145646816292800

Names of 145646816292800

• Cardinal: 145646816292800 can be written as One hundred forty-five trillion, six hundred forty-six billion, eight hundred sixteen million, two hundred ninety-two thousand, eight hundred.

Scientific notation

• Scientific notation: 1.456468162928 × 10¹⁴

Factors of 145646816292800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1270

Divisors of 145646816292800

• Number of divisors d(n): 378
• Complete list of divisors:
  1 2 4 5 8 10 16 20 23 25 32 40 46 50 53 64 80 92 100 106 115 160 184 200 212 230 265 320 368 400 424 460 530 575 736 800 848 920 1060 1150 1187 1219 1325 1472 1600 1696 1840 2120 2300 2374 2438 2650 2809 3392 3680 4240 4600 4748 4876 5300 5618 5935 6095 7360 8480 9200 9496 9752 10600 11236 11870 12190 14045 16960 18400 18992 19504 21200 22472 23740 24380 27301 28090 29675 30475 36800 37984 39008 42400 44944 47480 48760 54602 56180 59350 60950 62911 64607 70225 75968 78016 84800 89888 94960 97520 109204 112360 118700 121900 125822 129214 136505 140450 179776 189920 195040 218408 224720 237400 243800 251644 258428 273010 280900 314555 323035 379840 390080 436816 449440 474800 487600 503288 516856 546020 561800 629110 646070 682525 873632 898880 949600 975200 1006576 1033712 1092040 1123600 1258220 1292140 1365050 1408969 1446953 1572775 1615175 1747264 1899200 1950400 2013152 2067424 2184080 2247200 2516440 2584280 2730100 2817938 2893906 3145550 3230350 3334283 4026304 4134848 4368160 4494400 5032880 5168560 5460200 5635876 5787812 6291100 6460700 6668566 7044845 7234765 8736320 10065760 10337120 10920400 11271752 11575624 12582200 12921400 13337132 14089690 14469530 16671415 20131520 20674240 21840800 22543504 23151248 25164400 25842800 26674264 28179380 28939060 32406287 33342830 35224225 36173825 43681600 45087008 46302496 50328800 51685600 53348528 56358760 57878120 64812574 66685660 70448450 72347650 74675357 76688509 83357075 90174016 92604992 100657600 103371200 106697056 112717520 115756240 129625148 133371320 140896900 144695300 149350714 153377018 162031435 166714150 213394112 225435040 231512480 259250296 266742640 281793800 289390600 298701428 306754036 324062870 333428300 373376785 383442545 450870080 463024960 518500592 533485280 563587600 578781200 597402856 613508072 648125740 666856600 746753570 766885090 810157175 1037001184 1066970560 1127175200 1157562400 1194805712 1227016144 1296251480 1333713200 1493507140 1533770180 1620314350 1717533211 1866883925 1917212725 2074002368 2254350400 2315124800 2389611424 2454032288 2592502960 2667426400 2987014280 3067540360 3240628700 3435066422 3733767850 3834425450 3957793921 4779222848 4908064576 5185005920 5334852800 5974028560 6135080720 6481257400 6870132844 7467535700 7668850900 7915587842 8587666055 10370011840 11948057120 12270161440 12962514800 13740265688 14935071400 15337701800 15831175684 17175332110 19788969605 23896114240 24540322880 25925029600 27480531376 29870142800 30675403600 31662351368 34350664220 39577939210 42938330275 51850059200 54961062752 59740285600 61350807200 63324702736 68701328440 79155878420 85876660550 91029260183 98944848025 109922125504 119480571200 122701614400 126649405472 137402656880 158311756840 171753321100 182058520366 197889696050 253298810944 274805313760 316623513680 343506642200 364117040732 395779392100 455146300915 549610627520 633247027360 687013284400 728234081464 791558784200 910292601830 1266494054720 1374026568800 1456468162928 1583117568400 1820585203660 2275731504575 2748053137600 2912936325856 3166235136800 3641170407320 4551463009150 5825872651712 6332470273600 7282340814640 9102926018300 14564681629280 18205852036600 29129363258560 36411704073200 72823408146400 145646816292800
• Sum of all divisors σ(n): 381474464545608
• Sum of proper divisors (its aliquot sum) s(n): 235827648252808
• 145646816292800 is an abundant number, because the sum of its proper divisors (235827648252808) is greater than itself. Its abundance is 90180831960008

Bases of 145646816292800

• Binary: 100001000111011100001010101111110110111111000000₂
• Hexadecimal: 0x84770ABF6FC0
• Base-36: 1FML81XJ28

Squares and roots of 145646816292800

• 145646816292800 squared (145646816292800²) is 21212995096228631535331840000
• 145646816292800 cubed (145646816292800³) is 3089605199800478755334017312966602752000000
• The square root of 145646816292800 is 12068422.2785250601
• The cube root of 145646816292800 is 52613.8802411731

Scales and comparisons

• 145,646,816,292,800 seconds is equal to 4,631,118 years, 12 weeks, 4 days, 10 hours, 13 minutes, 20 seconds.
• To count from 1 to 145,646,816,292,800 would take you about eleven million, five hundred seventy-seven thousand, seven hundred ninety-five 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 145646816292800 cubic inches would be around 4384.5 feet tall.

Recreational maths with 145646816292800

• 145646816292800 backwards is 008292618646541
• The number of decimal digits it has is: 15
• The sum of 145646816292800's digits is 62
• More coming soon!