34189348320

Names of 34189348320

• Cardinal: 34189348320 can be written as Thirty-four billion, one hundred eighty-nine million, three hundred forty-eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 3.418934832 × 10¹⁰

Factors of 34189348320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 863

Divisors of 34189348320

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 59 60 61 72 80 81 90 96 108 118 120 122 135 144 160 162 177 180 183 216 236 240 244 270 288 295 305 324 354 360 366 405 432 472 480 488 531 540 549 590 610 648 708 720 732 733 810 864 885 915 944 976 1062 1080 1098 1180 1220 1296 1416 1440 1464 1466 1593 1620 1647 1770 1830 1888 1952 2124 2160 2196 2199 2360 2440 2592 2655 2745 2832 2928 2932 3186 3240 3294 3540 3599 3660 3665 4248 4320 4392 4398 4720 4779 4880 4941 5310 5490 5664 5856 5864 6372 6480 6588 6597 7080 7198 7320 7330 7965 8235 8496 8784 8796 9440 9558 9760 9882 10620 10797 10980 10995 11728 12744 12960 13176 13194 14160 14396 14640 14660 15930 16470 16992 17568 17592 17995 19116 19764 19791 21240 21594 21960 21990 23456 23895 24705 25488 26352 26388 28320 28792 29280 29320 31860 32391 32940 32985 35184 35990 38232 39528 39582 42480 43188 43247 43920 43980 44713 47790 49410 50976 52704 52776 53985 57584 58640 59373 63720 64782 65880 65970 70368 71980 76464 79056 79164 84960 86376 86494 87840 87960 89426 95580 97173 98820 98955 105552 107970 115168 117280 118746 127440 129564 129741 131760 131940 134139 143960 152928 158112 158328 161955 172752 172988 175920 178852 191160 194346 197640 197910 211104 215940 216235 223565 237492 254880 259128 259482 263520 263880 268278 287920 291519 296865 316656 323910 345504 345976 351840 357704 382320 388692 389223 395280 395820 402417 431880 432470 447130 474984 485865 518256 518964 527760 536556 575840 583038 593730 633312 647820 648705 670695 691952 715408 764640 777384 778446 790560 791640 804834 863760 864940 894260 949968 971730 1036512 1037928 1055520 1073112 1166076 1167669 1187460 1207251 1295640 1297410 1341390 1383904 1430816 1457595 1554768 1556892 1583280 1609668 1727520 1729880 1788520 1899936 1943460 1946115 2012085 2075856 2146224 2332152 2335338 2374920 2414502 2591280 2594820 2638067 2682780 2915190 3109536 3113784 3166560 3219336 3459760 3503007 3577040 3621753 3886920 3892230 4024170 4151712 4292448 4664304 4670676 4749840 4829004 5182560 5189640 5276134 5365560 5830380 5838345 6036255 6227568 6438672 6919520 7006014 7154080 7243506 7773840 7784460 7914201 8048340 9328608 9341352 9499680 9658008 10379280 10552268 10731120 11660760 11676690 12072510 12455136 12877344 13190335 14012028 14487012 15547680 15568920 15828402 16096680 17515035 18108765 18682704 19316016 20758560 21104536 21462240 23321520 23353380 23742603 24145020 26380670 28024056 28974024 31137840 31656804 32193360 35030070 36217530 37365408 38632032 39571005 42209072 46643040 46706760 47485206 48290040 52761340 56048112 57948048 62275680 63313608 64386720 70060140 71227809 72435060 79142010 84418144 93413520 94970412 96580080 105522680 112096224 115896096 118713015 126627216 140120280 142455618 144870120 158284020 186827040 189940824 193160160 211045360 213683427 237426030 253254432 280240560 284911236 289740240 316568040 356139045 379881648 422090720 427366854 474852060 560481120 569822472 579480480 633136080 712278090 759763296 854733708 949704120 1068417135 1139644944 1266272160 1424556180 1709467416 1899408240 2136834270 2279289888 2849112360 3418934832 3798816480 4273668540 5698224720 6837869664 8547337080 11396449440 17094674160 34189348320
• Sum of all divisors σ(n): 124886694240
• Sum of proper divisors (its aliquot sum) s(n): 90697345920
• 34189348320 is an abundant number, because the sum of its proper divisors (90697345920) is greater than itself. Its abundance is 56507997600

Bases of 34189348320

• Binary: 11111110101110110000000110111100000₂
• Hexadecimal: 0x7F5D80DE0
• Base-36: FPFGE00

Squares and roots of 34189348320

• 34189348320 squared (34189348320²) is 1168911538546286822400
• 34189348320 cubed (34189348320³) is 39964323746626106613659578368000
• The square root of 34189348320 is 184903.6190019007
• The cube root of 34189348320 is 3245.6145448593

Scales and comparisons

• 34,189,348,320 seconds is equal to 1,087 years, 6 weeks, 1 hour, 12 minutes.
• To count from 1 to 34,189,348,320 would take you about two thousand, one hundred seventy-four 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 34189348320 cubic inches would be around 270.5 feet tall.

Recreational maths with 34189348320

• 34189348320 backwards is 02384398143
• 34189348320 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 34189348320's digits is 45
• More coming soon!