4144294440
4,144,294,440 is an even composite number composed of seven prime numbers multiplied together.
4144294440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 4144294440:
23 × 32 × 5 × 11 × 13 × 192 × 223
(2 × 2 × 2 × 3 × 3 × 5 × 11 × 13 × 19 × 19 × 223)See below for interesting mathematical facts about the number 4144294440 from the Numbermatics database.
Names of 4144294440
- Cardinal: 4144294440 can be written as Four billion, one hundred forty-four million, two hundred ninety-four thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.14429444 × 109
Factors of 4144294440
Divisors of 4144294440
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 19 20 22 24 26 30 33 36 38 39 40 44 45 52 55 57 60 65 66 72 76 78 88 90 95 99 104 110 114 117 120 130 132 143 152 156 165 171 180 190 195 198 209 220 223 228 234 247 260 264 285 286 312 330 342 360 361 380 390 396 418 429 440 446 456 468 494 495 520 570 572 585 627 660 669 684 715 722 741 760 780 792 836 855 858 892 936 988 990 1045 1083 1115 1140 1144 1170 1235 1254 1287 1320 1338 1368 1430 1444 1482 1560 1672 1710 1716 1784 1805 1881 1976 1980 2007 2090 2145 2166 2223 2230 2280 2340 2453 2470 2508 2574 2676 2717 2860 2888 2899 2964 3135 3249 3345 3420 3432 3610 3705 3762 3960 3971 4014 4180 4237 4290 4332 4446 4460 4680 4693 4906 4940 5016 5148 5352 5415 5434 5720 5798 5928 6270 6435 6498 6690 6840 7220 7359 7410 7524 7942 8028 8151 8360 8474 8580 8664 8697 8892 8920 9386 9405 9812 9880 10035 10296 10830 10868 11115 11596 11913 12265 12540 12711 12870 12996 13380 13585 14079 14440 14495 14718 14820 15048 15884 16056 16245 16302 16948 17160 17394 17784 18772 18810 19624 19855 20070 21185 21660 21736 22077 22230 23192 23465 23826 24453 24530 25080 25422 25740 25992 26091 26760 27170 28158 28990 29436 29640 31768 31889 32490 32604 33896 34788 35739 36795 37544 37620 38133 39710 40140 40755 42237 42370 43320 43485 44154 44460 46607 46930 47652 48906 49060 50844 51480 51623 52182 54340 55081 56316 57980 58872 59565 63555 63778 64980 65208 69576 70395 71478 73590 75240 76266 79420 80280 80503 81510 84474 84740 86970 88308 88920 93214 93860 95304 95667 97812 98120 101688 103246 104364 108680 110162 110385 112632 115960 119130 122265 127110 127556 129960 130455 139821 140790 142956 147180 152532 154869 158840 159445 161006 163020 165243 168948 169480 173940 176616 178695 186428 187720 190665 191334 195624 206492 208728 211185 220324 220770 233035 238260 241509 244530 254220 255112 258115 260910 275405 279642 281580 285912 287001 294360 305064 309738 318890 322012 326040 330486 337896 347880 357390 372856 381330 382668 402515 412984 419463 422370 440648 441540 464607 466070 476520 478335 483018 489060 495729 508440 516230 521820 550810 559284 563160 574002 605891 619476 637780 644024 660972 699105 714780 724527 762660 765336 774345 805030 826215 838926 844740 883080 885533 929214 932140 956670 966036 978120 991458 1032460 1043640 1046539 1101620 1118568 1148004 1207545 1211782 1238952 1275560 1321944 1398210 1429560 1435005 1449054 1525320 1548690 1610060 1652430 1677852 1689480 1771066 1817673 1858428 1864280 1913340 1932072 1982916 2064920 2093078 2097315 2203240 2296008 2323035 2415090 2423564 2478645 2656599 2796420 2870010 2898108 3029455 3097380 3139617 3220120 3304860 3355704 3542132 3622635 3635346 3716856 3826680 3965832 4186156 4194630 4427665 4646070 4830180 4847128 4957290 5232695 5313198 5453019 5592840 5740020 5796216 6058910 6194760 6279234 6609720 7084264 7245270 7270692 7969797 8372312 8389260 8855330 9088365 9292140 9418851 9660360 9914580 10465390 10626396 10906038 11480040 11511929 12117820 12558468 13282995 14490540 14541384 15698085 15939594 16778520 17710660 18176730 18584280 18837702 19829160 20930780 21252792 21812076 23023858 24235640 25116936 26565990 27265095 28981080 31396170 31879188 34535787 35421320 36353460 37675404 39848985 41861560 43624152 46047716 47094255 53131980 54530190 57559645 62792340 63758376 69071574 72706920 75350808 79697970 92095432 94188510 103607361 106263960 109060380 115119290 125584680 138143148 159395940 172678935 188377020 207214722 218120760 230238580 276286296 318791880 345357870 376754040 414429444 460477160 518036805 690715740 828858888 1036073610 1381431480 2072147220 4144294440
- Sum of all divisors σ(n): 16775216640
- Sum of proper divisors (its aliquot sum) s(n): 12630922200
- 4144294440 is an abundant number, because the sum of its proper divisors (12630922200) is greater than itself. Its abundance is 8486627760
Bases of 4144294440
- Binary: 111101110000010011101010001010002
- Hexadecimal: 0xF704EA28
- Base-36: 1WJEM20
Squares and roots of 4144294440
- 4144294440 squared (41442944402) is 17175176405414913600
- 4144294440 cubed (41442944403) is 71178988082980212325560384000
-
The
square root of 4144294440 is 64376.1946685263 -
The
cube root of 4144294440 is 1606.2637846677
Scales and comparisons
How big is 4144294440?- 4,144,294,440 seconds is equal to 131 years, 40 weeks, 2 days, 8 hours, 54 minutes.
-
To count from 1 to 4,144,294,440 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 4144294440 cubic inches would be around 133.9 feet tall.
Recreational maths with 4144294440
- 4144294440 backwards is 0444924414
- 4144294440 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 4144294440's digits is 36
- More coming soon!
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