107434192320

Names of 107434192320

• Cardinal: 107434192320 can be written as One hundred seven billion, four hundred thirty-four million, one hundred ninety-two thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.0743419232 × 10¹¹

Factors of 107434192320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 510

Divisors of 107434192320

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 23 24 26 27 28 30 32 35 36 39 40 42 45 46 48 52 54 56 60 63 64 65 69 70 72 78 80 84 90 91 92 96 104 105 108 112 115 117 120 126 130 135 138 140 144 156 160 161 168 169 180 182 184 189 192 195 207 208 210 216 224 230 234 240 252 260 270 273 276 280 288 299 312 315 320 322 336 338 345 351 360 364 368 378 390 414 416 420 432 448 455 457 460 468 480 483 504 507 520 540 546 552 560 576 585 598 621 624 630 644 672 676 690 702 720 728 736 756 780 805 819 828 832 840 845 864 897 910 914 920 936 945 960 966 1008 1014 1035 1040 1080 1092 1104 1120 1170 1183 1196 1242 1248 1260 1288 1344 1352 1365 1371 1380 1404 1440 1449 1456 1472 1495 1512 1521 1560 1610 1638 1656 1680 1690 1728 1755 1794 1820 1828 1840 1872 1890 1932 2016 2028 2070 2080 2093 2160 2184 2208 2240 2285 2340 2366 2392 2415 2457 2484 2496 2520 2535 2576 2691 2704 2730 2742 2760 2808 2880 2898 2912 2990 3024 3042 3105 3120 3199 3220 3276 3312 3360 3380 3510 3549 3588 3640 3656 3680 3744 3780 3864 3887 4032 4056 4095 4113 4140 4160 4186 4320 4347 4368 4416 4485 4563 4570 4680 4732 4784 4830 4914 4968 5040 5070 5152 5382 5408 5460 5484 5520 5616 5796 5824 5915 5941 5980 6048 6084 6210 6240 6279 6398 6440 6552 6624 6720 6760 6855 7020 7098 7176 7245 7280 7312 7360 7488 7560 7605 7728 7774 8073 8112 8190 8226 8280 8372 8640 8694 8736 8970 9126 9140 9360 9464 9568 9597 9660 9828 9936 10080 10140 10304 10465 10511 10647 10764 10816 10920 10968 11040 11232 11592 11661 11830 11882 11960 12096 12168 12285 12339 12420 12480 12558 12796 12880 13104 13248 13455 13520 13710 14040 14196 14352 14490 14560 14624 15120 15210 15456 15548 15995 16146 16224 16380 16452 16560 16744 17388 17472 17745 17823 17940 18252 18280 18720 18837 18928 19136 19194 19320 19435 19656 19872 20160 20280 20565 20930 21022 21294 21528 21735 21840 21936 22080 22464 22815 23184 23322 23660 23764 23920 24336 24570 24678 24840 25116 25592 25760 26208 26910 27040 27209 27420 28080 28392 28704 28791 28980 29120 29248 29705 30240 30420 30912 31096 31395 31533 31941 31990 32292 32448 32760 32904 33120 33488 34776 34983 35490 35646 35880 36504 36560 37440 37674 37856 38388 38640 38870 39312 39744 40365 40560 41130 41587 41860 42044 42588 43056 43470 43680 43872 45630 46368 46644 47320 47528 47840 47985 48672 49140 49356 49680 50232 51184 51520 52416 52555 53235 53469 53820 54080 54418 54840 56160 56511 56784 57408 57582 57960 58305 59410 60480 60840 61695 62192 62790 63066 63882 63980 64584 65520 65808 66240 66976 69552 69966 70980 71292 71760 73008 73120 73577 75348 75712 76776 77233 77280 77740 78624 80730 81120 81627 82260 83174 83720 84088 85176 86112 86373 86940 87360 87744 89115 91260 92736 93288 94185 94599 94640 95056 95680 95970 97344 98280 98712 99360 100464 102368 104949 105110 106470 106938 107640 108836 109680 112320 113022 113568 115164 115920 116610 118820 121680 123390 124384 124761 125580 126132 127764 127960 129168 131040 131616 133952 136045 136643 139104 139932 141960 142584 143520 143955 146016 146240 147154 150696 153552 154466 154560 155480 157248 157665 159705 160407 161460 162240 163254 164520 166348 167440 168176 170352 172224 172746 173880 174915 178230 182520 186576 188370 189198 189280 190112 191940 196560 197424 198720 200928 204736 207935 209898 210220 212940 213876 215280 217672 219360 220731 226044 227136 230328 231699 231840 233220 237640 243360 244881 246780 248768 249522 251160 252264 255528 255920 258336 262080 263232 267345 272090 273286 278208 279864 282555 283797 283920 285168 287040 287910 292032 294308 301392 307104 308932 310960 315330 319410 320814 322920 326508 329040 332696 334880 336352 340704 345492 347760 349830 356460 365040 367885 373152 374283 376740 378396 378560 380224 383880 386165 393120 394848 401856 408135 409929 415870 419796 420440 425880 427752 430560 431865 435344 438720 441462 452088 460656 463398 463680 466440 472995 475280 486720 489762 493560 499044 502320 504528 511056 511840 516672 524745 534690 540631 544180 546572 559728 565110 567594 567840 570336 575820 588616 602784 614208 617864 621920 623805 630660 638820 641628 645840 653016 658080 662193 665392 669760 672704 681408 683215 690984 695097 695520 699660 712920 730080 734643 735770 746304 748566 753480 756792 767760 772330 786240 789696 802035 816270 819858 831740 839592 840880 851760 855504 861120 863730 870688 882924 904176 921312 926796 932880 945990 950560 956501 979524 987120 998088 1004640 1009056 1022112 1023680 1049490 1069380 1081262 1088360 1093144 1103655 1119456 1122849 1130220 1135188 1135680 1140672 1151640 1158495 1177232 1205568 1224405 1229787 1235728 1243840 1247610 1261320 