13640378400
13,640,378,400 is an even composite number composed of six prime numbers multiplied together.
13640378400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13640378400:
25 × 33 × 52 × 112 × 17 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 307)See below for interesting mathematical facts about the number 13640378400 from the Numbermatics database.
Names of 13640378400
- Cardinal: 13640378400 can be written as Thirteen billion, six hundred forty million, three hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.36403784 × 1010
Factors of 13640378400
Divisors of 13640378400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 66 68 72 75 80 85 88 90 96 99 100 102 108 110 120 121 132 135 136 144 150 153 160 165 170 176 180 187 198 200 204 216 220 225 240 242 255 264 270 272 275 288 297 300 306 307 330 340 352 360 363 374 396 400 408 425 432 440 450 459 480 484 495 510 528 540 544 550 561 594 600 605 612 614 660 675 680 720 726 748 765 792 800 816 825 850 864 880 900 918 921 935 968 990 1020 1056 1080 1089 1100 1122 1188 1200 1210 1224 1228 1275 1320 1350 1360 1440 1452 1485 1496 1530 1535 1584 1632 1650 1683 1700 1760 1800 1815 1836 1842 1870 1936 1980 2040 2057 2160 2178 2200 2244 2295 2376 2400 2420 2448 2456 2475 2550 2640 2700 2720 2763 2805 2904 2970 2992 3025 3060 3070 3168 3267 3300 3366 3377 3400 3600 3630 3672 3684 3740 3825 3872 3960 4080 4114 4320 4356 4400 4488 4590 4605 4675 4752 4840 4896 4912 4950 5049 5100 5219 5280 5400 5445 5526 5610 5808 5940 5984 6050 6120 6140 6171 6534 6600 6732 6754 6800 7200 7260 7344 7368 7425 7480 7650 7675 7920 8160 8228 8289 8415 8712 8800 8976 9075 9180 9210 9350 9504 9680 9824 9900 10098 10131 10200 10285 10438 10800 10890 11052 11220 11475 11616 11880 12100 12240 12280 12342 13068 13200 13464 13508 13600 13815 14025 14520 14688 14736 14850 14960 15300 15350 15657 15840 16335 16456 16578 16830 16885 17424 17952 18150 18360 18420 18513 18700 19360 19800 20196 20262 20400 20570 20876 21600 21780 22104 22440 22950 23025 23760 24200 24480 24560 24684 25245 26095 26136 26400 26928 27016 27225 27630 28050 29040 29472 29700 29920 30393 30600 30700 30855 31314 32670 32912 33156 33660 33770 34848 36300 36720 36840 37026 37147 37400 39600 40392 40524 40800 41140 41445 41752 42075 43560 44208 44880 45900 46050 46971 47520 48400 49120 49368 50490 50655 51425 52190 52272 53856 54032 54450 55260 55539 56100 57409 58080 59400 60786 61200 61400 61710 62628 65340 65824 66312 67320 67540 69075 72600 73440 73680 74052 74294 74800 78285 79200 80784 81048 81675 82280 82890 83504 84150 84425 87120 88416 89760 91179 91800 92100 92565 93942 96800 98736 100980 101310 102850 104380 104544 108064 108900 110520 111078 111441 112200 114818 118800 121572 122400 122800 123420 125256 126225 130475 130680 132624 134640 135080 138150 140913 145200 147360 148104 148588 149600 151965 154275 156570 161568 162096 163350 164560 165780 167008 168300 168850 172227 174240 182358 183600 184200 185130 185735 187884 197472 201960 202620 205700 207225 208760 217800 221040 222156 222882 224400 229636 234855 237600 243144 245600 246840 250512 252450 253275 260950 261360 265248 269280 270160 276300 277695 281826 287045 290400 296208 297176 303930 308550 313140 324192 326700 329120 331560 334323 336600 337700 344454 364716 367200 368400 370260 371470 375768 391425 403920 405240 411400 414450 417520 435600 442080 444312 445764 448800 455895 459272 462825 469710 486288 493680 501024 504900 506550 516681 521900 522720 540320 552600 555390 557205 563652 574090 592416 594352 607860 617100 626280 631499 653400 663120 668646 673200 675400 688908 704565 729432 736800 740520 742940 751536 759825 782850 807840 810480 822800 828900 