34120369920

Names of 34120369920

• Cardinal: 34120369920 can be written as Thirty-four billion, one hundred twenty million, three hundred sixty-nine thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 3.412036992 × 10¹⁰

Factors of 34120369920

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 96

Divisors of 34120369920

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 29 30 32 35 37 39 40 42 48 49 52 56 58 60 64 65 70 74 78 80 84 87 91 96 98 104 105 111 112 116 120 128 130 140 145 147 148 156 160 168 169 174 182 185 192 195 196 203 208 210 222 224 232 240 245 256 259 260 273 280 290 294 296 312 320 336 338 348 364 370 377 384 390 392 406 416 420 435 444 448 455 464 480 481 490 507 518 520 546 555 560 580 588 592 609 624 637 640 672 676 696 728 735 740 754 768 777 780 784 812 832 840 845 870 888 896 910 928 960 962 980 1014 1015 1036 1040 1073 1092 1110 1120 1131 1160 1176 1183 1184 1218 1248 1274 1280 1295 1344 1352 1365 1392 1421 1443 1456 1470 1480 1508 1554 1560 1568 1624 1664 1680 1690 1740 1776 1792 1813 1820 1856 1885 1911 1920 1924 1960 2028 2030 2072 2080 2146 2184 2220 2240 2262 2320 2352 2366 2368 2405 2436 2496 2535 2548 2590 2639 2688 2704 2730 2784 2842 2886 2912 2940 2960 3016 3045 3108 3120 3136 3185 3219 3248 3328 3360 3367 3380 3480 3549 3552 3626 3640 3712 3770 3822 3840 3848 3885 3920 4056 4060 4144 4160 4263 4292 4368 4440 4480 4524 4640 4704 4732 4736 4810 4872 4901 4992 5070 5096 5180 5278 5365 5376 5408 5439 5460 5568 5655 5684 5772 5824 5880 5915 5920 6032 6090 6216 6240 6253 6272 6370 6438 6496 6720 6734 6760 6960 7098 7104 7105 7215 7252 7280 7424 7511 7540 7644 7696 7770 7840 7917 8112 8120 8281 8288 8320 8526 8584 8736 8880 8960 9048 9065 9280 9408 9464 9472 9555 9620 9744 9802 9984 10101 10140 10192 10360 10556 10730 10816 10878 10920 11136 11310 11368 11544 11648 11760 11830 11840 12064 12180 12432 12480 12506 12544 12740 12876 12992 13195 13440 13468 13520 13920 13949 14196 14208 14210 14430 14504 14560 14703 15022 15080 15288 15392 15540 15680 15834 16095 16224 16240 16562 16576 16640 16835 17052 17168 17472 17745 17760 18096 18130 18473 18560 18759 18816 18928 19110 19240 19488 19604 20202 20280 20384 20720 21112 21315 21460 21632 21756 21840 22272 22533 22620 22736 23088 23296 23520 23569 23660 23680 24128 24360 24505 24843 24864 24960 25012 25480 25752 25984 26390 26880 26936 27040 27195 27840 27898 28392 28416 28420 28860 29008 29120 29406 30044 30160 30576 30784 31080 31265 31360 31668 32190 32448 32480 33124 33152 33670 34104 34307 34336 34944 35490 35520 36192 36260 36946 37120 37518 37555 37632 37856 38220 38480 38976 39208 39585 40404 40560 40768 41405 41440 41847 42224 42630 42920 43264 43512 43680 43771 45066 45240 45472 46176 47040 47138 47320 47360 48256 48720 49010 49686 49728 49920 50024 50505 50960 51504 51968 52577 52780 53872 54080 54390 55419 55680 55796 56784 56840 57720 58016 58240 58812 60088 60320 61152 61568 62160 62530 62720 63336 64380 64896 64960 66248 66304 67340 68208 68614 68672 69745 69888 70707 70980 71040 72384 72520 73515 73892 75036 75110 75712 76440 76960 77952 78416 79170 80808 81120 81536 82810 82880 83694 84448 85260 85840 87024 87360 87542 90132 90480 90944 92352 92365 93795 94080 94276 94640 96512 97440 97643 98020 99372 99456 100048 101010 101920 102921 103008 105154 105560 107744 108160 108780 110838 111360 111592 112665 113568 113680 115440 116032 116480 117624 