135213152948224

Names of 135213152948224

• Cardinal: 135213152948224 can be written as One hundred thirty-five trillion, two hundred thirteen billion, one hundred fifty-two million, nine hundred forty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.35213152948224 × 10¹⁴

Factors of 135213152948224

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 8053

Divisors of 135213152948224

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 169 208 232 256 338 377 416 464 512 676 754 832 841 928 1024 1352 1508 1664 1682 1856 2048 2704 3016 3328 3364 3712 4096 4901 5408 6032 6656 6728 7424 8009 9802 10816 10933 12064 13312 13456 14848 16018 19604 21632 21866 24128 24389 26624 26912 29696 32036 39208 43264 43732 48256 48778 53248 53824 59392 64072 78416 86528 87464 96512 97556 104117 107648 118784 128144 142129 156832 173056 174928 193024 195112 208234 215296 232261 256288 284258 313664 317057 346112 349856 386048 390224 416468 430592 464522 512576 568516 627328 634114 692224 699712 772096 780448 832936 861184 929044 1025152 1137032 1254656 1268228 1353521 1399424 1544192 1560896 1665872 1722368 1858088 2050304 2274064 2509312 2536456 2707042 2798848 3019393 3121792 3331744 3444736 3716176 4100608 4121741 4548128 5018624 5072912 5414084 5597696 6038786 6243584 6663488 6735569 7432352 8201216 8243482 9096256 10037248 10145824 10828168 11195392 12077572 12487168 13326976 13471138 14864704 16402432 16486964 18192512 20074496 20291648 21656336 22390784 24155144 24974336 26653952 26942276 29729408 32804864 32973928 36385024 39252109 40583296 43312672 44781568 48310288 49948672 53307904 53884552 59458816 65947856 72770048 78504218 81166592 86625344 87562397 96620576 99897344 106615808 107769104 118917632 131895712 145540096 157008436 162333184 173250688 175124794 193241152 195331501 213231616 215538208 237835264 263791424 291080192 314016872 324666368 346501376 350249588 386482304 390663002 426463232 431076416 475670528 527582848 582160384 628033744 649332736 693002752 700499176 772964608 781326004 862152832 951341056 1055165696 1138311161 1256067488 1298665472 1386005504 1400998352 1545929216 1562652008 1724305664 2110331392 2276622322 2512134976 2539309513 2772011008 2801996704 3091858432 3125304016 3448611328 4220662784 4553244644 5024269952 5078619026 5544022016 5603993408 6183716864 6250608032 6897222656 8441325568 9106489288 10048539904 10157238052 11207986816 12367433728 12501216064 13794445312 16882651136 18212978576 20097079808 20314476104 22415973632 25002432128 27588890624 33011023669 36425957152 40194159616 40628952208 44831947264 50004864256 66022047338 72851914304 80388319232 81257904416 89663894528 100009728512 132044094676 145703828608 160776638464 162515808832 179327789056 200019457024 264088189352 291407657216 325031617664 358655578112 400038914048 528176378704 582815314432 650063235328 800077828096 1056352757408 1165630628864 1300126470656 2112705514816 2331261257728 2600252941312 4225411029632 4662522515456 5200505882624 8450822059264 10401011765248 16901644118528 33803288237056 67606576474112 135213152948224
• Sum of all divisors σ(n): 303287057767800
• Sum of proper divisors (its aliquot sum) s(n): 168073904819576
• 135213152948224 is an abundant number, because the sum of its proper divisors (168073904819576) is greater than itself. Its abundance is 32860751871352

Bases of 135213152948224

• Binary: 11110101111100111000011111100110101000000000000₂
• Hexadecimal: 0x7AF9C3F35000
• Base-36: 1BXG2C5Y4G

Squares and roots of 135213152948224

• 135213152948224 squared (135213152948224²) is 18282596730199816583224754176
• 135213152948224 cubed (135213152948224³) is 2472047547971207791936680216373832055783424
• The square root of 135213152948224 is 11628119.0632115561
• The cube root of 135213152948224 is 51326.2631967465

Scales and comparisons

• 135,213,152,948,224 seconds is equal to 4,299,360 years, 1 week, 1 day, 17 minutes, 4 seconds.
• To count from 1 to 135,213,152,948,224 would take you about ten million, seven hundred forty-eight thousand, four hundred 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 135213152948224 cubic inches would be around 4277.2 feet tall.

Recreational maths with 135213152948224

• 135213152948224 backwards is 422849251312531
• 135213152948224 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135213152948224's digits is 52
• More coming soon!