34442172457443720

Names of 34442172457443720

• Cardinal: 34442172457443720 can be written as Thirty-four quadrillion, four hundred forty-two trillion, one hundred seventy-two billion, four hundred fifty-seven million, four hundred forty-three thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 3.444217245744372 × 10¹⁶

Factors of 34442172457443720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2349930411

Divisors of 34442172457443720

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 331 360 369 410 492 540 615 662 738 820 984 993 1080 1107 1230 1324 1476 1640 1655 1845 1986 2214 2460 2648 2952 2979 3310 3690 3972 4428 4920 4965 5535 5958 6620 7380 7944 8856 8937 9930 11070 11916 13240 13571 14760 14895 17874 19860 22140 23832 27142 29790 35748 39720 40713 44280 44685 54284 59580 67855 71496 81426 89370 108568 119160 122139 135710 162852 178740 203565 244278 271420 325704 357480 366417 407130 488556 542840 610695 732834 814260 977112 1221390 1465668 1628520 1832085 2442780 2931336 3664170 4885560 7328340 14656680 2349930029 4699860058 7049790087 9399720116 11749650145 14099580174 18799440232 21149370261 23499300290 28199160348 35248950435 42298740522 46998600580 56398320696 63448110783 70497900870 84597481044 93997201160 96347131189 105746851305 126896221566 140995801740 169194962088 192694262378 211493702610 253792443132 281991603480 289041393567 317240553915 385388524756 422987405220 481735655945 507584886264 578082787134 634481107830 770777049512 777826839599 845974810440 867124180701 963471311890 1156165574268 1268962215660 1445206967835 1555653679198 1734248361402 1926942623780 2312331148536 2333480518797 2537924431320 2601372542103 2890413935670 3111307358396 3468496722804 3853885247560 3889134197995 4335620903505 4666961037594 5202745084206 5780827871340 6222614716792 6936993445608 7000441556391 7778268395990 8671241807010 9333922075188 10405490168412 11561655742680 11667402593985 13006862710515 14000883112782 15556536791980 17342483614020 18667844150376 20810980336824 21001324669173 23334805187970 26013725421030 28001766225564 31113073583960 31890900423559 34684967228040 35002207781955 42002649338346 46669610375940 52027450842060 56003532451128 63781800847118 70004415563910 84005298676692 93339220751880 95672701270677 104054901684120 105006623345865 127563601694236 140008831127820 159454502117795 168010597353384 191345402541354 210013246691730 255127203388472 280017662255640 287018103812031 318909004235590 382690805082708 420026493383460 478363506353385 574036207624062 637818008471180 765381610165416 840052986766920 861054311436093 956727012706770 1148072415248124 1275636016942360 1435090519060155 1722108622872186 1913454025413540 2296144830496248 2870181038120310 3444217245744372 3826908050827080 4305271557180465 5740362076240620 6888434491488744 8610543114360930 11480724152481240 17221086228721860 34442172457443720
• Sum of all divisors σ(n): 117962727617952000
• Sum of proper divisors (its aliquot sum) s(n): 83520555160508280
• 34442172457443720 is an abundant number, because the sum of its proper divisors (83520555160508280) is greater than itself. Its abundance is 49078382703064560

Bases of 34442172457443720

• Binary: 1111010010111001111100100101110100111100110000110001000₂
• Hexadecimal: 0x7A5CF92E9E6188
• Base-36: 9F4QBLEMDU0

Squares and roots of 34442172457443720

• 34442172457443720 squared (34442172457443720²) is 1186263243588294778374436967438400
• 34442172457443720 cubed (34442172457443720³) is 40857483215594616989769950311849771495340566848000
• The square root of 34442172457443720 is 185586024.4130568147
• The cube root of 34442172457443720 is 325359.5152380267

Scales and comparisons

• 34,442,172,457,443,720 seconds is equal to 1,095,154,547 years, 26 weeks, 4 days, 11 hours, 42 minutes.
• To count from 1 to 34,442,172,457,443,720 would take you about three billion, two hundred eighty-five million, four hundred sixty-three thousand, six hundred forty-two 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 34442172457443720 cubic inches would be around 27113.3 feet tall.

Recreational maths with 34442172457443720

• 34442172457443720 backwards is 02734475427124443
• The number of decimal digits it has is: 17
• The sum of 34442172457443720's digits is 63
• More coming soon!