34138948480000
34,138,948,480,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34138948480000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
34138948480000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 34138948480000:
210 × 54 × 7 × 13 × 17 × 292 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 13 × 17 × 29 × 29 × 41)See below for interesting mathematical facts about the number 34138948480000 from the Numbermatics database.
Names of 34138948480000
- Cardinal: 34138948480000 can be written as Thirty-four trillion, one hundred thirty-eight billion, nine hundred forty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 3.413894848 × 1013
Factors of 34138948480000
Divisors of 34138948480000
- Number of divisors d(n): 2640
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 29 32 34 35 40 41 50 52 56 58 64 65 68 70 80 82 85 91 100 104 112 116 119 125 128 130 136 140 145 160 164 170 175 182 200 203 205 208 221 224 232 238 250 256 260 272 280 287 290 320 325 328 340 350 364 377 400 406 410 416 425 442 448 455 464 476 493 500 512 520 533 544 560 574 580 595 625 640 650 656 680 697 700 725 728 754 800 812 820 832 841 850 875 884 896 910 928 952 986 1000 1015 1024 1025 1040 1066 1088 1105 1120 1148 1160 1189 1190 1250 1280 1300 1312 1360 1394 1400 1435 1450 1456 1508 1547 1600 1624 1625 1640 1664 1682 1700 1750 1768 1792 1820 1856 1885 1904 1972 2000 2030 2050 2080 2125 2132 2176 2210 2240 2275 2296 2320 2378 2380 2465 2500 2560 2600 2624 2639 2665 2720 2788 2800 2870 2900 2912 2975 3016 3094 3200 3248 3250 3280 3328 3364 3400 3451 3485 3500 3536 3584 3625 3640 3712 3731 3770 3808 3944 4000 4060 4100 4160 4205 4250 4264 4352 4375 4420 4480 4550 4592 4640 4756 4760 4879 4930 5000 5075 5120 5125 5200 5248 5278 5330 5440 5525 5576 5600 5740 5800 5824 5887 5945 5950 6032 6188 6400 6409 6496 6500 6560 6656 6728 6800 6902 6970 7000 7072 7168 7175 7250 7280 7424 7462 7540 7616 7735 7888 8000 8120 8125 8200 8320 8323 8410 8500 8528 8704 8750 8840 8960 9061 9100 9184 9280 9425 9512 9520 9758 9860 10000 10150 10250 10400 10496 10556 10625 10660 10880 10933 11050 11152 11200 11375 11480 11600 11648 11774 11890 11900 12064 12325 12376 12800 12818 12992 13000 13120 13195 13312 13325 13456 13600 13804 13940 14000 14144 14297 14350 14500 14560 14848 14875 14924 15080 15232 15457 15470 15776 16000 16240 16250 16400 16640 16646 16820 17000 17056 17255 17408 17425 17500 17680 17920 18122 18125 18200 18368 18560 18655 18850 19024 19040 19516 19720 20000 20213 20300 20500 20800 20992 21025 21112 21250 21320 21760 21866 22100 22304 22400 22750 22960 23200 23296 23548 23780 23800 24128 24395 24650 24752 25375 25600 25625 25636 25984 26000 26240 26390 26650 26912 27200 27608 27625 27880 28000 28288 28594 28700 29000 29120 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117720512000 118951040000 121924816000 125510840000 131303648000 133355267500 136555793920 143440960000 147150640000 152406020000 154474880000 164129560000 166531456000 168172160000 170694742400 187576640000 195079705600 200817344000 208164320000 213368428000 235441024000 243849632000 251021680000 262607296000 266710535000 273111587840 286881920000 294301280000 304812040000 328259120000 341389484800 375153280000 401634688000 416328640000 426736856000 487699264000 502043360000 525214592000 533421070000 588602560000 609624080000 656518240000 682778969600 832657280000 853473712000 975398528000 1004086720000 1066842140000 1177205120000 1219248160000 1313036480000 1365557939200 1706947424000 2008173440000 2133684280000 2438496320000 2626072960000 3413894848000 4267368560000 4876992640000 6827789696000 8534737120000 17069474240000 34138948480000
- Sum of all divisors σ(n): 117903541339584
- Sum of proper divisors (its aliquot sum) s(n): 83764592859584
- 34138948480000 is an abundant number, because the sum of its proper divisors (83764592859584) is greater than itself. Its abundance is 49625644379584
Bases of 34138948480000
- Binary: 1111100001100100101111110010110101100000000002
- Hexadecimal: 0x1F0C97E5AC00
- Base-36: C3N7SHEKG
Squares and roots of 34138948480000
- 34138948480000 squared (341389484800002) is 1165467803320094310400000000
- 34138948480000 cubed (341389484800003) is 39787845292643472611486728192000000000000
-
The
square root of 34138948480000 is 5842854.4804744197 -
The
cube root of 34138948480000 is 32440.1893192909
Scales and comparisons
How big is 34138948480000?- 34,138,948,480,000 seconds is equal to 1,085,512 years, 50 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 34,138,948,480,000 would take you about two million, seven hundred thirteen thousand, seven hundred eighty-two 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 34138948480000 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34138948480000
- 34138948480000 backwards is 00008484983143
- 34138948480000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34138948480000's digits is 52
- More coming soon!
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The information we have on file for 34138948480000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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