34494135742944

Names of 34494135742944

• Cardinal: 34494135742944 can be written as Thirty-four trillion, four hundred ninety-four billion, one hundred thirty-five million, seven hundred forty-two thousand, nine hundred forty-four.

Scientific notation

• Scientific notation: 3.4494135742944 × 10¹³

Factors of 34494135742944

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 8288

Divisors of 34494135742944

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 72 76 93 96 108 114 124 144 152 171 186 216 228 248 279 288 304 342 372 432 456 496 513 558 589 608 684 744 837 864 912 992 1026 1116 1178 1368 1488 1674 1767 1824 2052 2232 2356 2736 2976 3348 3534 4104 4464 4712 5301 5472 6696 7068 8208 8233 8928 9424 10602 13392 14136 15903 16416 16466 18848 21204 24699 26784 28272 31806 32932 42408 49398 56544 63612 65864 74097 84816 98796 127224 131728 148194 156427 169632 197592 222291 254448 255223 263456 296388 312854 395184 444582 469281 508896 510446 592776 625708 765669 790368 889164 938562 1020892 1185552 1251416 1407843 1531338 1778328 1877124 2041784 2297007 2371104 2502832 2815686 3062676 3556656 3754248 4083568 4223529 4594014 4849237 5005664 5631372 6125352 6891021 7113312 7508496 8167136 8447058 9188028 9698474 11262744 12250704 13782042 14547711 15016992 16894116 18376056 19396948 22525488 24501408 27564084 29095422 33788232 36752112 38793896 43643133 45050976 55128168 58190844 67576464 67782289 73504224 77587792 87286266 110256336 116381688 130929399 135152928 135564578 155175584 174572532 203346867 220512672 232763376 261858798 271129156 349145064 406693734 465526752 523717596 542258312 610040601 698290128 813387468 1047435192 1084516624 1220081202 1287863491 1396580256 1626774936 1830121803 2094870384 2101250959 2169033248 2440162404 2575726982 3253549872 3660243606 3863590473 4189740768 4202501918 4880324808 5151453964 6303752877 6507099744 7320487212 7727180946 8405003836 9760649616 10302907928 11590771419 12607505754 14640974424 15454361892 16810007672 18911258631 19521299232 20605815856 23181542838 25215011508 29281948848 30908723784 33620015344 34772314257 37822517262 39923768221 41211631712 46363085676 50430023016 56733775893 58563897696 61817447568 67240030688 69544628514 75645034524 79847536442 92726171352 100860046032 113467551786 119771304663 123634895136 139089257028 151290069048 159695072884 185452342704 201720092064 226935103572 239542609326 278178514056 302580138096 319390145768 359313913989 370904685408 453870207144 479085218652 556357028112 605160276192 638780291536 718627827978 907740414288 958170437304 1077941741967 1112714056224 1277560583072 1437255655956 1815480828576 1916340874608 2155883483934 2874511311912 3832681749216 4311766967868 5749022623824 8623533935736 11498045247648 17247067871472 34494135742944
• Sum of all divisors σ(n): 109332555494400
• Sum of proper divisors (its aliquot sum) s(n): 74838419751456
• 34494135742944 is an abundant number, because the sum of its proper divisors (74838419751456) is greater than itself. Its abundance is 40344284008512

Bases of 34494135742944

• Binary: 111110101111101001010101101010011000111100000₂
• Hexadecimal: 0x1F5F4AB531E0
• Base-36: C86DXT4O0

Squares and roots of 34494135742944

• 34494135742944 squared (34494135742944²) is 1189845400652646818845787136
• 34494135742944 cubed (34494135742944³) is 41042688763229988819067163831011837968384
• The square root of 34494135742944 is 5873170.8423086077
• The cube root of 34494135742944 is 32552.3057516071

Scales and comparisons

• 34,494,135,742,944 seconds is equal to 1,096,806 years, 42 weeks, 4 days, 5 hours, 2 minutes, 24 seconds.
• To count from 1 to 34,494,135,742,944 would take you about two million, seven hundred forty-two thousand and 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 34494135742944 cubic inches would be around 2712.7 feet tall.

Recreational maths with 34494135742944

• 34494135742944 backwards is 44924753149443
• The number of decimal digits it has is: 14
• The sum of 34494135742944's digits is 63
• More coming soon!