4146401664
4,146,401,664 is an even composite number composed of five prime numbers multiplied together.
4146401664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 4146401664:
27 × 34 × 47 × 67 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 47 × 67 × 127)See below for interesting mathematical facts about the number 4146401664 from the Numbermatics database.
Names of 4146401664
- Cardinal: 4146401664 can be written as Four billion, one hundred forty-six million, four hundred one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.146401664 × 109
Factors of 4146401664
Divisors of 4146401664
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 67 72 81 94 96 108 127 128 134 141 144 162 188 192 201 216 254 268 282 288 324 376 381 384 402 423 432 508 536 564 576 603 648 752 762 804 846 864 1016 1072 1128 1143 1152 1206 1269 1296 1504 1524 1608 1692 1728 1809 2032 2144 2256 2286 2412 2538 2592 3008 3048 3149 3216 3384 3429 3456 3618 3807 4064 4288 4512 4572 4824 5076 5184 5427 5969 6016 6096 6298 6432 6768 6858 7236 7614 8128 8509 8576 9024 9144 9447 9648 10152 10287 10368 10854 11938 12192 12596 12864 13536 13716 14472 15228 16256 17018 17907 18048 18288 18894 19296 20304 20574 21708 23876 24384 25192 25527 25728 27072 27432 28341 28944 30456 34036 35814 36576 37788 38592 40608 41148 43416 47752 48768 50384 51054 53721 54144 54864 56682 57888 60912 68072 71628 73152 75576 76581 77184 81216 82296 85023 86832 95504 100768 102108 107442 109728 113364 115776 121824 136144 143256 146304 151152 153162 161163 162432 164592 170046 173664 191008 201536 204216 214884 219456 226728 229743 231552 243648 255069 272288 286512 302304 306324 322326 329184 340092 347328 382016 399923 403072 408432 429768 438912 453456 459486 483489 487296 510138 544576 573024 604608 612648 644652 658368 680184 689229 694656 764032 799846 816864 859536 906912 918972 966978 1020276 1089152 1146048 1199769 1209216 1225296 1289304 1316736 1360368 1378458 1599692 1633728 1719072 1813824 1837944 1933956 2040552 2292096 2399538 2450592 2578608 2720736 2756916 3199384 3267456 3438144 3599307 3627648 3675888 3867912 4081104 4799076 4901184 5157216 5441472 5513832 6398768 6876288 7198614 7351776 7735824 8162208 9598152 9802368 10314432 10797921 10882944 11027664 12797536 14397228 14703552 15471648 16324416 19196304 20628864 21595842 22055328 25595072 28794456 29407104 30943296 32393763 32648832 38392608 43191684 44110656 51190144 57588912 61886592 64787526 76785216 86383368 88221312 115177824 129575052 153570432 172766736 230355648 259150104 345533472 460711296 518300208 691066944 1036600416 1382133888 2073200832 4146401664
- Sum of all divisors σ(n): 12890972160
- Sum of proper divisors (its aliquot sum) s(n): 8744570496
- 4146401664 is an abundant number, because the sum of its proper divisors (8744570496) is greater than itself. Its abundance is 4598168832
Bases of 4146401664
- Binary: 111101110010010100010001100000002
- Hexadecimal: 0xF7251180
- Base-36: 1WKNS00
Squares and roots of 4146401664
- 4146401664 squared (41464016642) is 17192646759221968896
- 4146401664 cubed (41464016643) is 71287619131002179175730642944
-
The
square root of 4146401664 is 64392.5590732345 -
The
cube root of 4146401664 is 1606.5359809071
Scales and comparisons
How big is 4146401664?- 4,146,401,664 seconds is equal to 131 years, 43 weeks, 5 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 4,146,401,664 would take you about two hundred sixty-three 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 4146401664 cubic inches would be around 133.9 feet tall.
Recreational maths with 4146401664
- 4146401664 backwards is 4661046414
- 4146401664 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 4146401664's digits is 36
- More coming soon!
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