34106493440
34,106,493,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 34106493440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
34106493440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 34106493440:
29 × 5 × 17 × 37 × 59 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 37 × 59 × 359)See below for interesting mathematical facts about the number 34106493440 from the Numbermatics database.
Names of 34106493440
- Cardinal: 34106493440 can be written as Thirty-four billion, one hundred six million, four hundred ninety-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 3.410649344 × 1010
Factors of 34106493440
Divisors of 34106493440
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 32 34 37 40 59 64 68 74 80 85 118 128 136 148 160 170 185 236 256 272 295 296 320 340 359 370 472 512 544 590 592 629 640 680 718 740 944 1003 1088 1180 1184 1258 1280 1360 1436 1480 1795 1888 2006 2176 2183 2360 2368 2516 2560 2720 2872 2960 3145 3590 3776 4012 4352 4366 4720 4736 5015 5032 5440 5744 5920 6103 6290 7180 7552 8024 8704 8732 9440 9472 10030 10064 10880 10915 11488 11840 12206 12580 13283 14360 15104 16048 17464 18880 18944 20060 20128 21181 21760 21830 22976 23680 24412 25160 26566 28720 30208 30515 32096 34928 37111 37760 40120 40256 42362 43520 43660 45952 47360 48824 50320 53132 57440 61030 64192 66415 69856 74222 75520 80240 80512 84724 87320 91904 94720 97648 100640 105905 106264 114880 122060 128384 132830 139712 148444 151040 160480 161024 169448 174640 183808 185555 195296 201280 211810 212528 225811 229760 244120 256768 265660 279424 296888 320960 322048 338896 349280 360077 371110 390592 402560 423620 425056 451622 459520 488240 513536 531320 558848 593776 641920 677792 698560 720154 742220 781184 783697 805120 847240 850112 903244 919040 976480 1062640 1117696 1129055 1187552 1283840 1355584 1397120 1440308 1484440 1562368 1567394 1610240 1694480 1700224 1800385 1806488 1952960 2125280 2258110 2375104 2567680 2711168 2794240 2880616 2968880 3124736 3134788 3388960 3400448 3600770 3612976 3905920 3918485 4250560 4516220 4750208 5422336 5588480 5761232 5937760 6269576 6777920 6800896 7201540 7225952 7811840 7836970 8501120 9032440 9500416 10844672 11522464 11875520 12539152 13322849 13555840 14403080 14451904 15623680 15673940 17002240 18064880 19000832 23044928 23751040 25078304 26645698 27111680 28806160 28903808 31347880 34004480 36129760 46089856 47502080 50156608 53291396 54223360 57612320 57807616 62695760 66614245 72259520 92179712 95004160 100313216 106582792 115224640 115615232 125391520 133228490 144519040 184359424 200626432 213165584 230449280 250783040 266456980 289038080 401252864 426331168 460898560 501566080 532913960 578076160 852662336 921797120 1003132160 1065827920 1705324672 2006264320 2131655840 3410649344 4263311680 6821298688 8526623360 17053246720 34106493440
- Sum of all divisors σ(n): 90685267200
- Sum of proper divisors (its aliquot sum) s(n): 56578773760
- 34106493440 is an abundant number, because the sum of its proper divisors (56578773760) is greater than itself. Its abundance is 22472280320
Bases of 34106493440
- Binary: 111111100001110011111001010000000002
- Hexadecimal: 0x7F0E7CA00
- Base-36: FO24IRK
Squares and roots of 34106493440
- 34106493440 squared (341064934402) is 1163252894772763033600
- 34106493440 cubed (341064934403) is 39674477224628252696152899584000
-
The
square root of 34106493440 is 184679.4342638075 -
The
cube root of 34106493440 is 3242.9906035791
Scales and comparisons
How big is 34106493440?- 34,106,493,440 seconds is equal to 1,084 years, 25 weeks, 1 hour, 57 minutes, 20 seconds.
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To count from 1 to 34,106,493,440 would take you about two thousand, one hundred sixty-eight 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 34106493440 cubic inches would be around 270.2 feet tall.
Recreational maths with 34106493440
- 34106493440 backwards is 04439460143
- The number of decimal digits it has is: 11
- The sum of 34106493440's digits is 38
- More coming soon!
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