164413200
164,413,200 is an even composite number composed of six prime numbers multiplied together.
164413200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 164413200:
24 × 3 × 52 × 7 × 232 × 37
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 23 × 23 × 37)See below for interesting mathematical facts about the number 164413200 from the Numbermatics database.
Names of 164413200
- Cardinal: 164413200 can be written as One hundred sixty-four million, four hundred thirteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.644132 × 108
Factors of 164413200
Divisors of 164413200
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 35 37 40 42 46 48 50 56 60 69 70 74 75 80 84 92 100 105 111 112 115 120 138 140 148 150 161 168 175 184 185 200 210 222 230 240 259 276 280 296 300 322 336 345 350 368 370 400 420 444 460 483 518 525 529 552 555 560 575 592 600 644 690 700 740 777 805 840 851 888 920 925 966 1036 1050 1058 1104 1110 1150 1200 1288 1295 1380 1400 1480 1554 1587 1610 1680 1702 1725 1776 1840 1850 1932 2072 2100 2116 2220 2300 2415 2553 2576 2590 2645 2760 2775 2800 2960 3108 3174 3220 3404 3450 3700 3703 3864 3885 4025 4144 4200 4232 4255 4440 4600 4830 5106 5180 5290 5520 5550 5957 6216 6348 6440 6475 6808 6900 7400 7406 7728 7770 7935 8050 8400 8464 8510 8880 9200 9660 10212 10360 10580 11100 11109 11914 12075 12432 12696 12765 12880 12950 13225 13616 13800 14800 14812 15540 15870 16100 17020 17871 18515 19320 19425 19573 20424 20720 21160 21275 22200 22218 23828 24150 25392 25530 25900 26450 27600 29624 29785 31080 31740 32200 34040 35742 37030 38640 38850 39146 39675 40848 42320 42550 44400 44436 47656 48300 51060 51800 52900 55545 58719 59248 59570 62160 63480 63825 64400 68080 71484 74060 77700 78292 79350 85100 88872 89355 92575 95312 96600 97865 102120 103600 105800 111090 117438 119140 126960 127650 137011 142968 148120 148925 155400 156584 158700 170200 177744 178710 185150 193200 195730 204240 211600 222180 234876 238280 255300 274022 277725 285936 293595 296240 297850 310800 313168 317400 340400 357420 370300 391460 411033 444360 446775 469752 476560 489325 510600 548044 555450 587190 595700 634800 685055 714840 740600 782920 822066 888720 893550 939504 978650 1021200 1096088 1110900 1174380 1191400 1370110 1429680 1467975 1481200 1565840 1644132 1787100 1957300 2055165 2192176 2221800 2348760 2382800 2740220 2935950 3288264 3425275 3574200 3914600 4110330 4443600 4697520 5480440 5871900 6576528 6850550 7148400 7829200 8220660 10275825 10960880 11743800 13701100 16441320 20551650 23487600 27402200 32882640 41103300 54804400 82206600 164413200
- Sum of all divisors σ(n): 646222528
- Sum of proper divisors (its aliquot sum) s(n): 481809328
- 164413200 is an abundant number, because the sum of its proper divisors (481809328) is greater than itself. Its abundance is 317396128
Bases of 164413200
- Binary: 10011100110010111111000100002
- Hexadecimal: 0x9CCBF10
- Base-36: 2PVY1C
Squares and roots of 164413200
- 164413200 squared (1644132002) is 27031700334240000
- 164413200 cubed (1644132003) is 4444368353393467968000000
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The
square root of 164413200 is 12822.3710755849 -
The
cube root of 164413200 is 547.8296840497
Scales and comparisons
How big is 164413200?- 164,413,200 seconds is equal to 5 years, 11 weeks, 5 days, 22 hours, 20 minutes.
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To count from 1 to 164,413,200 would take you about seven 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 164413200 cubic inches would be around 45.7 feet tall.
Recreational maths with 164413200
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