117845 120176 120640 122304 123136 124215 124320 125060 126672 128760 129792 129920 131313 132496 134680 136416 137228 137344 139490 141414 141960 142080 144768 145040 147030 147784 150072 150220 151424 152880 153920 155904 156832 157731 158340 161616 162240 163072 165620 165760 167388 168896 170520 171535 171680 174048 174720 175084 180264 180960 181337 181888 184704 184730 187590 188160 188552 189280 194880 195286 196040 198744 198912 200096 202020 203840 205842 206016 209235 210308 211120 215488 216320 217560 218855 221676 223184 225330 227136 227360 230880 232064 235248 235690 240149 240352 241280 244608 248430 248640 250120 253344 257520 259840 262626 262885 264992 269360 272832 274456 274688 277095 278980 282828 283920 289536 290080 292929 294060 295568 300144 300440 302848 305760 306397 307840 313664 315462 316680 323232 324480 331240 331520 334776 337792 341040 343070 343360 348096 349440 350168 353535 360528 361920 362674 363776 369408 369460 375180 377104 378560 389760 390572 392080 397488 400192 404040 407680 411684 412032 418470 420616 422240 430976 435120 437710 443352 446368 450660 454272 454720 461760 464128 470496 471380 480298 480704 482560 488215 489216 496860 497280 500240 506688 514605 515040 525252 525770 529984 538720 544011 545664 548912 554190 557960 565656 567840 580160 585858 588120 591136 600288 600880 611520 612794 615680 627328 630924 633360 646464 648960 656565 662480 669552 675584 682080 683501 686140 686720 696192 700336 707070 720447 721056 723840 725348 738920 750360 754208 757120 779520 781144 784160 788655 794976 800384 808080 815360 823368 824064 836940 841232 844480 861952 870240 875420 886704 892736 901320 906685 908544 909440 919191 923520 940992 942760 960596 961408 976430 993720 994560 1000480 1013376 1029210 1030080 1050504 1051540 1059968 1077440 1088022 1091328 1097824 1108380 1115920 1131312 1135680 1160320 1171716 1176240 1182272 1200576 1200745 1201760 1223040 1225588 1254656 1261848 1266720 1269359 1292928 1313130 1324960 1339104 1364160 1367002 1372280 1373440 1392384 1400672 1414140 1440894 1442112 1447680 1450696 1464645 1477840 1500720 1508416 1514240 1531985 1562288 1568320 1577310 1589952 1600768 1616160 1646736 1673880 1682464 1688960 1740480 1750840 1773408 1785472 1802640 1813370 1818880 1838382 1847040 1881984 1885520 1921192 1922816 1952860 1987440 2000960 2026752 2050503 2058420 2060160 2101008 2103080 2119936 2154880 2176044 2195648 2216760 2231840 2262624 2271360 2320640 2343432 2352480 2364544 2401152 2401490 2403520 2446080 2451176 2523696 2533440 2538718 2585856 2626260 2649920 2678208 2720055 2728320 2734004 2744560 2801344 2828280 2881788 2884224 2901392 2929290 2955680 3001440 3016832 3063970 3124576 3136640 3154620 3179904 3232320 3293472 3347760 3364928 3377920 3417505 3480960 3501680 3546816 3570944 3602235 3605280 3626740 3676764 3763968 3771040 3808077 3842384 3905720 3974880 4001920 4101006 4116840 4120320 4202016 4206160 4309760 4352088 4391296 4433520 4463680 4525248 4542720 4595955 4686864 4704960 4729088 4802304 4802980 4807040 4902352 5047392 5066880 5077436 5252520 5299840 5356416 5440110 5456640 5468008 5489120 5602688 5656560 5763576 5768448 5802784 5858580 5911360 6002880 6033664 6127940 6249152 6273280 6309240 6346795 6359808 6464640 6586944 6695520 6729856 6835010 6961920 7003360 7093632 7204470 7210560 7253480 7353528 7542080 7616154 7684768 7811440 7949760 8003840 8202012 