34386149840
34,386,149,840 is an even composite number composed of seven prime numbers multiplied together.
34386149840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 34386149840:
24 × 5 × 72 × 19 × 31 × 53 × 281
(2 × 2 × 2 × 2 × 5 × 7 × 7 × 19 × 31 × 53 × 281)See below for interesting mathematical facts about the number 34386149840 from the Numbermatics database.
Names of 34386149840
- Cardinal: 34386149840 can be written as Thirty-four billion, three hundred eighty-six million, one hundred forty-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 3.438614984 × 1010
Factors of 34386149840
Divisors of 34386149840
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 49 53 56 62 70 76 80 95 98 106 112 124 133 140 152 155 190 196 212 217 245 248 265 266 280 281 304 310 371 380 392 424 434 490 496 530 532 560 562 589 620 665 742 760 784 848 868 931 980 1007 1060 1064 1085 1124 1178 1240 1330 1405 1484 1519 1520 1643 1736 1855 1862 1960 1967 2014 2120 2128 2170 2248 2356 2480 2597 2660 2810 2945 2968 3038 3286 3472 3710 3724 3920 3934 4028 4123 4240 4340 4496 4655 4712 5035 5194 5320 5339 5620 5890 5936 6076 6572 7049 7420 7448 7595 7868 8056 8215 8246 8680 8711 9310 9424 9835 10070 10388 10640 10678 11240 11501 11780 12152 12985 13144 13769 14098 14840 14893 14896 15190 15736 16112 16430 16492 17360 17422 18620 19670 20140 20615 20776 21356 22480 23002 23560 24304 25970 26288 26695 27538 28196 28861 29680 29786 30380 31217 31472 32860 32984 34844 35245 37240 37373 39340 40280 41230 41552 42712 43555 46004 47120 49343 51940 53390 55076 56392 57505 57722 59572 60760 60977 62434 65720 65968 68845 69688 70490 74465 74480 74746 78680 80507 80560 82460 85424 87110 92008 98686 103880 104251 106780 110152 112784 115010 115444 119144 121520 121954 124868 131440 137690 139376 140980 144305 148930 149492 156085 157360 161014 164920 165509 174220 184016 186865 197372 207760 208502 213560 218519 220304 230020 230888 238288 243908 246715 249736 261611 275380 281960 282967 288610 297860 298984 304885 312170 322028 329840 331018 348440 373730 394744 402535 417004 426839 427120 437038 460040 461683 461776 487816 493430 499472 521255 523222 550760 563920 565934 577220 595720 597968 609770 624340 644056 662036 696880 729757 747460 789488 805070 827545 834008 853678 874076 920080 923366 975632 986860 1042510 1046444 1092595 1101520 1131868 1154440 1158563 1191440 1219540 1248680 1288112 1308055 1324072 1414835 1459514 1494920 1529633 1610140 1655090 1668016 1707356 1748152 1846732 1973720 1980769 2085020 2092888 2134195 2185190 2263736 2308415 2308880 2317126 2439080 2497360 2616110 2648144 2829670 2919028 2989840 3059266 3220280 3231781 3310180 3414712 3496304 3648785 3693464 3947440 3961538 4170040 4185776 4268390 4370380 4527472 4616830 4634252 4878160 5232220 5659340 5792815 5838056 6118532 6440560 6463562 6620360 6829424 7297570 7386928 7648165 7923076 8109941 8340080 8536780 8740760 8771977 9233660 9268504 9903845 10464440 11318680 11585630 11676112 12237064 12927124 13240720 13865383 14595140 15296330 15846152 16158905 16219882 17073560 17481520 17543954 18467320 18537008 19807690 20928880 22622467 22637360 23171260 24474128 25854248 27730766 29190280 30592660 31692304 32317810 32439764 34147120 35087908 36934640 39615380 40549705 43859885 45244934 46342520 51708496 55461532 58380560 61185320 61403839 64635620 64879528 69326915 70175816 79230760 81099410 87719770 90489868 92685040 110923064 113112335 122370640 122807678 129271240 129759056 138653830 140351632 158461520 162198820 175439540 180979736 221846128 226224670 245615356 258542480 277307660 307019195 324397640 350879080 361959472 429826873 452449340 491230712 554615320 614038390 648795280 701758160 859653746 904898680 982461424 1109230640 1228076780 1719307492 1809797360 2149134365 2456153560 3438614984 4298268730 4912307120 6877229968 8596537460 17193074920 34386149840
- Sum of all divisors σ(n): 103326243840
- Sum of proper divisors (its aliquot sum) s(n): 68940094000
- 34386149840 is an abundant number, because the sum of its proper divisors (68940094000) is greater than itself. Its abundance is 34553944160
Bases of 34386149840
- Binary: 1000000000011001001100000001110100002
- Hexadecimal: 0x8019301D0
- Base-36: FSOMJ0W
Squares and roots of 34386149840
- 34386149840 squared (343861498402) is 1182407300818932025600
- 34386149840 cubed (343861498403) is 40658434617869751341056315904000
-
The
square root of 34386149840 is 185435.0286218869 -
The
cube root of 34386149840 is 3251.8301278905
Scales and comparisons
How big is 34386149840?- 34,386,149,840 seconds is equal to 1,093 years, 19 weeks, 2 days, 20 hours, 17 minutes, 20 seconds.
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To count from 1 to 34,386,149,840 would take you about two thousand, one hundred eighty-six 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 34386149840 cubic inches would be around 271 feet tall.
Recreational maths with 34386149840
- 34386149840 backwards is 04894168343
- The number of decimal digits it has is: 11
- The sum of 34386149840's digits is 50
- More coming soon!
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