34240074984720

Names of 34240074984720

• Cardinal: 34240074984720 can be written as Thirty-four trillion, two hundred forty billion, seventy-four million, nine hundred eighty-four thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 3.424007498472 × 10¹³

Factors of 34240074984720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 41045

Divisors of 34240074984720

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 81 88 90 97 99 108 110 120 121 132 135 144 162 165 176 180 194 198 216 220 240 242 264 270 291 297 324 330 360 363 388 396 405 432 440 484 485 495 528 540 582 594 605 648 660 720 726 776 792 810 873 880 891 968 970 990 1067 1080 1089 1164 1188 1210 1296 1320 1331 1452 1455 1485 1552 1584 1620 1746 1782 1815 1936 1940 1980 2134 2160 2178 2328 2376 2420 2619 2640 2662 2904 2910 2970 3201 3240 3267 3492 3564 3630 3880 3960 3993 4268 4356 4365 4455 4656 4752 4840 5238 5324 5335 5445 5808 5820 5940 6402 6480 6534 6655 6984 7128 7260 7760 7857 7920 7986 8536 8712 8730 8910 9603 9680 9801 10476 10648 10670 10890 11640 11737 11880 11979 12804 13068 13095 13310 13968 14256 14520 15714 15972 16005 16335 17072 17424 17460 17820 19206 19602 19965 20952 21296 21340 21780 23280 23474 23760 23958 25608 26136 26190 26620 28809 29040 31428 31944 32010 32670 34920 35211 35640 35937 38412 39204 39285 39930 40927 41904 42680 43560 46948 47916 48015 49005 51216 52272 52380 53240 57618 58685 59895 62856 63888 64020 65340 69840 70422 71280 71874 76824 78408 78570 79860 81854 85360 86427 87120 93896 95832 96030 98010 104760 105633 106480 107811 115236 117370 119790 122781 125712 128040 129107 130680 140844 143748 144045 153648 156816 157140 159720 163708 172854 176055 179685 187792 191664 192060 196020 204635 209520 211266 215622 230472 234740 239580 245562 256080 258214 261360 281688 287496 288090 314280 316899 319440 327416 345708 352110 359370 368343 384120 387321 392040 409270 422532 431244 432135 450197 460944 469480 479160 491124 516428 528165 539055 563376 574992 576180 613905 628560 633798 645535 654832 691416 704220 718740 736686 768240 774642 784080 818540 845064 862488 864270 900394 938960 950697 958320 982248 1032856 1056330 1078110 1105029 1152360 1161963 1227810 1267596 1291070 1350591 1382832 1408440 1437480 1473372 1549284 1584495 1637080 1690128 1724976 1728540 1800788 1841715 1901394 1936605 1964496 2065712 2112660 2156220 2210058 2250985 2304720 2323926 2455620 2535192 2582140 2701182 2816880 2874960 2946744 3098568 3168990 3274160 3315087 3457080 3485889 3601576 3683430 3802788 3873210 3969919 4051773 4225320 4312440 4420116 4501970 4647852 4753485 4911240 4952167 5070384 5164280 5402364 5525145 5809815 5893488 6197136 6337980 6630174 6752955 6914160 6971778 7203152 7366860 7605576 7746420 7939838 8103546 8450640 8624880 8840232 9003940 9295704 9506970 9822480 9904334 10328560 10457667 10804728 11050290 11619630 11909757 12155319 12675960 13260348 13505910 13943556 14733720 14856501 15211152 15492840 15879676 16207092 16575435 17429445 17680464 18007880 18591408 19013940 19808668 19849595 20258865 20915334 21609456 22100580 23239260 23819514 24310638 24760835 25351920 26520696 27011820 27887112 29467440 29713002 30985680 31759352 32414184 33150870 34858890 35729271 36015760 36465957 38027880 39617336 39699190 40517730 41830668 43669109 44201160 44569503 46478520 47639028 48621276 49521670 52288335 53041392 54023640 54473837 55774224 59426004 59548785 60776595 63518704 64828368 66301740 69717780 71458542 72931914 74282505 76055760 79234672 79398380 81035460 83661336 87338218 88402320 89139006 92957040 95278056 97242552 99043340 104576670 107187813 108047280 108947674 118852008 119097570 121553190 131007327 132603480 133708509 139435560 142917084 145863828 148565010 158796760 162070920 163421511 167322672 174676436 178278012 178646355 182329785 190556112 194485104 198086680 209153340 214375626 217895348 218345545 222847515 237704016 238195140 243106380 262014654 265206960 267417018 272369185 278871120 285834168 291727656 297130020 317593520 321563439 324141840 326843022 349352872 356556024 357292710 364659570 393021981 