 6121266336 6342957768 6347979904 7135827489 7141477392 7249094592 8155231416 8161688448 8457277024 8948101137 9514436652 9521969856 10712216088 10873641888 11930801516 12242532672 12685915536 14271654978 14282954784 14498189184 16310462832 16914554048 17896202274 19028873304 19043939712 20878902653 21424432176 21747283776 23861603032 24485065344 25371831072 26844303411 28543309956 28565909568 32620925664 33829108096 35792404548 38057746608 41757805306 42848864352 43494567552 47723206064 50743662144 53688606822 57086619912 57131819136 62636707959 65241851328 71584809096 76115493216 80532910233 83515610612 85697728704 95446412128 101487324288 107377213644 114173239824 125273415918 130483702656 143169618192 152230986432 161065820466 167031221224 171395457408 187910123877 190892824256 214754427288 228346479648 250546831836 286339236384 304461972864 322131640932 334062442448 375820247754 381785648512 429508854576 456692959296 501093663672 563730371631 572678472768 644263281864 668124884896 751640495508 859017709152 913385918592 1002187327344 1127460743262 1145356945536 1288526563728 1336249769792 1503280991016 1718035418304 2004374654688 2254921486524 2577053127456 2672499539584 3006561982032 3436070836608 4008749309376 4509842973048 5154106254912 6013123964064 8017498618752 9019685946096 10308212509824 12026247928128 18039371892192 24052495856256 36078743784384 72157487568768
• Sum of all divisors σ(n): 247057408512000
• Sum of proper divisors (its aliquot sum) s(n): 174899920943232
• 72157487568768 is an abundant number, because the sum of its proper divisors (174899920943232) is greater than itself. Its abundance is 102742433374464

Bases of 72157487568768

• Binary: 10000011010000001111001011010100001011110000000₂
• Hexadecimal: 0x41A0796A1780
• Base-36: PKSOX1PC0

Squares and roots of 72157487568768

• 72157487568768 squared (72157487568768²) is 5206703012236908455529037824
• 72157487568768 cubed (72157487568768³) is 375702607879751621663988573342128073080832
• The square root of 72157487568768 is 8494556.3491431383
• The cube root of 72157487568768 is 41631.9865339111

Scales and comparisons

• 72,157,487,568,768 seconds is equal to 2,294,384 years, 47 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 72,157,487,568,768 would take you about five million, seven hundred thirty-five thousand, nine hundred sixty-two 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 72157487568768 cubic inches would be around 3469.3 feet tall.

Recreational maths with 72157487568768

• 72157487568768 backwards is 86786578475127
• The number of decimal digits it has is: 14
• The sum of 72157487568768's digits is 81
• More coming soon!