214004160
214,004,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 214004160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
214004160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 214004160:
26 × 33 × 5 × 17 × 31 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 31 × 47)See below for interesting mathematical facts about the number 214004160 from the Numbermatics database.
Names of 214004160
- Cardinal: 214004160 can be written as Two hundred fourteen million, four thousand, one hundred sixty.
Scientific notation
- Scientific notation: 2.1400416 × 108
Factors of 214004160
Divisors of 214004160
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 31 32 34 36 40 45 47 48 51 54 60 62 64 68 72 80 85 90 93 94 96 102 108 120 124 135 136 141 144 153 155 160 170 180 186 188 192 204 216 235 240 248 255 270 272 279 282 288 306 310 320 340 360 372 376 408 423 432 459 465 470 480 496 510 527 540 544 558 564 576 612 620 680 705 720 744 752 765 799 816 837 846 864 918 930 940 960 992 1020 1054 1080 1088 1116 1128 1224 1240 1269 1360 1395 1410 1440 1457 1488 1504 1530 1581 1598 1632 1674 1692 1728 1836 1860 1880 1984 2040 2108 2115 2160 2232 2256 2295 2397 2448 2480 2538 2635 2720 2790 2820 2880 2914 2976 3008 3060 3162 3196 3264 3348 3384 3672 3720 3760 3995 4080 4185 4216 4230 4320 4371 4464 4512 4590 4743 4794 4896 4960 5076 5270 5440 5580 5640 5828 5952 6120 6324 6345 6392 6696 6768 7191 7285 7344 7440 7520 7905 7990 8160 8370 8432 8460 8640 8742 8928 9024 9180 9486 9588 9792 9920 10152 10540 11160 11280 11656 11985 12240 12648 12690 12784 13113 13392 13536 14229 14382 14570 14688 14880 15040 15810 15980 16320 16740 16864 16920 17484 17856 18360 18972 19176 20304 21080 21573 21855 22320 22560 23312 23715 23970 24480 24769 25296 25380 25568 26226 26784 27072 28458 28764 29140 29376 29760 31620 31960 33480 33728 33840 34968 35955 36720 37944 38352 39339 40608 42160 43146 43710 44640 45120 46624 47430 47940 48960 49538 50592 50760 51136 52452 53568 56916 57528 58280 63240 63920 65565 66960 67680 69936 71145 71910 73440 74307 75888 76704 78678 81216 84320 86292 87420 89280 93248 94860 95880 99076 101184 101520 104904 107865 113832 115056 116560 123845 126480 127840 131130 133920 135360 139872 142290 143820 146880 148614 151776 153408 157356 168640 172584 174840 189720 191760 196695 198152 203040 209808 215730 222921 227664 230112 233120 247690 252960 255680 262260 267840 279744 284580 287640 297228 303552 314712 345168 349680 371535 379440 383520 393390 396304 406080 419616 431460 445842 455328 460224 466240 495380 505920 524520 569160 575280 594456 629424 668763 690336 699360 743070 758880 767040 786780 792608 839232 862920 891684 910656 990760 1049040 1114605 1138320 1150560 1188912 1258848 1337526 1380672 1398720 1486140 1517760 1573560 1585216 1725840 1783368 1981520 2098080 2229210 2276640 2301120 2377824 2517696 2675052 2972280 3147120 3343815 3451680 3566736 3963040 4196160 4458420 4553280 4755648 5350104 5944560 6294240 6687630 6903360 7133472 7926080 8916840 10700208 11889120 12588480 13375260 14266944 17833680 21400416 23778240 26750520 35667360 42800832 53501040 71334720 107002080 214004160
- Sum of all divisors σ(n): 842711040
- Sum of proper divisors (its aliquot sum) s(n): 628706880
- 214004160 is an abundant number, because the sum of its proper divisors (628706880) is greater than itself. Its abundance is 414702720
Bases of 214004160
- Binary: 11001100000101110001110000002
- Hexadecimal: 0xCC171C0
- Base-36: 3JEUO0
Squares and roots of 214004160
- 214004160 squared (2140041602) is 45797780497305600
- 214004160 cubed (2140041603) is 9800915545190267191296000
-
The
square root of 214004160 is 14628.8810235097 -
The
cube root of 214004160 is 598.1462787607
Scales and comparisons
How big is 214004160?- 214,004,160 seconds is equal to 6 years, 41 weeks, 5 days, 21 hours, 36 minutes.
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To count from 1 to 214,004,160 would take you about ten 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 214004160 cubic inches would be around 49.8 feet tall.
Recreational maths with 214004160
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