6401648998400
6,401,648,998,400 is an even composite number composed of five prime numbers multiplied together.
6401648998400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 6401648998400:
211 × 52 × 31 × 71 × 56807
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 71 × 56807)See below for interesting mathematical facts about the number 6401648998400 from the Numbermatics database.
Names of 6401648998400
- Cardinal: 6401648998400 can be written as Six trillion, four hundred one billion, six hundred forty-eight million, nine hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 6.4016489984 × 1012
Factors of 6401648998400
Divisors of 6401648998400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 71 80 100 124 128 142 155 160 200 248 256 284 310 320 355 400 496 512 568 620 640 710 775 800 992 1024 1136 1240 1280 1420 1550 1600 1775 1984 2048 2201 2272 2480 2560 2840 3100 3200 3550 3968 4402 4544 4960 5120 5680 6200 6400 7100 7936 8804 9088 9920 10240 11005 11360 12400 12800 14200 15872 17608 18176 19840 22010 22720 24800 25600 28400 31744 35216 36352 39680 44020 45440 49600 51200 55025 56800 56807 63488 70432 72704 79360 88040 90880 99200 110050 113600 113614 140864 145408 158720 176080 181760 198400 220100 227200 227228 281728 284035 317440 352160 363520 396800 440200 454400 454456 563456 568070 704320 727040 793600 880400 908800 908912 1126912 1136140 1408640 1420175 1587200 1760800 1761017 1817600 1817824 2253824 2272280 2817280 2840350 3521600 3522034 3635200 3635648 4033297 4507648 4544560 5634560 5680700 7043200 7044068 7271296 8066594 8805085 9089120 11269120 11361400 14086400 14088136 14542592 16133188 17610170 18178240 20166485 22538240 22722800 28172800 28176272 29085184 32266376 35220340 36356480 40332970 44025425 45445600 56345600 56352544 58170368 64532752 70440680 72712960 80665940 88050850 90891200 100832425 112691200 112705088 116340736 125032207 129065504 140881360 145425920 161331880 176101700 181782400 201664850 225410176 250064414 258131008 281762720 290851840 322663760 352203400 363564800 403329700 450820352 500128828 516262016 563525440 581703680 625161035 645327520 704406800 727129600 806659400 901640704 1000257656 1032524032 1127050880 1250322070 1290655040 1408813600 1454259200 1613318800 1803281408 2000515312 2065048064 2254101760 2500644140 2581310080 2817627200 2908518400 3125805175 3226637600 3606562816 4001030624 4130096128 4508203520 5001288280 5162620160 5635254400 6251610350 6453275200 8002061248 8260192256 9016407040 10002576560 10325240320 11270508800 12503220700 12906550400 16004122496 18032814080 20005153120 20650480640 22541017600 25006441400 25813100800 32008244992 40010306240 41300961280 45082035200 50012882800 51626201600 64016489984 80020612480 90164070400 100025765600 103252403200 128032979968 160041224960 200051531200 206504806400 256065959936 320082449920 400103062400 640164899840 800206124800 1280329799680 1600412249600 3200824499200 6401648998400
- Sum of all divisors σ(n): 16615276554240
- Sum of proper divisors (its aliquot sum) s(n): 10213627555840
- 6401648998400 is an abundant number, because the sum of its proper divisors (10213627555840) is greater than itself. Its abundance is 3811978557440
Bases of 6401648998400
- Binary: 10111010010100000000000001110111000000000002
- Hexadecimal: 0x5D28003B800
- Base-36: 29OVKJ08W
Squares and roots of 6401648998400
- 6401648998400 squared (64016489984002) is 40981109898715723202560000
- 6401648998400 cubed (64016489984003) is 262346681136433834885999864315904000000
-
The
square root of 6401648998400 is 2530148.0190692401 -
The
cube root of 6401648998400 is 18567.9497751365
Scales and comparisons
How big is 6401648998400?- 6,401,648,998,400 seconds is equal to 203,552 years, 33 weeks, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 6,401,648,998,400 would take you about five hundred eight thousand, eight hundred eighty-one 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 6401648998400 cubic inches would be around 1547.3 feet tall.
Recreational maths with 6401648998400
- 6401648998400 backwards is 0048998461046
- The number of decimal digits it has is: 13
- The sum of 6401648998400's digits is 59
- More coming soon!
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