232142942400
232,142,942,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 232142942400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
232142942400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 232142942400:
26 × 3 × 52 × 17 × 19 × 149731
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 19 × 149731)See below for interesting mathematical facts about the number 232142942400 from the Numbermatics database.
Names of 232142942400
- Cardinal: 232142942400 can be written as Two hundred thirty-two billion, one hundred forty-two million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.321429424 × 1011
Factors of 232142942400
Divisors of 232142942400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 57 60 64 68 75 76 80 85 95 96 100 102 114 120 136 150 152 160 170 190 192 200 204 228 240 255 272 285 300 304 320 323 340 380 400 408 425 456 475 480 510 544 570 600 608 646 680 760 800 816 850 912 950 960 969 1020 1088 1140 1200 1216 1275 1292 1360 1425 1520 1600 1615 1632 1700 1824 1900 1938 2040 2280 2400 2550 2584 2720 2850 3040 3230 3264 3400 3648 3800 3876 4080 4560 4800 4845 5100 5168 5440 5700 6080 6460 6800 7600 7752 8075 8160 9120 9690 10200 10336 11400 12920 13600 15200 15504 16150 16320 18240 19380 20400 20672 22800 24225 25840 27200 30400 31008 32300 38760 40800 45600 48450 51680 62016 64600 77520 81600 91200 96900 103360 129200 149731 155040 193800 258400 299462 310080 387600 449193 516800 598924 748655 775200 898386 1197848 1497310 1550400 1796772 2245965 2395696 2545427 2844889 2994620 3593544 3743275 4491930 4791392 5090854 5689778 5989240 7187088 7486550 7636281 8534667 8983860 9582784 10181708 11229825 11379556 11978480 12727135 14224445 14374176 14973100 15272562 17069334 17967720 20363416 22459650 22759112 23956960 25454270 28448890 28748352 29946200 30545124 34138668 35935440 38181405 40726832 42673335 44919300 45518224 47913920 48363113 50908540 56897780 59892400 61090248 63635675 68277336 71122225 71870880 76362810 81453664 85346670 89838600 91036448 96726226 101817080 113795560 119784800 122180496 127271350 136554672 142244450 143741760 145089339 152725620 162907328 170693340 179677200 182072896 190907025 193452452 203634160 213366675 227591120 239569600 241815565 244360992 254542700 273109344 284488900 290178678 305451240 341386680 359354400 381814050 386904904 407268320 426733350 455182240 483631130 488721984 509085400 546218688 568977800 580357356 610902480 682773360 718708800 725446695 763628100 773809808 814536640 853466700 910364480 967262260 1018170800 1137955600 1160714712 1209077825 1221804960 1365546720 1450893390 1527256200 1547619616 1706933400 1934524520 2036341600 2275911200 2321429424 2418155650 2443609920 2731093440 2901786780 3054512400 3095239232 3413866800 3627233475 3869049040 4072683200 4551822400 4642858848 4836311300 5803573560 6109024800 6827733600 7254466950 7738098080 9285717696 9672622600 11607147120 12218049600 13655467200 14508933900 15476196160 19345245200 23214294240 29017867800 38690490400 46428588480 58035735600 77380980800 116071471200 232142942400
- Sum of all divisors σ(n): 848872632960
- Sum of proper divisors (its aliquot sum) s(n): 616729690560
- 232142942400 is an abundant number, because the sum of its proper divisors (616729690560) is greater than itself. Its abundance is 384586748160
Bases of 232142942400
- Binary: 110110000011001100110000110000110000002
- Hexadecimal: 0x360CCC30C0
- Base-36: 2YN7WWQO
Squares and roots of 232142942400
- 232142942400 squared (2321429424002) is 53890345706129717760000
- 232142942400 cubed (2321429424003) is 12510263419174158396887937024000000
-
The
square root of 232142942400 is 481812.1443052261 -
The
cube root of 232142942400 is 6145.8953587775
Scales and comparisons
How big is 232142942400?- 232,142,942,400 seconds is equal to 7,381 years, 22 weeks, 1 day, 14 hours, 40 minutes.
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To count from 1 to 232,142,942,400 would take you about fourteen thousand, seven hundred sixty-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 232142942400 cubic inches would be around 512.2 feet tall.
Recreational maths with 232142942400
- 232142942400 backwards is 004249241232
- The number of decimal digits it has is: 12
- The sum of 232142942400's digits is 33
- More coming soon!
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