10134034134400
10,134,034,134,400 is an even composite number composed of six prime numbers multiplied together.
10134034134400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 10134034134400:
27 × 52 × 11 × 19 × 83 × 182561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 19 × 83 × 182561)See below for interesting mathematical facts about the number 10134034134400 from the Numbermatics database.
Names of 10134034134400
- Cardinal: 10134034134400 can be written as Ten trillion, one hundred thirty-four billion, thirty-four million, one hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.01340341344 × 1013
Factors of 10134034134400
Divisors of 10134034134400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 83 88 95 100 110 128 152 160 166 176 190 200 209 220 275 304 320 332 352 380 400 415 418 440 475 550 608 640 664 704 760 800 830 836 880 913 950 1045 1100 1216 1328 1408 1520 1577 1600 1660 1672 1760 1826 1900 2075 2090 2200 2432 2656 3040 3154 3200 3320 3344 3520 3652 3800 4150 4180 4400 4565 5225 5312 6080 6308 6640 6688 7040 7304 7600 7885 8300 8360 8800 9130 10450 10624 12160 12616 13280 13376 14608 15200 15770 16600 16720 17347 17600 18260 20900 22825 25232 26560 26752 29216 30400 31540 33200 33440 34694 35200 36520 39425 41800 45650 50464 53120 58432 60800 63080 66400 66880 69388 73040 78850 83600 86735 91300 100928 116864 126160 132800 133760 138776 146080 157700 167200 173470 182561 182600 201856 252320 265600 277552 292160 315400 334400 346940 365122 365200 433675 504640 555104 584320 630800 668800 693880 730244 730400 867350 912805 1009280 1110208 1261600 1387760 1460488 1460800 1734700 1825610 2008171 2220416 2523200 2775520 2920976 2921600 3468659 3469400 3651220 4016342 4564025 5046400 5551040 5841952 6937318 6938800 7302440 8032684 9128050 10040855 11102080 11683904 13874636 13877600 14604880 15152563 16065368 17343295 18256100 20081710 23367808 27749272 27755200 29209760 30305126 32130736 34686590 36512200 38155249 40163420 50204275 55498544 55510400 58419520 60610252 64261472 69373180 73024400 75762815 76310498 80326840 86716475 100408550 110997088 116839040 121220504 128522944 138746360 146048800 151525630 152620996 160653680 166678193 173432950 190776245 200817100 221994176 242441008 257045888 277492720 287898697 292097600 303051260 305241992 321307360 333356386 346865900 378814075 381552490 401634200 443988352 484882016 554985440 575797394 584195200 606102520 610483984 642614720 666712772 693731800 757628150 763104980 803268400 833390965 953881225 969764032 1109970880 1151594788 1212205040 1220967968 1285229440 1333425544 1387463600 1439493485 1515256300 1526209960 1606536800 1666781930 1907762450 1939528064 2219941760 2303189576 2424410080 2441935936 2666851088 2774927200 2878986970 3030512600 3052419920 3166885667 3213073600 3333563860 3815524900 4166954825 4606379152 4848820160 4883871872 5333702176 5549854400 5757973940 6061025200 6104839840 6333771334 6426147200 6667127720 7197467425 7631049800 8333909650 9212758304 9697640320 10667404352 11099708800 11515947880 12122050400 12209679680 12667542668 13334255440 14394934850 15262099600 15834428335 16667819300 18425516608 21334808704 23031895760 24244100800 24419359360 25335085336 26668510880 28789869700 30524199200 31668856670 33335638600 36851033216 46063791520 48488201600 50670170672 53337021760 57579739400 61048398400 63337713340 66671277200 79172141675 92127583040 101340341344 106674043520 115159478800 122096796800 126675426680 133342554400 158344283350 184255166080 202680682688 230318957600 253350853360 266685108800 316688566700 405361365376 460637915200 506701706720 533370217600 633377133400 921275830400 1013403413440 1266754266800 2026806826880 2533508533600 5067017067200 10134034134400
- Sum of all divisors σ(n): 29093956617600
- Sum of proper divisors (its aliquot sum) s(n): 18959922483200
- 10134034134400 is an abundant number, because the sum of its proper divisors (18959922483200) is greater than itself. Its abundance is 8825888348800
Bases of 10134034134400
- Binary: 100100110111100000111000000100110101100000002
- Hexadecimal: 0x93783813580
- Base-36: 3LBIE9QPS
Squares and roots of 10134034134400
- 10134034134400 squared (101340341344002) is 102698647837184357263360000
- 10134034134400 cubed (101340341344003) is 1040751602738751010092614810435584000000
-
The
square root of 10134034134400 is 3183399.7760884511 -
The
cube root of 10134034134400 is 21640.1759512279
Scales and comparisons
How big is 10134034134400?- 10,134,034,134,400 seconds is equal to 322,230 years, 48 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 10,134,034,134,400 would take you about eight hundred five thousand, five hundred seventy-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 10134034134400 cubic inches would be around 1803.3 feet tall.
Recreational maths with 10134034134400
- 10134034134400 backwards is 00443143043101
- The number of decimal digits it has is: 14
- The sum of 10134034134400's digits is 28
- More coming soon!
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