106813440
106,813,440 is an even composite number composed of five prime numbers multiplied together.
106813440 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 106813440:
211 × 32 × 5 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 61)See below for interesting mathematical facts about the number 106813440 from the Numbermatics database.
Names of 106813440
- Cardinal: 106813440 can be written as One hundred six million, eight hundred thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0681344 × 108
Factors of 106813440
Divisors of 106813440
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 61 64 72 76 80 90 95 96 114 120 122 128 144 152 160 171 180 183 190 192 228 240 244 256 285 288 304 305 320 342 360 366 380 384 456 480 488 512 549 570 576 608 610 640 684 720 732 760 768 855 912 915 960 976 1024 1098 1140 1152 1159 1216 1220 1280 1368 1440 1464 1520 1536 1710 1824 1830 1920 1952 2048 2196 2280 2304 2318 2432 2440 2560 2736 2745 2880 2928 3040 3072 3420 3477 3648 3660 3840 3904 4392 4560 4608 4636 4864 4880 5120 5472 5490 5760 5795 5856 6080 6144 6840 6954 7296 7320 7680 7808 8784 9120 9216 9272 9728 9760 10240 10431 10944 10980 11520 11590 11712 12160 13680 13908 14592 14640 15360 15616 17385 17568 18240 18432 18544 19456 19520 20862 21888 21960 23040 23180 23424 24320 27360 27816 29184 29280 30720 31232 34770 35136 36480 37088 38912 39040 41724 43776 43920 46080 46360 46848 48640 52155 54720 55632 58368 58560 62464 69540 70272 72960 74176 78080 83448 87552 87840 92160 92720 93696 97280 104310 109440 111264 116736 117120 124928 139080 140544 145920 148352 156160 166896 175104 175680 185440 187392 194560 208620 218880 222528 234240 278160 281088 291840 296704 312320 333792 350208 351360 370880 374784 417240 437760 445056 468480 556320 562176 583680 593408 624640 667584 702720 741760 834480 875520 890112 936960 1112640 1124352 1186816 1335168 1405440 1483520 1668960 1751040 1780224 1873920 2225280 2373632 2670336 2810880 2967040 3337920 3560448 4450560 5340672 5621760 5934080 6675840 7120896 8901120 10681344 11868160 13351680 17802240 21362688 26703360 35604480 53406720 106813440
- Sum of all divisors σ(n): 396068400
- Sum of proper divisors (its aliquot sum) s(n): 289254960
- 106813440 is an abundant number, because the sum of its proper divisors (289254960) is greater than itself. Its abundance is 182441520
Bases of 106813440
- Binary: 1100101110111011000000000002
- Hexadecimal: 0x65DD800
- Base-36: 1RLDS0
Squares and roots of 106813440
- 106813440 squared (1068134402) is 11409110964633600
- 106813440 cubed (1068134403) is 1218646389474233155584000
-
The
square root of 106813440 is 10335.0587806747 -
The
cube root of 106813440 is 474.4698646901
Scales and comparisons
How big is 106813440?- 106,813,440 seconds is equal to 3 years, 20 weeks, 4 days, 6 hours, 24 minutes.
-
To count from 1 to 106,813,440 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 106813440 cubic inches would be around 39.5 feet tall.
Recreational maths with 106813440
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