106133040
106,133,040 is an even composite number composed of seven prime numbers multiplied together.
106133040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 106133040:
24 × 32 × 5 × 13 × 17 × 23 × 29
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 23 × 29)See below for interesting mathematical facts about the number 106133040 from the Numbermatics database.
Names of 106133040
- Cardinal: 106133040 can be written as One hundred six million, one hundred thirty-three thousand and forty.
Scientific notation
- Scientific notation: 1.0613304 × 108
Factors of 106133040
Divisors of 106133040
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 23 24 26 29 30 34 36 39 40 45 46 48 51 52 58 60 65 68 69 72 78 80 85 87 90 92 102 104 115 116 117 120 130 136 138 144 145 153 156 170 174 180 184 195 204 207 208 221 230 232 234 240 255 260 261 272 276 290 299 306 312 340 345 348 360 368 377 390 391 408 414 435 442 460 464 468 493 510 520 522 552 580 585 598 612 624 663 667 680 690 696 720 754 765 780 782 816 828 870 884 897 920 936 986 1020 1035 1040 1044 1104 1105 1131 1160 1170 1173 1196 1224 1305 1326 1334 1360 1380 1392 1479 1495 1508 1530 1560 1564 1656 1740 1768 1794 1840 1872 1885 1955 1972 1989 2001 2040 2070 2088 2210 2262 2320 2340 2346 2392 2448 2465 2610 2652 2668 2691 2760 2958 2990 3016 3060 3120 3128 3312 3315 3335 3393 3480 3519 3536 3588 3770 3910 3944 3978 4002 4080 4140 4176 4420 4437 4485 4524 4680 4692 4784 4930 5083 5220 5304 5336 5382 5520 5655 5865 5916 5980 6003 6032 6120 6256 6409 6630 6670 6786 6960 7038 7176 7395 7540 7820 7888 7956 8004 8280 8671 8840 8874 8970 9048 9360 9384 9860 9945 10005 10166 10440 10608 10672 10764 11310 11339 11730 11832 11960 12006 12240 12818 13260 13340 13455 13572 14076 14352 14790 15080 15249 15640 15912 16008 16560 16965 17342 17595 17680 17748 17940 18096 18768 19227 19720 19890 20010 20332 20880 21528 22185 22620 22678 23460 23664 23920 24012 25415 25636 26013 26520 26680 26910 27144 28152 29580 30015 30160 30498 31280 31824 32016 32045 33930 34017 34684 35190 35496 35880 38454 39440 39780 40020 40664 43056 43355 44370 45240 45356 45747 46920 48024 50830 51272 52026 53040 53360 53820 54288 56304 56695 57681 59160 60030 60996 64090 67860 68034 69368 70380 70992 71760 76245 76908 78039 79560 80040 81328 86710 88740 90480 90712 91494 93840 96048 96135 101660 102051 102544 104052 107640 113390 115362 118320 120060 121992 128180 130065 135720 136068 138736 140760 147407 152490 153816 156078 159120 160080 170085 173420 177480 181424 182988 192270 203320 204102 208104 215280 226780 228735 230724 240120 243984 256360 260130 271440 272136 281520 288405 294814 304980 307632 312156 340170 346840 354960 365976 384540 390195 406640 408204 416208 442221 453560 457470 461448 480240 510255 512720 520260 544272 576810 589628 609960 624312 680340 693680 731952 737035 769080 780390 816408 884442 907120 914940 922896 1020510 1040520 1153620 1179256 1219920 1248624 1326663 1360680 1474070 1538160 1560780 1632816 1768884 1829880 2041020 2081040 2211105 2307240 2358512 2653326 2721360 2948140 3121560 3537768 3659760 4082040 4422210 4614480 5306652 5896280 6243120 6633315 7075536 8164080 8844420 10613304 11792560 13266630 17688840 21226608 26533260 35377680 53066520 106133040
- Sum of all divisors σ(n): 438721920
- Sum of proper divisors (its aliquot sum) s(n): 332588880
- 106133040 is an abundant number, because the sum of its proper divisors (332588880) is greater than itself. Its abundance is 226455840
Bases of 106133040
- Binary: 1100101001101110110001100002
- Hexadecimal: 0x6537630
- Base-36: 1R6SS0
Squares and roots of 106133040
- 106133040 squared (1061330402) is 11264222179641600
- 106133040 cubed (1061330403) is 1195506143160789118464000
-
The
square root of 106133040 is 10302.0891085255 -
The
cube root of 106133040 is 473.4602626379
Scales and comparisons
How big is 106133040?- 106,133,040 seconds is equal to 3 years, 19 weeks, 3 days, 9 hours, 24 minutes.
-
To count from 1 to 106,133,040 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 106133040 cubic inches would be around 39.5 feet tall.
Recreational maths with 106133040
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