106009440
106,009,440 is an even composite number composed of six prime numbers multiplied together.
106009440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 106009440:
25 × 3 × 5 × 37 × 47 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 37 × 47 × 127)See below for interesting mathematical facts about the number 106009440 from the Numbermatics database.
Names of 106009440
- Cardinal: 106009440 can be written as One hundred six million, nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0600944 × 108
Factors of 106009440
Divisors of 106009440
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 47 48 60 74 80 94 96 111 120 127 141 148 160 185 188 222 235 240 254 282 296 370 376 381 444 470 480 508 555 564 592 635 705 740 752 762 888 940 1016 1110 1128 1184 1270 1410 1480 1504 1524 1739 1776 1880 1905 2032 2220 2256 2540 2820 2960 3048 3478 3552 3760 3810 4064 4440 4512 4699 5080 5217 5640 5920 5969 6096 6956 7520 7620 8695 8880 9398 10160 10434 11280 11938 12192 13912 14097 15240 17390 17760 17907 18796 20320 20868 22560 23495 23876 26085 27824 28194 29845 30480 34780 35814 37592 41736 46990 47752 52170 55648 56388 59690 60960 69560 70485 71628 75184 83472 89535 93980 95504 104340 112776 119380 139120 140970 143256 150368 166944 179070 187960 191008 208680 220853 225552 238760 278240 281940 286512 358140 375920 417360 441706 451104 477520 563880 573024 662559 716280 751840 834720 883412 955040 1104265 1127760 1325118 1432560 1766824 2208530 2255520 2650236 2865120 3312795 3533648 4417060 5300472 6625590 7067296 8834120 10600944 13251180 17668240 21201888 26502360 35336480 53004720 106009440
- Sum of all divisors σ(n): 353009664
- Sum of proper divisors (its aliquot sum) s(n): 247000224
- 106009440 is an abundant number, because the sum of its proper divisors (247000224) is greater than itself. Its abundance is 140990784
Bases of 106009440
- Binary: 1100101000110010011011000002
- Hexadecimal: 0x6519360
- Base-36: 1R45EO
Squares and roots of 106009440
- 106009440 squared (1060094402) is 11238001369113600
- 106009440 cubed (1060094403) is 1191334231858966032384000
-
The
square root of 106009440 is 10296.0885777075 -
The
cube root of 106009440 is 473.2763977451
Scales and comparisons
How big is 106009440?- 106,009,440 seconds is equal to 3 years, 19 weeks, 1 day, 23 hours, 4 minutes.
-
To count from 1 to 106,009,440 would take you about five 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 106009440 cubic inches would be around 39.4 feet tall.
Recreational maths with 106009440
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