34048711288640

Names of 34048711288640

• Cardinal: 34048711288640 can be written as Thirty-four trillion, forty-eight billion, seven hundred eleven million, two hundred eighty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 3.404871128864 × 10¹³

Factors of 34048711288640

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2081

Divisors of 34048711288640

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 23 31 32 34 40 46 53 62 64 68 80 85 89 92 106 115 124 136 155 160 170 178 184 212 230 248 265 272 310 320 340 356 368 391 424 445 460 496 527 530 544 620 680 712 713 736 782 848 890 901 920 992 1054 1060 1088 1219 1240 1360 1424 1426 1472 1513 1564 1643 1696 1780 1802 1840 1861 1955 1984 2047 2108 2120 2438 2480 2635 2720 2759 2848 2852 3026 3128 3286 3392 3560 3565 3604 3680 3722 3910 4094 4216 4240 4505 4717 4876 4960 5270 5440 5518 5696 5704 6052 6095 6256 6572 7120 7130 7208 7360 7444 7565 7820 8188 8215 8432 8480 9010 9305 9434 9752 9920 10235 10540 11036 11408 12104 12121 12190 12512 13144 13795 14240 14260 14416 14888 15130 15640 16376 16430 16864 16960 18020 18610 18868 19504 20470 20723 21080 22072 22816 23585 24208 24242 24380 25024 26288 27590 27931 28480 28520 28832 29776 30260 31280 31637 32752 32860 33728 34799 36040 37220 37736 37789 39008 40940 41446 42160 42803 44144 45632 46903 47170 48416 48484 48760 52576 55180 55862 57040 57664 57691 59552 60520 60605 62560 63274 63457 65504 65720 69598 72080 74440 75472 75578 78016 80189 81880 82892 84320 85606 88288 93806 94340 96832 96968 97520 98633 103615 105152 108491 110360 111724 114080 115382 119104 121040 121210 125120 126548 126914 131008 131440 139196 139655 144160 146227 148880 150944 151156 158185 160378 163760 165629 165784 168640 171212 173995 176576 187612 188680 188945 193936 195040 197266 207230 214015 216982 220720 223448 228160 230764 234515 242080 242420 253096 253828 262880 278392 279310 288320 288455 292454 297760 301888 302312 316370 317285 320756 327520 331258 331568 342424 347990 375224 377360 377890 387872 390080 394532 400945 414460 428030 433964 441440 446896 461528 469030 484160 484840 493165 506192 507656 525760 542455 556784 558620 576910 584908 595520 604624 632740 634570 641512 642413 655040 662516 663136 684848 695980 727651 731135 750448 754720 755780 775744 789064 801890 828145 828920 856060 867928 882880 893792 923056 938060 969680 980747 986330 1012384 1015312 1078769 1084910 1113568 1117240 1153820 1169816 1209248 1265480 1269140 1283024 1284826 1325032 1326272 1326893 1369696 1391960 1455302 1462270 1500896 1509440 1511560 1578128 1603780 1656290 1657840 1676761 1712120 1735856 1787584 1844347 1846112 1876120 1939360 1961494 1972660 2024768 2030624 2157538 2169820 2227136 2234480 2268559 2307640 2339632 2418496 2485859 2530960 2538280 2566048 2569652 2650064 2653786 2739392 2783920 2815693 2910604 2924540 3001792 3023120 3057623 3156256 3207560 3212065 3312580 3315680 3353522 3363221 3424240 3471712 3638255 3688694 3692224 3752240 3809467 3878720 3922988 3945320 4061248 4315076 4339640 4468960 4537118 4615280 4679264 4903735 4971718 5061920 5076560 5132096 5134499 5139304 5300128 5307572 5393845 5567840 5631386 5821208 5849080 6046240 6115246 6312512 6415120 6424130 6625160 6631360 6634465 6707044 6726442 6848480 6943424 7276510 7377388 7504480 7618934 7845976 7890640 8383805 8630152 8679280 8778337 8937920 9074236 9221735 9230560 9358528 9807470 9943436 10123840 10153120 10268998 10278608 10600256 10615144 10787690 11135680 11262772 11342795 11642416 11698160 12092480 12230492 12429295 12830240 12848260 13250320 13268930 13414088 13452884 13696960 14078465 14553020 14754776 15008960 15237868 15288115 15691952 15781280 16767610 16816105 17260304 17358560 17556674 18148472 18443470 18461120 19047335 19614940 19886872 20306240 20537996 20557216 21230288 21575380 22525544 22557181 22685590 23284832 23396320 24460984 24858590 25660480 25672495 25696520 26500640 26537860 26828176 26905768 28156930 29106040 29509552 30475736 30576230 31383904 31562560 33535220 33632210 34520608 34717120 35113348 36296944 36886940 38094670 38565503 39229880 39773744 41075992 41114432 42460576 43150760 43891685 45051088 45114362 45371180 46569664 46792640 48921968 49717180 51344990 51393040 51979591 53001280 53075720 53656352 53811536 56313860 57174757 58212080 59019104 60951472 61152460 62767808 64760939 67070440 67264420 69041216 70226696 70325329 72593888 73773880 76189340 77131006 78459760 79547488 82151984 84921152 86301520 87286483 87783370 90102176 90228724 