34128730320
34,128,730,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34128730320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
34128730320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 34128730320:
24 × 3 × 5 × 23 × 89 × 127 × 547
(2 × 2 × 2 × 2 × 3 × 5 × 23 × 89 × 127 × 547)See below for interesting mathematical facts about the number 34128730320 from the Numbermatics database.
Names of 34128730320
- Cardinal: 34128730320 can be written as Thirty-four billion, one hundred twenty-eight million, seven hundred thirty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 3.412873032 × 1010
Factors of 34128730320
Divisors of 34128730320
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 89 92 115 120 127 138 178 184 230 240 254 267 276 345 356 368 381 445 460 508 534 547 552 635 690 712 762 890 920 1016 1068 1094 1104 1270 1335 1380 1424 1524 1641 1780 1840 1905 2032 2047 2136 2188 2540 2670 2735 2760 2921 3048 3282 3560 3810 4094 4272 4376 5080 5340 5470 5520 5842 6096 6141 6564 7120 7620 8188 8205 8752 8763 10160 10235 10680 10940 11303 11684 12282 12581 13128 14605 15240 16376 16410 17526 20470 21360 21880 22606 23368 24564 25162 26256 29210 30480 30705 32752 32820 33909 35052 37743 40940 43760 43815 45212 46736 48683 49128 50324 56515 58420 61410 62905 65640 67818 69469 70104 75486 81880 87630 90424 97366 98256 100648 113030 116840 122820 125810 131280 135636 138938 140208 146049 150972 163760 169545 175260 180848 188715 194732 201296 208407 226060 233680 243415 245640 251620 259969 271272 277876 292098 301944 339090 347345 350520 377430 389464 416814 452120 486830 491280 503240 519938 542544 555752 584196 603888 678180 694690 701040 730245 754860 778928 779907 833628 904240 973660 1006480 1039876 1042035 1111504 1119709 1168392 1299845 1356360 1389380 1460490 1509720 1559814 1597787 1667256 1947320 2079752 2084070 2239418 2336784 2599690 2712720 2778760 2920980 3019440 3119628 3195574 3334512 3359127 3894640 3899535 4159504 4168140 4478836 4793361 5199380 5557520 5598545 5841960 6182741 6239256 6391148 6718254 7799070 7988935 8336280 8957672 9586722 10398760 11197090 11683920 12365482 12478512 12782296 13436508 15598140 15977870 16672560 16795635 17915344 18548223 19173444 20797520 22394180 23966805 24730964 25564592 26873016 30913705 31196280 31955740 33591270 37096446 38346888 44788360 47933610 49461928 53746032 61827410 62392560 63911480 67182540 74192892 76693776 89576720 92741115 95867220 98923856 123654820 127822960 134365080 142203043 148385784 185482230 191734440 247309640 268730160 284406086 296771568 370964460 383468880 426609129 494619280 568812172 711015215 741928920 853218258 1137624344 1422030430 1483857840 1706436516 2133045645 2275248688 2844060860 3412873032 4266091290 5688121720 6825746064 8532182580 11376243440 17064365160 34128730320
- Sum of all divisors σ(n): 112724213760
- Sum of proper divisors (its aliquot sum) s(n): 78595483440
- 34128730320 is an abundant number, because the sum of its proper divisors (78595483440) is greater than itself. Its abundance is 44466753120
Bases of 34128730320
- Binary: 111111100100011101100011000110100002
- Hexadecimal: 0x7F23B18D0
- Base-36: FOFD4UO
Squares and roots of 34128730320
- 34128730320 squared (341287303202) is 1164770233255287302400
- 34128730320 cubed (341287303203) is 39752129175533196057729888768000
-
The
square root of 34128730320 is 184739.6284504221 -
The
cube root of 34128730320 is 3243.6952428711
Scales and comparisons
How big is 34128730320?- 34,128,730,320 seconds is equal to 1,085 years, 9 weeks, 5 days, 10 hours, 52 minutes.
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To count from 1 to 34,128,730,320 would take you about two thousand, one hundred seventy 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 34128730320 cubic inches would be around 270.3 feet tall.
Recreational maths with 34128730320
- 34128730320 backwards is 02303782143
- The number of decimal digits it has is: 11
- The sum of 34128730320's digits is 33
- More coming soon!
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