10138093680
10,138,093,680 is an even composite number composed of seven prime numbers multiplied together.
10138093680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 10138093680:
24 × 3 × 5 × 11 × 132 × 31 × 733
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 13 × 31 × 733)See below for interesting mathematical facts about the number 10138093680 from the Numbermatics database.
Names of 10138093680
- Cardinal: 10138093680 can be written as Ten billion, one hundred thirty-eight million, ninety-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.013809368 × 1010
Factors of 10138093680
Divisors of 10138093680
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 31 33 39 40 44 48 52 55 60 62 65 66 78 80 88 93 104 110 120 124 130 132 143 155 156 165 169 176 186 195 208 220 240 248 260 264 286 310 312 330 338 341 372 390 403 429 440 465 496 507 520 528 572 620 624 660 676 682 715 733 744 780 806 845 858 880 930 1014 1023 1040 1144 1209 1240 1320 1352 1364 1430 1466 1488 1560 1612 1690 1705 1716 1859 1860 2015 2028 2046 2145 2199 2288 2418 2480 2535 2640 2704 2728 2860 2932 3120 3224 3380 3410 3432 3665 3718 3720 4030 4056 4092 4290 4398 4433 4836 5070 5115 5239 5456 5577 5720 5864 6045 6448 6760 6820 6864 7330 7436 7440 8060 8063 8112 8184 8580 8796 8866 9295 9529 9672 10140 10230 10478 10995 11154 11440 11728 12090 13299 13520 13640 14660 14872 15717 16120 16126 16368 17160 17592 17732 18590 19058 19344 20280 20460 20956 21990 22165 22308 22723 24180 24189 26195 26598 27280 27885 28587 29320 29744 31434 32240 32252 34320 35184 35464 37180 38116 40315 40560 40920 41912 43980 44330 44616 45446 47645 48360 48378 52390 53196 55770 57174 57629 58640 62868 64504 66495 68169 70928 74360 76232 78585 80630 81840 83824 87960 88660 89232 90892 95290 96720 96756 104780 104819 106392 111540 113615 114348 115258 120945 123877 125736 129008 132990 136338 142935 148720 152464 157170 161260 172887 175920 177320 181784 190580 193512 209560 209638 212784 223080 227230 228696 230516 241890 247754 249953 251472 265980 272676 285870 288145 295399 314340 314457 322520 340845 345774 354640 363568 371631 381160 387024 419120 419276 446160 454460 457392 461032 483780 495508 499906 524095 531960 545352 571740 576290 590798 619385 628680 628914 645040 681690 691548 743262 749859 762320 838552 864435 886197 908920 922064 967560 991016 999812 1048190 1063920 1090704 1143480 1152580 1181596 1238770 1249765 1257360 1257828 1362647 1363380 1383096 1476995 1486524 1499718 1572285 1677104 1728870 1772394 1817840 1858155 1935120 1982032 1999624 2096380 2286960 2305160 2363192 2477540 2499530 2515656 2725294 2726760 2766192 2953990 2973048 2999436 3144570 3249389 3457740 3544788 3716310 3749295 3840187 3999248 4087941 4192760 4430985 4610320 4726384 4955080 4999060 5031312 5450588 5453520 5907980 5946096 5998872 6289140 6498778 6813235 6915480 7089576 7432620 7498590 7680374 8175882 8385520 8861970 9748167 9910160 9998120 10901176 11520561 11815960 11997744 12578280 12997556 13626470 13830960 14179152 14865240 14997180 15360748 16246945 16351764 17723940 19200935 19496334 19996240 20439705 21802352 23041122 23631920 25156560 25995112 27252940 29730480 29994360 30721496 32493890 32703528 35447880 38401870 38992668 40879410 42242057 46082244 48740835 51990224 54505880 57602805 59988720 61442992 64987780 65407056 70895760 76803740 77985336 81758820 84484114 92164488 97481670 109011760 115205610 126726171 129975560 153607480 155970672 163517640 168968228 184328976 194963340 211210285 230411220 253452342 259951120 307214960 327035280 337936456 389926680 422420570 460822440 506904684 633630855 675872912 779853360 844841140 921644880 1013809368 1267261710 1689682280 2027618736 2534523420 3379364560 5069046840 10138093680
- Sum of all divisors σ(n): 38375258112
- Sum of proper divisors (its aliquot sum) s(n): 28237164432
- 10138093680 is an abundant number, because the sum of its proper divisors (28237164432) is greater than itself. Its abundance is 18099070752
Bases of 10138093680
- Binary: 10010111000100011100001000011100002
- Hexadecimal: 0x25C470870
- Base-36: 4NNYJ5C
Squares and roots of 10138093680
- 10138093680 squared (101380936802) is 102780943464455942400
- 10138093680 cubed (101380936803) is 1042002833361438094283884032000
-
The
square root of 10138093680 is 100688.1009851711 -
The
cube root of 10138093680 is 2164.3065144617
Scales and comparisons
How big is 10138093680?- 10,138,093,680 seconds is equal to 322 years, 18 weeks, 5 days, 1 hour, 8 minutes.
-
To count from 1 to 10,138,093,680 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 10138093680 cubic inches would be around 180.4 feet tall.
Recreational maths with 10138093680
- 10138093680 backwards is 08639083101
- 10138093680 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10138093680's digits is 39
- More coming soon!
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