90742360 97843936 99434360 102689980 102786080 103959182 106151440 107312704 107623072 112627720 112785905 114349514 116424160 118038208 118093477 121902944 122304920 129521878 134140880 134528840 140453392 140650658 145187776 147547760 149231729 152378680 154262012 156919520 159094976 164303968 172603040 174572966 175566740 180204352 180457448 181484720 192827515 195687872 198868720 201901751 205379960 205572160 207918364 212302880 215246144 225255440 225571810 228699028 232848320 236186954 243805888 244609840 259043756 259897955 268281760 269057680 272128447 280906784 281301316 285873785 295095520 298463458 304757360 308524024 313839040 323804695 328607936 345206080 349145932 351133480 351626645 360914896 362969440 385655030 397737440 403803502 410759920 415836728 424605760 436432415 450510880 451143620 457398056 472373908 489219680 518087512 519795910 536563520 538115360 544256894 561813568 562602632 571747570 590191040 590467385 596926916 609514720 617048048 647609390 698291864 702266960 703253290 721829792 725938880 746158645 771310060 795474880 807607004 821519840 831673456 872864830 901021760 902287240 914796112 944747816 978439360 1009508755 1036175024 1039591820 1076230720 1088513788 1125205264 1143495140 1180934770 1193853832 1195530593 1219029440 1234096096 1295218780 1360642235 1396583728 1404533920 1406506580 1443659584 1492317290 1542620120 1615214008 1643039680 1663346912 1745729660 1804574480 1829592224 1889495632 2007589109 2019017510 2072350048 2079183640 2177027576 2250410528 2286990280 2361869540 2387707664 2391061186 2468192192 2590437560 2721284470 2793167456 2809067840 2813013160 2984634580 3085240240 3230428016 3326693824 3432329767 3491459320 3609148960 3659184448 3778991264 4015178218 4038035020 4144700096 4158367280 4354055152 4500821056 4573980560 4626183599 4723739080 4775415328 4782122372 5180875120 5442568940 5586334912 5626026320 5969269160 5977652965 6170480480 6258954281 6460856032 6864659534 6982918640 7218297920 7557982528 8030356436 8076070040 8316734560 8708110304 9147961120 9252367198 9447478160 9550830656 9564244744 10037945545 10361750240 10885137880 11252052640 11938538320 11955305930 12340960960 12517908562 12921712064 13729319068 13965837280 16060712872 16152140080 16633469120 17161648835 17416220608 18295922240 18504734396 18894956320 19128489488 20075891090 20723500480 21770275760 22504105280 23130917995 23877076640 23910611860 25035817124 27458638136 27931674560 31294771405 32121425744 32304280160 34323297670 37009468792 37789912640 38256978976 40151782180 43540551520 46261835990 47754153280 47821223720 50071634248 54917276272 62589542810 64242851488 64608560320 68646595340 74018937584 76513957952 80303564360 87081103040 92523671980 95642447440 100143268496 106402222777 109834552544 125179085620 128485702976 137293190680 148037875168 160607128720 185047343960 191284894880 200286536992 212804445554 219669105088 250358171240 274586381360 296075750336 321214257440 370094687920 382569789760 400573073984 425608891108 500716342480 532011113885 549172762720 642428514880 740189375840 851217782216 1001432684960 1064022227770 1098345525440 1480378751680 1702435564432 2002865369920 2128044455540 3404871128864 4256088911080 6809742257728 8512177822160 17024355644320 34048711288640
• Sum of all divisors σ(n): 95324523356160
• Sum of proper divisors (its aliquot sum) s(n): 61275812067520
• 34048711288640 is an abundant number, because the sum of its proper divisors (61275812067520) is greater than itself. Its abundance is 27227100778880

Bases of 34048711288640

• Binary: 111101111011110010101010101110110011101000000₂
• Hexadecimal: 0x1EF795576740
• Base-36: C2HRFL83K

Squares and roots of 34048711288640

• 34048711288640 squared (34048711288640²) is 1159314740417160969393049600
• 34048711288640 cubed (34048711288640³) is 39473172889128539961353133444675436544000
• The square root of 34048711288640 is 5835127.3583907319
• The cube root of 34048711288640 is 32411.5817739049

Scales and comparisons

• 34,048,711,288,640 seconds is equal to 1,082,643 years, 36 weeks, 2 days, 13 hours, 57 minutes, 20 seconds.
• To count from 1 to 34,048,711,288,640 would take you about two million, seven hundred six thousand, six hundred nine 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 34048711288640 cubic inches would be around 2701 feet tall.

Recreational maths with 34048711288640

• 34048711288640 backwards is 04688211784043
• The number of decimal digits it has is: 14
• The sum of 34048711288640's digits is 56
• More coming soon!