409353645318144

Names of 409353645318144

• Cardinal: 409353645318144 can be written as Four hundred nine trillion, three hundred fifty-three billion, six hundred forty-five million, three hundred eighteen thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 4.09353645318144 × 10¹⁴

Factors of 409353645318144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 239

Divisors of 409353645318144

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 181 192 212 256 318 362 384 424 512 543 636 724 768 848 1024 1086 1272 1448 1536 1696 2048 2172 2544 2809 2896 3072 3392 4096 4344 5088 5618 5792 6144 6784 8192 8427 8688 9593 10176 11236 11584 12288 13568 16854 17376 19186 20352 22472 23168 24576 27136 28779 32761 33708 34752 38372 40704 44944 46336 54272 57558 65522 67416 69504 76744 81408 89888 92672 98283 108544 115116 131044 134832 139008 153488 162816 179776 185344 196566 217088 230232 262088 269664 278016 306976 325632 359552 370688 393132 434176 460464 508429 524176 539328 556032 613952 651264 719104 741376 786264 920928 1016858 1048352 1078656 1112064 1227904 1302528 1438208 1482752 1525287 1572528 1736333 1841856 2033716 2096704 2157312 2224128 2455808 2876416 3050574 3145056 3472666 3683712 4067432 4193408 4314624 4448256 4911616 5208999 5752832 5929741 6101148 6290112 6945332 7367424 8134864 8386816 8629248 9823232 10417998 11505664 11859482 12202296 12580224 13890664 14734848 16269728 16773632 17258496 17789223 19646464 20835996 23011328 23718964 24404592 25160448 27781328 29469696 32539456 33547264 34516992 35578446 39292928 41671992 47437928 48809184 50320896 55562656 58939392 65078912 67094528 69033984 71156892 78585856 83343984 92025649 94875856 97618368 100641792 111125312 117878784 130157824 134189056 142313784 166687968 184051298 189751712 195236736 201283584 222250624 235757568 260315648 268378112 276076947 284627568 314276273 333375936 368102596 379503424 390473472 402567168 444501248 520631296 552153894 569255136 628552546 666751872 736205192 759006848 780946944 805134336 889002496 942828819 1041262592 1104307788 1138510272 1257105092 1333503744 1472410384 1518013696 1561893888 1778004992 1885657638 2082525184 2208615576 2277020544 2514210184 2667007488 2944820768 3036027392 3123787776 3556009984 3771315276 4165050368 4417231152 4554041088 5028420368 5334014976 5889641536 6072054784 6247575552 7112019968 7542630552 8834462304 9108082176 10056840736 10668029952 11779283072 12144109568 12495151104 14224039936 15085261104 16656642469 17668924608 18216164352 20113681472 21336059904 23558566144 24288219136 30170522208 33313284938 35337849216 36432328704 40227362944 42672119808 47117132288 48576438272 49969927407 60341044416 66626569876 70675698432 72864657408 80454725888 94234264576 99939854814 120682088832 133253139752 141351396864 145729314816 160909451776 188468529152 199879709628 241364177664 266506279504 282702793728 321818903552 376937058304 399759419256 482728355328 533012559008 565405587456 643637807104 753874116608 799518838512 965456710656 1066025118016 1130811174912 1287275614208 1599037677024 1930913421312 2132050236032 2261622349824 2574551228416 3198075354048 3861826842624 4264100472064 6396150708096 7723653685248 8528200944128 12792301416192 17056401888256 25584602832384 34112803776512 51169205664768 68225607553024 102338411329536 136451215106048 204676822659072 409353645318144
• Sum of all divisors σ(n): 1118707538383344
• Sum of proper divisors (its aliquot sum) s(n): 709353893065200
• 409353645318144 is an abundant number, because the sum of its proper divisors (709353893065200) is greater than itself. Its abundance is 300000247747056

Bases of 409353645318144

• Binary: 1011101000100111000010010100111011110000000000000₂
• Hexadecimal: 0x1744E129DE000
• Base-36: 413QGV82YO

Squares and roots of 409353645318144

• 409353645318144 squared (409353645318144²) is 167570406935252837170975604736
• 409353645318144 cubed (409353645318144³) is 68595556926390547436539430633683725513129984
• The square root of 409353645318144 is 20232489.8447557363
• The cube root of 409353645318144 is 74250.5293265301

Scales and comparisons

• 409,353,645,318,144 seconds is equal to 13,016,179 years, 36 weeks, 5 days, 9 hours, 42 minutes, 24 seconds.
• To count from 1 to 409,353,645,318,144 would take you about thirty-two million, five hundred forty thousand, four hundred forty-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 409353645318144 cubic inches would be around 6187.5 feet tall.

Recreational maths with 409353645318144

• 409353645318144 backwards is 441813546353904
• The number of decimal digits it has is: 15
• The sum of 409353645318144's digits is 60
• More coming soon!