835040 861135 871200 888624 891528 911790 918544 925650 928675 939420 972576 987360 1002969 1009800 1013100 1033362 1043800 1105200 1110780 1114410 1127304 1148180 1174275 1188704 1215720 1234200 1252560 1262998 1306800 1326240 1337292 1346400 1350800 1377816 1388475 1409130 1435225 1458864 1481040 1485880 1503072 1519650 1550043 1565700 1620960 1645600 1657800 1671615 1722270 1777248 1783056 1823580 1837088 1851300 1857350 1878840 1894497 2005938 2019600 2026200 2066724 2087600 2210400 2221560 2228820 2254608 2279475 2296360 2348550 2431440 2468400 2505120 2525996 2583405 2613600 2674584 2701600 2755632 2776950 2786025 2818260 2870450 2917728 2962080 2971760 3039300 3100086 3131400 3157495 3315600 3343230 3444540 3522825 3566112 3647160 3702600 3714700 3757680 3788994 4011876 4039200 4052400 4133448 4175200 4305675 4443120 4457640 4509216 4558950 4592720 4697100 4862880 4936800 5014845 5051992 5166810 5349168 5511264 5553900 5572050 5636520 5683491 5740900 5943520 6078600 6200172 6262800 6314990 6631200 6686460 6889080 7045650 7294320 7405200 7429400 7515360 7577988 7750215 8023752 8104800 8266896 8358075 8611350 8886240 8915280 9117900 9185440 9394200 9472485 10029690 10103984 10333620 10698336 11107800 11144100 11273040 11366982 11481800 12157200 12400344 12525600 12629980 12917025 13372920 13778160 14091300 14588640 14810400 14858800 15155976 15500430 15787475 16047504 16533792 16716150 17050473 17222700 17830560 18235800 18788400 18944970 20059380 20207968 20667240 22215600 22288200 22546080 22733964 22963600 24314400 24800688 25074225 25259960 25834050 26745840 27556320 28182600 28417455 29717600 30311952 31000860 31574950 32095008 33432300 34100946 34445400 36471600 37576800 37889940 38751075 40118760 41334480 44431200 44576400 45467928 45927200 47362425 49601376 50148450 50519920 51668100 53491680 56365200 56834910 60623904 62001720 63149900 66864600 68201892 68890800 72943200 75779880 77502150 80237520 82668960 85252365 89152800 90935856 94724850 100296900 101039840 103336200 112730400 113669820 124003440 126299800 133729200 136403784 137781600 142087275 151559760 155004300 160475040 170504730 181871712 189449700 200593800 206672400 227339640 248006880 252599600 267458400 272807568 284174550 303119520 310008600 341009460 378899400 401187600 413344800 426261825 454679280 505199200 545615136 568349100 620017200 682018920 757798800 802375200 852523650 909358560 1136698200 1240034400 1364037840 1515597600 1705047300 2273396400 2728075680 3410094600 4546792800 6820189200 13640378400
- Sum of all divisors σ(n): 57601938240
- Sum of proper divisors (its aliquot sum) s(n): 43961559840
- 13640378400 is an abundant number, because the sum of its proper divisors (43961559840) is greater than itself. Its abundance is 30321181440
Bases of 13640378400
- Binary: 11001011010000011110101000001000002
- Hexadecimal: 0x32D07A820
- Base-36: 69L4NC0
Squares and roots of 13640378400
- 13640378400 squared (136403784002) is 186059922895186560000
- 13640378400 cubed (136403784003) is 2537927753365168216994304000000
-
The
square root of 13640378400 is 116792.0305500337 -
The
cube root of 13640378400 is 2389.3263508773
Scales and comparisons
How big is 13640378400?- 13,640,378,400 seconds is equal to 433 years, 37 weeks, 3 days, 18 hours.
-
To count from 1 to 13,640,378,400 would take you about eight hundred sixty-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 13640378400 cubic inches would be around 199.1 feet tall.
Recreational maths with 13640378400
- 13640378400 backwards is 00487304631
- 13640378400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13640378400's digits is 36
- More coming soon!
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