10138444800
10,138,444,800 is an even composite number composed of five prime numbers multiplied together.
10138444800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 10138444800:
210 × 3 × 52 × 112 × 1091
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 1091)See below for interesting mathematical facts about the number 10138444800 from the Numbermatics database.
Names of 10138444800
- Cardinal: 10138444800 can be written as Ten billion, one hundred thirty-eight million, four hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.01384448 × 1010
Factors of 10138444800
Divisors of 10138444800
- Number of divisors d(n): 396
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 128 132 150 160 165 176 192 200 220 240 242 256 264 275 300 320 330 352 363 384 400 440 480 484 512 528 550 600 605 640 660 704 726 768 800 825 880 960 968 1024 1056 1091 1100 1200 1210 1280 1320 1408 1452 1536 1600 1650 1760 1815 1920 1936 2112 2182 2200 2400 2420 2560 2640 2816 2904 3025 3072 3200 3273 3300 3520 3630 3840 3872 4224 4364 4400 4800 4840 5120 5280 5455 5632 5808 6050 6400 6546 6600 7040 7260 7680 7744 8448 8728 8800 9075 9600 9680 10560 10910 11264 11616 12001 12100 12800 13092 13200 14080 14520 15360 15488 16365 16896 17456 17600 18150 19200 19360 21120 21820 23232 24002 24200 25600 26184 26400 27275 28160 29040 30976 32730 33792 34912 35200 36003 36300 38400 38720 42240 43640 46464 48004 48400 52368 52800 54550 56320 58080 60005 61952 65460 69824 70400 72006 72600 76800 77440 81825 84480 87280 92928 96008 96800 104736 105600 109100 116160 120010 123904 130920 132011 139648 140800 144012 145200 154880 163650 168960 174560 180015 185856 192016 193600 209472 211200 218200 232320 240020 261840 264022 279296 281600 288024 290400 300025 309760 327300 349120 360030 371712 384032 387200 396033 418944 422400 436400 464640 480040 523680 528044 558592 576048 580800 600050 619520 654600 660055 698240 720060 768064 774400 792066 837888 844800 872800 900075 929280 960080 1047360 1056088 1117184 1152096 1161600 1200100 1309200 1320110 1396480 1440120 1536128 1548800 1584132 1675776 1745600 1800150 1858560 1920160 1980165 2094720 2112176 2304192 2323200 2400200 2618400 2640220 2792960 2880240 3072256 3097600 3168264 3300275 3351552 3491200 3600300 3840320 3960330 4189440 4224352 4608384 4646400 4800400 5236800 5280440 5585920 5760480 6144512 6336528 6600550 6982400 7200600 7680640 7920660 8378880 8448704 9216768 9292800 9600800 9900825 10473600 10560880 11520960 12289024 12673056 13201100 13964800 14401200 15361280 15841320 16757760 16897408 18433536 19201600 19801650 20947200 21121760 23041920 25346112 26402200 27929600 28802400 30722560 31682640 33794816 36867072 38403200 39603300 41894400 42243520 46083840 50692224 52804400 57604800 61445120 63365280 67589632 76806400 79206600 83788800 84487040 92167680 101384448 105608800 115209600 126730560 135179264 153612800 158413200 168974080 184335360 202768896 211217600 230419200 253461120 307225600 316826400 337948160 405537792 422435200 460838400 506922240 633652800 675896320 844870400 921676800 1013844480 1267305600 1689740800 2027688960 2534611200 3379481600 5069222400 10138444800
- Sum of all divisors σ(n): 36864963408
- Sum of proper divisors (its aliquot sum) s(n): 26726518608
- 10138444800 is an abundant number, because the sum of its proper divisors (26726518608) is greater than itself. Its abundance is 16588073808
Bases of 10138444800
- Binary: 10010111000100110001100100000000002
- Hexadecimal: 0x25C4C6400
- Base-36: 4NO622O
Squares and roots of 10138444800
- 10138444800 squared (101384448002) is 102788062962647040000
- 10138444800 cubed (101384448003) is 1042111102445721476923392000000
-
The
square root of 10138444800 is 100689.8445723301 -
The
cube root of 10138444800 is 2164.3315001759
Scales and comparisons
How big is 10138444800?- 10,138,444,800 seconds is equal to 322 years, 19 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 10,138,444,800 would take you about six hundred forty-four 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 10138444800 cubic inches would be around 180.4 feet tall.
Recreational maths with 10138444800
- 10138444800 backwards is 00844483101
- 10138444800 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10138444800's digits is 33
- More coming soon!
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