396173360 401125527 418306680 428751252 435790696 436691090 445695030 476390280 480360199 486212760 490264533 524029308 534834036 535939065 544738370 571668336 583455312 594260040 643126878 653686044 655036635 668542545 698705744 713112048 714585420 729319140 786043962 802251054 817107555 836613360 857502504 871581392 873382180 891390060 952780560 960720398 972425520 980529066 1048058616 1069668072 1071878130 1089476740 1179065943 1188520080 1286253756 1307372088 1310073270 1337085090 1429170840 1441080597 1458638280 1470793599 1572087924 1604502108 1607817195 1634215110 1715005008 1746764360 1782780120 1921440796 1961058132 1965109905 2005627635 2096117232 2139336144 2143756260 2178953480 2358131886 2401800995 2451322665 2572507512 2614744176 2620146540 2674170180 2858341680 2882161194 2917276560 2941587198 3144175848 3209004216 3215634390 3268430220 3493528720 3537197829 3565560240 3842881592 3922116264 3930219810 4011255270 4287512520 4323241791 4357906960 4412380797 4716263772 4803601990 4902645330 5145015024 5240293080 5283962189 5348340360 5764322388 5883174396 5895329715 6288351696 6418008432 6431268780 6536860440 7074395658 7205402985 7353967995 7685763184 7844232528 7860439620 8022510540 8575025040 8646483582 8824761594 9432527544 9607203980 9805290660 10480586160 10567924378 10696680720 11528644776 11766348792 11790659430 12862537560 12969725373 13073720880 14148791316 14410805970 14707935990 15720879240 15851886567 16045021080 17292967164 17649523188 17685989145 18865055088 19214407960 19610581320 21135848756 21616208955 22061903985 23057289552 23532697584 23581318860 25725075120 25939450746 26419810945 28297582632 28821611940 29415871980 31441758480 31703773134 32090042160 34585934328 35299046376 35371978290 38428815920 38909176119 39221162640 42271697512 43232417910 44123807970 47162637720 47555659701 51878901492 52839621890 56595165264 57643223880 58831743960 63407546268 64848626865 69171868656 70598092752 70743956580 77818352238 79259432835 84543395024 86464835820 88247615940 94325275440 95111319402 103757802984 105679243780 115286447760 117663487920 126815092536 129697253730 141487913160 142666979103 155636704476 158518865670 172929671640 176495231880 190222638804 194545880595 207515605968 211358487560 237778298505 253630185072 259394507460 282975826320 285333958206 311273408952 317037731340 345859343280 352990463760 380445277608 389091761190 422716975120 428000937309 475556597010 518789014920 570667916412 622546817904 634075462680 713334895515 760890555216 778183522380 856001874618 951113194020 1037578029840 1141335832824 1268150925360 1426669791030 1556367044760 1712003749236 1902226388040 2140004686545 2282671665648 2853339582060 3112734089520 3424007498472 3804452776080 4280009373090 5706679164120 6848014996944 8560018746180 11413358328240 17120037492360 34240074984720
• Sum of all divisors σ(n): 132155727492096
• Sum of proper divisors (its aliquot sum) s(n): 97915652507376
• 34240074984720 is an abundant number, because the sum of its proper divisors (97915652507376) is greater than itself. Its abundance is 63675577522656

Bases of 34240074984720

• Binary: 111110010010000100011100000011010110100010000₂
• Hexadecimal: 0x1F242381AD10
• Base-36: C4XO8LD00

Squares and roots of 34240074984720

• 34240074984720 squared (34240074984720²) is 1172382734959248308233478400
• 34240074984720 cubed (34240074984720³) is 40142472755795775827360103777072450048000
• The square root of 34240074984720 is 5851501.9426400261
• The cube root of 34240074984720 is 32472.1892215823

Scales and comparisons

• 34,240,074,984,720 seconds is equal to 1,088,728 years, 24 weeks, 4 days, 4 hours, 12 minutes.
• To count from 1 to 34,240,074,984,720 would take you about two million, seven hundred twenty-one thousand, eight hundred twenty-one 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 34240074984720 cubic inches would be around 2706 feet tall.

Recreational maths with 34240074984720

• 34240074984720 backwards is 02748947004243
• 34240074984720 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34240074984720's digits is 54
• More coming soon!