13745538918200448

Names of 13745538918200448

• Cardinal: 13745538918200448 can be written as Thirteen quadrillion, seven hundred forty-five trillion, five hundred thirty-eight billion, nine hundred eighteen million, two hundred thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.3745538918200448 × 10¹⁶

Factors of 13745538918200448

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 60625

Divisors of 13745538918200448

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 288 304 324 342 361 384 432 456 513 576 608 648 684 722 864 912 1026 1083 1152 1216 1296 1368 1444 1539 1728 1824 2052 2166 2432 2592 2736 2888 3078 3249 3456 3648 4104 4332 5184 5472 5776 6156 6498 7296 8208 8664 9747 10368 10944 11552 12312 12996 16416 17328 19494 21888 23104 24624 25992 29241 32832 34656 38988 46208 49248 51984 58482 60601 65664 69312 77976 98496 103968 116964 121202 138624 155952 181803 196992 207936 233928 242404 311904 363606 415872 467856 484808 545409 623808 727212 935712 969616 1090818 1151419 1247616 1454424 1636227 1871424 1939232 2181636 2302838 2908848 3272454 3454257 3742848 3878464 4363272 4605676 4908681 5817696 6544908 6908514 7756928 8726544 9211352 9817362 10362771 11635392 13089816 13817028 17453088 18422704 19634724 20725542 21876961 23270784 26179632 27634056 31088313 34906176 36845408 39269448 41451084 43753922 52359264 55268112 62176626 65630883 69812352 73690816 78538896 82902168 87507844 93264939 104718528 110536224 124353252 131261766 147381632 157077792 165804336 175015688 186529878 196892649 209437056 221072448 248706504 262523532 314155584 331608672 350031376 373059756 393785298 442144896 497413008 525047064 590677947 628311168 663217344 700062752 746119512 787570596 994826016 1050094128 1181355894 1326434688 1400125504 1492239024 1575141192 1772033841 1989652032 2100188256 2362711788 2800251008 2984478048 3150282384 3544067682 3672481201 3979304064 4200376512 4725423576 5968956096 6300564768 7088135364 7344962402 8400753024 9450847152 11017443603 11937912192 12601129536 14176270728 14689924804 18901694304 22034887206 25202259072 28352541456 29379849608 33052330809 37803388608 44069774412 56705082912 58759699216 66104661618 69777142819 75606777216 88139548824 99156992427 113410165824 117519398432 132209323236 139554285638 176279097648 198313984854 209331428457 226820331648 235038796864 264418646472 279108571276 297470977281 352558195296 396627969708 418662856914 470077593728 528837292944 558217142552 594941954562 627994285371 705116390592 793255939416 837325713828 1057674585888 1116434285104 1189883909124 1255988570742 1325765713561 1410232781184 1586511878832 1674651427656 1883982856113 2115349171776 2232868570208 2379767818248 2511977141484 2651531427122 3173023757664 3349302855312 3767965712226 3977297140683 4230698343552 4465737140416 4759535636496 5023954282968 5303062854244 5651948568339 6346047515328 6698605710624 7535931424452 7954594281366 8931474280832 9519071272992 10047908565936 10606125708488 11303897136678 11931891422049 12692095030656 13397211421248 15071862848904 15909188562732 19038142545984 20095817131872 21212251416976 22607794273356 23863782844098 26794422842496 30143725697808 31818377125464 35795674266147 38076285091968 40191634263744 42424502833952 45215588546712 47727565688196 60287451395616 63636754250928 71591348532294 80383268527488 84849005667904 90431177093424 95455131376392 107387022798441 120574902791232 127273508501856 143182697064588 169698011335808 180862354186848 190910262752784 214774045596882 241149805582464 254547017003712 286365394129176 361724708373696 381820525505568 429548091193764 509094034007424 572730788258352 723449416747392 763641051011136 859096182387528 1145461576516704 1527282102022272 1718192364775056 2290923153033408 3436384729550112 4581846306066816 6872769459100224 13745538918200448
• Sum of all divisors σ(n): 43173501663326265
• Sum of proper divisors (its aliquot sum) s(n): 29427962745125817
• 13745538918200448 is an abundant number, because the sum of its proper divisors (29427962745125817) is greater than itself. Its abundance is 15682423826925369

Bases of 13745538918200448

• Binary: 110000110101010111111010101100011101110011010010000000₂
• Hexadecimal: 0x30D57EAC773480
• Base-36: 3RCDXEKLK00

Squares and roots of 13745538918200448

• 13745538918200448 squared (13745538918200448²) is 188939840151763142294110707400704
• 13745538918200448 cubed (13745538918200448³) is 2597079926004631911800411149123457355675328315392
• The square root of 13745538918200448 is 117241370.3357328045
• The cube root of 13745538918200448 is 239545.0810616513

Scales and comparisons

• 13,745,538,918,200,448 seconds is equal to 437,065,619 years, 44 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 13,745,538,918,200,448 would take you about one billion, three hundred eleven million, one hundred ninety-six thousand, eight hundred fifty-nine 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 13745538918200448 cubic inches would be around 19962.1 feet tall.

Recreational maths with 13745538918200448

• 13745538918200448 backwards is 84400281983554731
• 13745538918200448 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13745538918200448's digits is 72
• More coming soon!