1277640 1283256 1291680 1306032 1316160 1324386 1330784 1366430 1381968 1390194 1391040 1399320 1418985 1425840 1460160 1469286 1471540 1497132 1506960 1513584 1535520 1544660 1604070 1621893 1632540 1639716 1663480 1679184 1681760 1703520 1711008 1727460 1741376 1765848 1776359 1808352 1842624 1853592 1865760 1871415 1891980 1901120 1913002 1959048 1974240 1986579 1996176 2009280 2018112 2044224 2049645 2085291 2098980 2138760 2162524 2176720 2186288 2207310 2238912 2245698 2260440 2270376 2303280 2316990 2354464 2448810 2459574 2471456 2495220 2522640 2555280 2566512 2583360 2612064 2648772 2661568 2703155 2732860 2763936 2780388 2798640 2837970 2851680 2869503 2938572 2943080 2994264 3013920 3027168 3071040 3089320 3208140 3243786 3265080 3279432 3310965 3326960 3358368 3363520 3407040 3422016 3454920 3475485 3531696 3552718 3616704 3673215 3689361 3707184 3731520 3742830 3783960 3826004 3918096 3948480 3973158 3992352 4099290 4170582 4197960 4277520 4325048 4353440 4372576 4414620 4491396 4520880 4540752 4606560 4633980 4708928 4782505 4865679 4897620 4919148 4942912 4990440 5045280 5110560 5133024 5224128 5297544 5329077 5406310 5465720 5527872 5560776 5597280 5614245 5675940 5703360 5739006 5877144 5886160 5988528 6027840 6054336 6148935 6178640 6416280 6487572 6530160 6558864 6621930 6653920 6716736 6909840 6950970 7063392 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26645385 27639360 27803880 28421744 28695030 29194074 29385720 29514888 29942640 30271680 30608032 31785264 31974462 32437860 32794320 33364656 33583680 34434036 34600384 35316960 35527180 35931168 36893610 37071840 37303539 38260040 38925432 39180960 39353184 39731580 39923520 41705820 42380352 42632616 43042545 43250480 43725760 44486208 44913960 45407520 45912048 47017152 47961693 48656790 49191480 49738052 51330240 51651054 51900576 52975440 53290770 55607760 56843488 57390060 58388148 58771440 59029776 59885280 61216064 62172565 63570528 63948924 64875720 65588640 66729312 68868072 70633920 71054360 71862336 72985185 73787220 74143680 74607078 76520080 77850864 78361920 78706368 79463160 79936155 83411640 85265232 86085090 86500960 89827920 90815040 91824096 95923386 97313580 98382960 99476104 103302108 103801152 105950880 106581540 111215520 111910617 113686976 114780120 116776296 117542880 118059552 119770560 124345130 127141056 127897848 129127635 129751440 131177280 133458624 137736144 142108720 145970370 147574440 149214156 153040160 155701728 158926320 159872310 166823280 170530464 172170180 173001920 179655840 183648192 186517695 191846772 194627160 196765920 198952208 206604216 211901760 213163080 222431040 223821234 229560240 233552592 235085760 236119104 239808465 248690260 255795696 258255270 259502880 275472288 284217440 291940740 295148880 298428312 306080320 311403456 317852640 319744620 333646560 335731851 341060928 344340360 359311680 373035390 383693544 389254320 393531840 397904416 413208432 426326160 447642468 459120480 467105184 479616930 497380520 511591392 516510540 519005760 550944576 559553085 568434880 583881480 590297760 596856624 635705280 639489240 667293120 671463702 688680720 746070780 767387088 778508640 795808832 826416864 852652320 895284936 918240960 934210368 959233860 994761040 1023182784 1033021080 1119106170 1167762960 1180595520 1193713248 1278978480 1342927404 1377361440 1492141560 1534774176 1557017280 1652833728 1678659255 1705304640 1790569872 1918467720 1989522080 2066042160 2238212340 2335525920 2387426496 2557956960 2685854808 2754722880 2984283120 3069548352 3357318510 3581139744 3836935440 3979044160 4132084320 4476424680 4671051840 5115913920 5371709616 5968566240 6714637020 7162279488 7673870880 8264168640 8952849360 10743419232 11937132480 13429274040 15347741760 17905698720 21486838464 26858548080 35811397440 53717096160 107434192320
• Sum of all divisors σ(n): 490492938240
• Sum of proper divisors (its aliquot sum) s(n): 383058745920
• 107434192320 is an abundant number, because the sum of its proper divisors (383058745920) is greater than itself. Its abundance is 275624553600

Bases of 107434192320

• Binary: 1100100000011100100111010110111000000₂
• Hexadecimal: 0x190393ADC0
• Base-36: 1DCRJLC0

Squares and roots of 107434192320

• 107434192320 squared (107434192320²) is 11542105679450746982400
• 107434192320 cubed (107434192320³) is 1240016801343875823274821255168000
• The square root of 107434192320 is 327771.5550806689
• The cube root of 107434192320 is 4753.8722598971

Scales and comparisons

• 107,434,192,320 seconds is equal to 3,416 years, 3 weeks, 6 days, 7 hours, 12 minutes.
• To count from 1 to 107,434,192,320 would take you about six thousand, eight hundred thirty-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 107434192320 cubic inches would be around 396.2 feet tall.

Recreational maths with 107434192320

• 107434192320 backwards is 023291434701
• 107434192320 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 107434192320's digits is 36
• More coming soon!