442440742319424

Names of 442440742319424

• Cardinal: 442440742319424 can be written as Four hundred forty-two trillion, four hundred forty billion, seven hundred forty-two million, three hundred nineteen thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 4.42440742319424 × 10¹⁴

Factors of 442440742319424

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5468865

Divisors of 442440742319424

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 64 69 72 92 93 96 124 138 144 184 186 192 197 207 248 276 279 288 368 372 394 414 496 552 558 576 591 713 736 744 788 828 992 1104 1116 1182 1426 1472 1488 1576 1656 1773 1984 2139 2208 2232 2364 2852 2976 3152 3312 3546 4278 4416 4464 4531 4728 5704 5952 6107 6304 6417 6624 7092 8556 8928 9062 9456 11408 12214 12608 12834 13248 13593 14184 17112 17856 18124 18321 18912 22816 24428 25668 27186 28368 34224 36248 36642 37824 40779 45632 48856 51336 54372 54963 56736 68448 72496 73284 81558 97712 102672 108744 109926 113472 136896 140461 144992 146568 163116 195424 205344 217488 219852 280922 289984 293136 326232 390848 410688 421383 434976 439704 561844 586272 652464 842766 869952 879408 1123688 1172544 1264149 1304928 1685532 1758816 2247376 2528298 2609856 3371064 3517632 4494752 5056596 5468609 6742128 8989504 10113192 10937218 13484256 16405827 20226384 21874436 26968512 32811654 40452768 43748872 49217481 65623308 80905536 87497744 98434962 125778007 131246616 169526879 174995488 196869924 251556014 262493232 339053758 349990976 377334021 393739848 503112028 508580637 524986464 678107516 754668042 787479696 1006224056 1017161274 1049972928 1077315973 1132002063 1356215032 1509336084 1525741911 1574959392 2012448112 2034322548 2154631946 2264004126 2712430064 3018672168 3051483822 3149918784 3231947919 3899118217 4024896224 4068645096 4309263892 4528008252 5424860128 6037344336 6102967644 6463895838 7798236434 8049792448 8137290192 8618527784 9056016504 9695843757 10849720256 11697354651 12074688672 12205935288 12927791676 15596472868 16274580384 17237055568 18112033008 19391687514 23394709302 24149377344 24411870576 24778267379 25855583352 31192945736 32549160768 33396795163 34474111136 35092063953 36224066016 38783375028 46789418604 48823741152 49556534758 51711166704 62385891472 66793590326 68948222272 70184127906 72448132032 74334802137 77566750056 93578837208 97647482304 99113069516 100190385489 103422333408 124771782944 133587180652 140368255812 148669604274 155133500112 187157674416 198226139032 200380770978 206844666816 223004406411 249543565888 267174361304 280736511624 297339208548 300571156467 310267000224 374315348832 396452278064 400761541956 446008812822 534348722608 561473023248 594678417096 601142312934 620534000448 748630697664 768126288749 792904556128 801523083912 892017625644 1068697445216 1122946046496 1189356834192 1202284625868 1536252577498 1585809112256 1603046167824 1784035251288 2137394890432 2245892092992 2304378866247 2378713668384 2404569251736 3072505154996 3206092335648 3568070502576 4608757732494 4757427336768 4809138503472 6145010309992 6412184671296 6913136598741 7136141005152 9217515464988 9618277006944 12290020619984 13826273197482 14272282010304 18435030929976 19236554013888 24580041239968 27652546394964 36870061859952 49160082479936 55305092789928 73740123719904 110610185579856 147480247439808 221220371159712 442440742319424
• Sum of all divisors σ(n): 1372936451927040
• Sum of proper divisors (its aliquot sum) s(n): 930495709607616
• 442440742319424 is an abundant number, because the sum of its proper divisors (930495709607616) is greater than itself. Its abundance is 488054967288192

Bases of 442440742319424

• Binary: 1100100100110010111000011010001111011010101000000₂
• Hexadecimal: 0x19265C347B540
• Base-36: 4CTYGYHU80

Squares and roots of 442440742319424

• 442440742319424 squared (442440742319424²) is 195753810464162947247247691776
• 442440742319424 cubed (442440742319424³) is 86609461213620083942683911468665584489857024
• The square root of 442440742319424 is 21034275.4170288453
• The cube root of 442440742319424 is 76199.4267425077

Scales and comparisons

• 442,440,742,319,424 seconds is equal to 14,068,247 years, 2 weeks, 2 days, 23 hours, 50 minutes, 24 seconds.
• To count from 1 to 442,440,742,319,424 would take you about thirty-five million, one hundred seventy thousand, six hundred seventeen 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 442440742319424 cubic inches would be around 6350 feet tall.

Recreational maths with 442440742319424

• 442440742319424 backwards is 424913247044244
• The number of decimal digits it has is: 15
• The sum of 442440742319424's digits is 54
• More coming soon!