2004869664
2,004,869,664 is an even composite number composed of six prime numbers multiplied together.
2004869664 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 2004869664:
25 × 33 × 7 × 19 × 73 × 239
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 73 × 239)See below for interesting mathematical facts about the number 2004869664 from the Numbermatics database.
Names of 2004869664
- Cardinal: 2004869664 can be written as Two billion, four million, eight hundred sixty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 2.004869664 × 109
Factors of 2004869664
Divisors of 2004869664
- 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 27 28 32 36 38 42 48 54 56 57 63 72 73 76 84 96 108 112 114 126 133 144 146 152 168 171 189 216 219 224 228 239 252 266 288 292 304 336 342 378 399 432 438 456 478 504 511 513 532 584 608 657 672 684 717 756 798 864 876 912 956 1008 1022 1026 1064 1168 1197 1314 1368 1387 1434 1512 1533 1596 1673 1752 1824 1912 1971 2016 2044 2052 2128 2151 2336 2394 2628 2736 2774 2868 3024 3066 3192 3346 3504 3591 3824 3942 4088 4104 4161 4256 4302 4541 4599 4788 5019 5256 5472 5548 5736 6048 6132 6384 6453 6692 7008 7182 7648 7884 8176 8208 8322 8604 9082 9198 9576 9709 10038 10512 11096 11472 12264 12483 12768 12906 13384 13623 13797 14364 15057 15768 16352 16416 16644 17208 17447 18164 18396 19152 19418 20076 21024 22192 22944 24528 24966 25812 26768 27246 27594 28728 29127 30114 31536 31787 33288 34416 34894 36328 36792 37449 38304 38836 40152 40869 44384 45171 49056 49932 51624 52341 53536 54492 55188 57456 58254 60228 63072 63574 66576 68832 69788 72656 73584 74898 77672 80304 81738 87381 90342 95361 99864 103248 104682 108984 110376 114912 116508 120456 122129 122607 127148 133152 139576 145312 147168 149796 155344 157023 160608 163476 174762 180684 190722 199728 206496 209364 217968 220752 233016 240912 244258 245214 254296 262143 279152 286083 299592 310688 314046 326952 331493 349524 361368 366387 381444 399456 418728 435936 441504 466032 471069 481824 488516 490428 508592 524286 558304 572166 599184 628092 653904 662986 699048 722736 732774 762888 837456 858249 932064 942138 977032 980856 994479 1017184 1048572 1099161 1144332 1198368 1256184 1307808 1325972 1398096 1445472 1465548 1525776 1674912 1716498 1884276 1954064 1961712 1988958 2097144 2198322 2288664 2320451 2512368 2651944 2796192 2931096 2983437 3051552 3297483 3432996 3768552 3908128 3923424 3977916 4194288 4396644 4577328 4640902 5024736 5303888 5862192 5966874 6594966 6865992 6961353 7537104 7955832 8388576 8793288 8950311 9154656 9281804 10607776 11724384 11933748 13189932 13731984 13922706 15074208 15911664 17586576 17900622 18563608 20884059 23867496 26379864 27463968 27845412 31823328 35173152 35801244 37127216 41768118 47734992 52759728 55690824 62652177 71602488 74254432 83536236 95469984 105519456 111381648 125304354 143204976 167072472 222763296 250608708 286409952 334144944 501217416 668289888 1002434832 2004869664
- Sum of all divisors σ(n): 7160832000
- Sum of proper divisors (its aliquot sum) s(n): 5155962336
- 2004869664 is an abundant number, because the sum of its proper divisors (5155962336) is greater than itself. Its abundance is 3151092672
Bases of 2004869664
- Binary: 11101110111111111100010001000002
- Hexadecimal: 0x777FE220
- Base-36: X5NBC0
Squares and roots of 2004869664
- 2004869664 squared (20048696642) is 4019502369627472896
- 2004869664 cubed (20048696643) is 8058578365242235390172626944
-
The
square root of 2004869664 is 44775.7709481367 -
The
cube root of 2004869664 is 1260.9427864539
Scales and comparisons
How big is 2004869664?- 2,004,869,664 seconds is equal to 63 years, 38 weeks, 6 days, 12 hours, 14 minutes, 24 seconds.
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To count from 1 to 2,004,869,664 would take you about one hundred twenty-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 2004869664 cubic inches would be around 105.1 feet tall.
Recreational maths with 2004869664
- 2004869664 backwards is 4669684002
- The number of decimal digits it has is: 10
- The sum of 2004869664's digits is 45
- More coming soon!
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