3434142073440
3,434,142,073,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3434142073440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
3434142073440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 3434142073440:
25 × 3 × 5 × 13 × 61 × 2801 × 3221
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 61 × 2801 × 3221)See below for interesting mathematical facts about the number 3434142073440 from the Numbermatics database.
Names of 3434142073440
- Cardinal: 3434142073440 can be written as Three trillion, four hundred thirty-four billion, one hundred forty-two million, seventy-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 3.43414207344 × 1012
Factors of 3434142073440
Divisors of 3434142073440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 61 65 78 80 96 104 120 122 130 156 160 183 195 208 240 244 260 305 312 366 390 416 480 488 520 610 624 732 780 793 915 976 1040 1220 1248 1464 1560 1586 1830 1952 2080 2379 2440 2801 2928 3120 3172 3221 3660 3965 4758 4880 5602 5856 6240 6344 6442 7320 7930 8403 9516 9663 9760 11204 11895 12688 12884 14005 14640 15860 16105 16806 19032 19326 22408 23790 25376 25768 28010 29280 31720 32210 33612 36413 38064 38652 41873 42015 44816 47580 48315 51536 56020 63440 64420 67224 72826 76128 77304 83746 84030 89632 95160 96630 103072 109239 112040 125619 126880 128840 134448 145652 154608 167492 168060 170861 182065 190320 193260 196481 209365 218478 224080 251238 257680 268896 291304 309216 334984 336120 341722 364130 380640 386520 392962 418730 436956 448160 502476 512583 515360 546195 582608 589443 628095 669968 672240 683444 728260 773040 785924 837460 854305 873912 982405 1004952 1025166 1092390 1165216 1178886 1256190 1339936 1344480 1366888 1456520 1546080 1571848 1674920 1708610 1747824 1964810 2009904 2050332 2184780 2221193 2357772 2512380 2554253 2562915 2733776 2913040 2947215 3143696 3349840 3417220 3495648 3929620 4019808 4100664 4369560 4442386 4715544 5024760 5108506 5125830 5467552 5826080 5894430 6287392 6663579 6699680 6834440 7662759 7859240 8201328 8739120 8884772 9022021 9431088 10049520 10217012 10251660 11105965 11788860 12771265 13327158 13668880 15325518 15718480 16402656 17478240 17769544 18044042 18862176 20099040 20434024 20503320 22211930 23577720 25542530 26654316 27066063 27337760 30651036 31436960 33317895 35539088 36088084 38313795 40868048 41006640 44423860 45110105 47155440 51085060 53308632 54132126 61302072 66635790 71078176 72176168 76627590 81736096 82013280 88847720 90220210 94310880 102170120 106617264 108264252 117286273 122604144 133271580 135330315 144352336 153255180 177695440 180440420 204340240 213234528 216528504 234572546 245208288 266543160 270660630 288704672 306510360 351858819 355390880 360880840 408680480 433057008 469145092 533086320 541321260 550343281 586431365 613020720 703717638 721761680 866114016 938290184 1066172640 1082642520 1100686562 1172862730 1226041440 1407435276 1443523360 1651029843 1759294095 1876580368 2165285040 2201373124 2345725460 2751716405 2814870552 3302059686 3518588190 3753160736 4330570080 4402746248 4691450920 5503432810 5629741104 6604119372 7037176380 7154462653 8255149215 8805492496 9382901840 11006865620 11259482208 13208238744 14074352760 14308925306 16510298430 17610984992 18765803680 21463387959 22013731240 26416477488 28148705520 28617850612 33020596860 35772313265 42926775918 44027462480 52832954976 56297411040 57235701224 66041193720 71544626530 85853551836 88054924960 107316939795 114471402448 132082387440 143089253060 171707103672 214633879590 228942804896 264164774880 286178506120 343414207344 429267759180 572357012240 686828414688 858535518360 1144714024480 1717071036720 3434142073440
- Sum of all divisors σ(n): 11848549394304
- Sum of proper divisors (its aliquot sum) s(n): 8414407320864
- 3434142073440 is an abundant number, because the sum of its proper divisors (8414407320864) is greater than itself. Its abundance is 4980265247424
Bases of 3434142073440
- Binary: 1100011111100100101101000110000010011000002
- Hexadecimal: 0x31F92D18260
- Base-36: 17TMFIULC
Squares and roots of 3434142073440
- 3434142073440 squared (34341420734402) is 11793331780570782353433600
- 3434142073440 cubed (34341420734403) is 40499976853695193617903426007363584000
-
The
square root of 3434142073440 is 1853143.8350651575 -
The
cube root of 3434142073440 is 15087.1110186403
Scales and comparisons
How big is 3434142073440?- 3,434,142,073,440 seconds is equal to 109,195 years, 4 weeks, 6 days, 17 hours, 44 minutes.
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To count from 1 to 3,434,142,073,440 would take you about two hundred seventy-two thousand, nine hundred eighty-seven 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 3434142073440 cubic inches would be around 1257.3 feet tall.
Recreational maths with 3434142073440
- 3434142073440 backwards is 0443702414343
- 3434142073440 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3434142073440's digits is 39
- More coming soon!
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