164400768
164,400,768 is an even composite number composed of six prime numbers multiplied together.
164400768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 164400768:
27 × 32 × 7 × 19 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 29 × 37)See below for interesting mathematical facts about the number 164400768 from the Numbermatics database.
Names of 164400768
- Cardinal: 164400768 can be written as One hundred sixty-four million, four hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.64400768 × 108
Factors of 164400768
Divisors of 164400768
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 29 32 36 37 38 42 48 56 57 58 63 64 72 74 76 84 87 96 111 112 114 116 126 128 133 144 148 152 168 171 174 192 203 222 224 228 232 252 259 261 266 288 296 304 333 336 342 348 384 399 406 444 448 456 464 504 518 522 532 551 576 592 608 609 666 672 684 696 703 777 798 812 888 896 912 928 1008 1036 1044 1064 1073 1102 1152 1184 1197 1216 1218 1332 1344 1368 1392 1406 1554 1596 1624 1653 1776 1824 1827 1856 2016 2072 2088 2109 2128 2146 2204 2331 2368 2394 2432 2436 2664 2688 2736 2784 2812 3108 3192 3219 3248 3306 3552 3648 3654 3712 3857 4032 4144 4176 4218 4256 4292 4408 4662 4736 4788 4872 4921 4959 5328 5472 5568 5624 6216 6327 6384 6438 6496 6612 7104 7296 7308 7511 7714 8064 8288 8352 8436 8512 8584 8816 9324 9576 9657 9744 9842 9918 10656 10944 11136 11248 11571 12432 12654 12768 12876 12992 13224 14208 14616 14763 15022 15428 16576 16704 16872 17024 17168 17632 18648 19152 19314 19488 19684 19836 20387 21312 21888 22496 22533 23142 24864 25308 25536 25752 25984 26448 29232 29526 30044 30856 33152 33408 33744 34336 34713 35264 37296 38304 38628 38976 39368 39672 40774 42624 44289 44992 45066 46284 49728 50616 51072 51504 52896 58464 59052 60088 61161 61712 67488 67599 68672 69426 70528 74592 76608 77256 77952 78736 79344 81548 88578 89984 90132 92568 99456 101232 103008 105792 116928 118104 120176 122322 123424 134976 135198 137344 138852 142709 149184 153216 154512 157472 158688 163096 177156 180264 183483 185136 202464 206016 211584 233856 236208 240352 244644 246848 269952 270396 277704 285418 298368 309024 314944 317376 326192 354312 360528 366966 370272 404928 412032 428127 472416 480704 489288 493696 540792 555408 570836 618048 629888 634752 652384 708624 721056 733932 740544 809856 856254 944832 961408 978576 1081584 1110816 1141672 1236096 1284381 1304768 1417248 1442112 1467864 1481088 1712508 1889664 1957152 2163168 2221632 2283344 2568762 2609536 2834496 2884224 2935728 3425016 3914304 4326336 4443264 4566688 5137524 5668992 5871456 6850032 7828608 8652672 9133376 10275048 11742912 13700064 18266752 20550096 23485824 27400128 41100192 54800256 82200384 164400768
- Sum of all divisors σ(n): 604656000
- Sum of proper divisors (its aliquot sum) s(n): 440255232
- 164400768 is an abundant number, because the sum of its proper divisors (440255232) is greater than itself. Its abundance is 275854464
Bases of 164400768
- Binary: 10011100110010001110100000002
- Hexadecimal: 0x9CC8E80
- Base-36: 2PVOG0
Squares and roots of 164400768
- 164400768 squared (1644007682) is 27027612518989824
- 164400768 cubed (1644007683) is 4443360255328341649784832
-
The
square root of 164400768 is 12821.8862886863 -
The
cube root of 164400768 is 547.8158757701
Scales and comparisons
How big is 164400768?- 164,400,768 seconds is equal to 5 years, 11 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 164,400,768 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 164400768 cubic inches would be around 45.7 feet tall.
Recreational maths with 164400768
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