106429440
106,429,440 is an even composite number composed of five prime numbers multiplied together.
106429440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 106429440:
210 × 3 × 5 × 132 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 41)See below for interesting mathematical facts about the number 106429440 from the Numbermatics database.
Names of 106429440
- Cardinal: 106429440 can be written as One hundred six million, four hundred twenty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0642944 × 108
Factors of 106429440
Divisors of 106429440
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 41 48 52 60 64 65 78 80 82 96 104 120 123 128 130 156 160 164 169 192 195 205 208 240 246 256 260 312 320 328 338 384 390 410 416 480 492 507 512 520 533 615 624 640 656 676 768 780 820 832 845 960 984 1014 1024 1040 1066 1230 1248 1280 1312 1352 1536 1560 1599 1640 1664 1690 1920 1968 2028 2080 2132 2460 2496 2535 2560 2624 2665 2704 3072 3120 3198 3280 3328 3380 3840 3936 4056 4160 4264 4920 4992 5070 5120 5248 5330 5408 6240 6396 6560 6656 6760 6929 7680 7872 7995 8112 8320 8528 9840 9984 10140 10496 10660 10816 12480 12792 13120 13312 13520 13858 15360 15744 15990 16224 16640 17056 19680 19968 20280 20787 20992 21320 21632 24960 25584 26240 27040 27716 31488 31980 32448 33280 34112 34645 39360 39936 40560 41574 41984 42640 43264 49920 51168 52480 54080 55432 62976 63960 64896 66560 68224 69290 78720 81120 83148 85280 86528 99840 102336 103935 104960 108160 110864 125952 127920 129792 136448 138580 157440 162240 166296 170560 173056 199680 204672 207870 209920 216320 221728 255840 259584 272896 277160 314880 324480 332592 341120 409344 415740 432640 443456 511680 519168 545792 554320 629760 648960 665184 682240 818688 831480 865280 886912 1023360 1108640 1297920 1330368 1364480 1637376 1662960 1773824 2046720 2217280 2595840 2660736 2728960 3325920 3547648 4093440 4434560 5321472 6651840 7095296 8186880 8869120 10642944 13303680 17738240 21285888 26607360 35476480 53214720 106429440
- Sum of all divisors σ(n): 377597808
- Sum of proper divisors (its aliquot sum) s(n): 271168368
- 106429440 is an abundant number, because the sum of its proper divisors (271168368) is greater than itself. Its abundance is 164738928
Bases of 106429440
- Binary: 1100101011111111100000000002
- Hexadecimal: 0x657FC00
- Base-36: 1RD5HC
Squares and roots of 106429440
- 106429440 squared (1064294402) is 11327225698713600
- 106429440 cubed (1064294403) is 1205550287867697168384000
-
The
square root of 106429440 is 10316.4645106741 -
The
cube root of 106429440 is 473.9006004961
Scales and comparisons
How big is 106429440?- 106,429,440 seconds is equal to 3 years, 19 weeks, 6 days, 19 hours, 44 minutes.
-
To count from 1 to 106,429,440 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 106429440 cubic inches would be around 39.5 feet tall.
Recreational maths with 106429440
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