138222964834304000
138,222,964,834,304,000 is an even composite number composed of five prime numbers multiplied together.
138222964834304000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred sixty divisors.
Prime factorization of 138222964834304000:
222 × 53 × 7 × 172 × 194
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 19 × 19 × 19 × 19)See below for interesting mathematical facts about the number 138222964834304000 from the Numbermatics database.
Names of 138222964834304000
- Cardinal: 138222964834304000 can be written as One hundred thirty-eight quadrillion, two hundred twenty-two trillion, nine hundred sixty-four billion, eight hundred thirty-four million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.38222964834304 × 1017
Factors of 138222964834304000
Divisors of 138222964834304000
- Number of divisors d(n): 2760
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 25 28 32 34 35 38 40 50 56 64 68 70 76 80 85 95 100 112 119 125 128 133 136 140 152 160 170 175 190 200 224 238 250 256 266 272 280 289 304 320 323 340 350 361 380 400 425 448 475 476 500 512 532 544 560 578 595 608 640 646 665 680 700 722 760 800 850 875 896 950 952 1000 1024 1064 1088 1120 1156 1190 1216 1280 1292 1330 1360 1400 1444 1445 1520 1600 1615 1700 1750 1792 1805 1900 1904 2000 2023 2048 2125 2128 2176 2240 2261 2312 2375 2380 2432 2527 2560 2584 2660 2720 2800 2888 2890 2975 3040 3200 3230 3325 3400 3500 3584 3610 3800 3808 4000 4046 4096 4250 4256 4352 4480 4522 4624 4750 4760 4864 5054 5120 5168 5320 5440 5491 5600 5776 5780 5950 6080 6137 6400 6460 6650 6800 6859 7000 7168 7220 7225 7600 7616 8000 8075 8092 8192 8500 8512 8704 8960 9025 9044 9248 9500 9520 9728 10108 10115 10240 10336 10640 10880 10982 11200 11305 11552 11560 11900 12160 12274 12635 12800 12920 13300 13600 13718 14000 14336 14440 14450 14875 15200 15232 16000 16150 16184 16384 16625 17000 17024 17408 17920 18050 18088 18496 19000 19040 19456 20216 20230 20480 20672 21280 21760 21964 22400 22610 23104 23120 23800 24320 24548 25270 25600 25840 26600 27200 27436 27455 28000 28672 28880 28900 29750 30400 30464 30685 32000 32300 32368 32768 33250 34000 34048 34295 34816 35840 36100 36125 36176 36992 38000 38080 38437 38912 40375 40432 40460 40960 41344 42560 42959 43520 43928 44800 45125 45220 46208 46240 47600 48013 48640 49096 50540 50575 51200 51680 53200 54400 54872 54910 56000 56525 57344 57760 57800 59500 60800 60928 61370 63175 64000 64600 64736 65536 66500 68000 68096 68590 69632 71680 72200 72250 72352 73984 76000 76160 76874 77824 80750 80864 80920 81920 82688 85120 85918 87040 87856 89600 90250 90440 92416 92480 95200 96026 97280 98192 101080 101150 102400 103360 104329 106400 108800 109744 109820 112000 113050 114688 115520 115600 116603 119000 121600 121856 122740 126350 128000 129200 129472 130321 131072 133000 136000 136192 137180 137275 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431946765107200 454680805376000 478280155136000 493653445836800 508172664832000 519635206144000 539933456384000 552891859337216 580768759808000 617066807296000 691114824171520 727489288601600 789845513338880 813076263731200 863893530214400 909361610752000 987306891673600 1016345329664000 1039270412288000 1079866912768000 1105783718674432 1161537519616000 1234133614592000 1382229648343040 1454978577203200 1626152527462400 1727787060428800 1818723221504000 1974613783347200 2032690659328000 2159733825536000 2468267229184000 2764459296686080 3455574120857600 3637446443008000 3949227566694400 4065381318656000 4319467651072000 4936534458368000 5528918593372160 6911148241715200 7274892886016000 8130762637312000 8638935302144000 9873068916736000 13822296483430400 17277870604288000 19746137833472000 27644592966860800 34555741208576000 69111482417152000 138222964834304000
- Sum of all divisors σ(n): 442117935705624672
- Sum of proper divisors (its aliquot sum) s(n): 303894970871320672
- 138222964834304000 is an abundant number, because the sum of its proper divisors (303894970871320672) is greater than itself. Its abundance is 165672006037016672
Bases of 138222964834304000
- Binary: 1111010110001000100001101110111101100000000000000000000002
- Hexadecimal: 0x1EB110DDEC00000
- Base-36: 11SZY9FN5FCW
Squares and roots of 138222964834304000
- 138222964834304000 squared (1382229648343040002) is 19105588007585240210175164416000000
- 138222964834304000 cubed (1382229648343040003) is 2640831019311154881582790433076829396926464000000000
-
The
square root of 138222964834304000 is 371783491.8797551991 -
The
cube root of 138222964834304000 is 517043.0856426191
Scales and comparisons
How big is 138222964834304000?- 138,222,964,834,304,000 seconds is equal to 4,395,062,730 years, 1 week, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,222,964,834,304,000 would take you about thirteen billion, one hundred eighty-five million, one hundred eighty-eight thousand, one hundred ninety 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 138222964834304000 cubic inches would be around 43086.9 feet tall.
Recreational maths with 138222964834304000
- 138222964834304000 backwards is 000403438469222831
- The number of decimal digits it has is: 18
- The sum of 138222964834304000's digits is 59
- More coming soon!
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"Number 138222964834304000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138222964834304000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138222964834304000/
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The information we have on file for 138222964834304000 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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