8233680 8404032 8412320 8704176 8782592 8867040 8885513 8927360 9050496 9191910 9373728 9409920 9605960 9614080 9804704 10094784 10133760 10154872 10252515 10505040 10599680 10712832 10880220 10936016 10978240 11205376 11313120 11527152 11605568 11717160 11822720 12005760 12255880 12498304 12618480 12693590 12929280 13173888 13391040 13459712 13670020 14006720 14187264 14408940 14421120 14506960 14707056 15084160 15232308 15369536 15622880 15899520 16404024 16467360 16808064 16824640 17408352 17734080 17771026 17854720 18100992 18383820 18747456 18819840 19040385 19211920 19609408 20189568 20309744 20505030 21010080 21760440 21872032 21956480 22626240 23054304 23211136 23434320 23645440 24011520 24511760 24996608 25236960 25387180 26347776 26656539 26782080 27340040 28013440 28817880 28842240 29013920 29414112 30168320 30464616 30739072 31245760 31799040 32808048 32934720 33616128 33649280 34816704 35468160 35542052 36767640 37494912 38080770 38423840 39218816 40379136 40619488 41010060 42020160 43520880 43744064 43912960 44427565 45252480 46108608 46422272 46868640 49023520 50473920 50774360 53313078 53564160 54680080 56026880 57635760 58027840 58828224 60929232 61478144 62491520 65616096 65869440 67298560 69633408 70936320 71084104 73535280 74989824 76161540 76847680 78437632 81238976 82020120 84040320 87041760 87488128 88855130 90504960 92217216 93737280 98047040 100947840 101548720 106626156 109360160 115271520 116055680 117656448 121858464 124983040 131232192 131738880 133282695 139266816 142168208 147070560 152323080 153695360 162477952 164040240 168080640 174083520 174976256 177710260 184434432 187474560 196094080 201895680 203097440 213252312 218720320 230543040 232111360 235312896 243716928 262464384 266565390 284336416 294141120 304646160 307390720 324955904 328080480 348167040 355420520 374949120 392188160 406194880 426504624 437440640 461086080 487433856 524928768 533130780 568672832 588282240 609292320 656160960 696334080 710841040 812389760 853009248 874881280 922172160 974867712 1066261560 1137345664 1176564480 1218584640 1312321920 1421682080 1624779520 1706018496 2132523120 2274691328 2437169280 2624643840 2843364160 3412036992 4265046240 4874338560 5686728320 6824073984 8530092480 11373456640 17060184960 34120369920
• Sum of all divisors σ(n): 145835393760
• Sum of proper divisors (its aliquot sum) s(n): 111715023840
• 34120369920 is an abundant number, because the sum of its proper divisors (111715023840) is greater than itself. Its abundance is 77594653920

Bases of 34120369920

• Binary: 11111110001101110111000011100000000₂
• Hexadecimal: 0x7F1BB8700
• Base-36: FOADXXC

Squares and roots of 34120369920

• 34120369920 squared (34120369920²) is 1164199643477640806400
• 34120369920 cubed (34120369920³) is 39722922496189219563255103488000
• The square root of 34120369920 is 184716.9995425435
• The cube root of 34120369920 is 3243.4303555447

Scales and comparisons

• 34,120,369,920 seconds is equal to 1,084 years, 47 weeks, 6 days, 16 hours, 32 minutes.
• To count from 1 to 34,120,369,920 would take you about two thousand, one hundred sixty-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 34120369920 cubic inches would be around 270.3 feet tall.

Recreational maths with 34120369920

• 34120369920 backwards is 02996302143
• 34120369920 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34120369920's digits is 39
• More coming soon!