13689404400
13,689,404,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13689404400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
13689404400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13689404400:
24 × 3 × 52 × 73 × 79 × 421
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 79 × 421)See below for interesting mathematical facts about the number 13689404400 from the Numbermatics database.
Names of 13689404400
- Cardinal: 13689404400 can be written as Thirteen billion, six hundred eighty-nine million, four hundred four thousand, four hundred.
Scientific notation
- Scientific notation: 1.36894044 × 1010
Factors of 13689404400
Divisors of 13689404400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 49 50 56 60 70 75 79 80 84 98 100 105 112 120 140 147 150 158 168 175 196 200 210 237 240 245 280 294 300 316 336 343 350 392 395 400 420 421 474 490 525 553 560 588 600 632 686 700 735 784 790 840 842 948 980 1029 1050 1106 1176 1185 1200 1225 1263 1264 1372 1400 1470 1580 1659 1680 1684 1715 1896 1960 1975 2058 2100 2105 2212 2352 2370 2450 2526 2744 2765 2800 2940 2947 3160 3318 3368 3430 3675 3792 3871 3920 3950 4116 4200 4210 4424 4740 4900 5052 5145 5488 5530 5880 5894 5925 6315 6320 6636 6736 6860 7350 7742 7900 8232 8295 8400 8420 8575 8841 8848 9480 9800 10104 10290 10525 11060 11613 11760 11788 11850 12630 13272 13720 13825 14700 14735 15484 15800 16464 16590 16840 17150 17682 18960 19355 19600 20208 20580 20629 21050 22120 23226 23576 23700 25260 25725 26544 27097 27440 27650 29400 29470 30968 31575 31600 33180 33259 33680 34300 35364 38710 41160 41258 41475 42100 44205 44240 46452 47152 47400 50520 51450 54194 55300 58065 58800 58940 61887 61936 63150 66360 66518 68600 70728 73675 77420 81291 82320 82516 82950 84200 88410 92904 94800 96775 99777 101040 102900 103145 108388 110600 116130 117880 123774 126300 132720 133036 135485 137200 141456 144403 147350 154840 162582 165032 165900 166295 168400 176820 185808 193550 199554 205800 206290 216776 221025 221200 232260 232813 235760 247548 252600 266072 270970 288806 290325 294700 309435 309680 325164 330064 331800 332590 353640 387100 399108 406455 411600 412580 433209 433552 442050 464520 465626 495096 498885 505200 515725 532144 541940 577612 580650 589400 618870 650328 663600 665180 677425 698439 707280 722015 774200 798216 812910 825160 831475 866418 884100 929040 931252 990192 997770 1031450 1083880 1155224 1161300 1164065 1178800 1237740 1300656 1330360 1354850 1396878 1444030 1547175 1548400 1596432 1625820 1629691 1650320 1662950 1732836 1768200 1862504 1995540 2032275 2062900 2166045 2167760 2310448 2322600 2328130 2475480 2494425 2660720 2709700 2793756 2888060 3094350 3251640 3259382 3325900 3465672 3492195 3536400 3610075 3725008 3991080 4064550 4125800 4332090 4645200 4656260 4889073 4950960 4988850 5419400 5587512 5776120 5820325 6188700 6503280 6518764 6651800 6931344 6984390 7220150 7982160 8129100 8148455 8251600 8664180 9312520 9778146 9977700 10830225 10838800 11175024 11407837 11552240 11640650 12377400 13037528 13303600 13968780 14440300 16258200 16296910 17328360 17460975 18625040 19556292 19955400 21660450 22815674 23281300 24445365 24754800 26075056 27937560 28880600 32516400 32593820 34223511 34656720 34921950 39112584 39910800 40742275 43320900 45631348 46562600 48890730 55875120 57039185 57761200 65187640 68447022 69843900 78225168 81484550 86641800 91262696 93125200 97781460 114078370 122226825 130375280 136894044 139687800 162969100 171117555 173283600 182525392 195562920 228156740 244453650 273788088 279375600 285195925 325938200 342235110 391125840 456313480 488907300 547576176 570391850 651876400 684470220 855587775 912626960 977814600 1140783700 1368940440 1711175550 1955629200 2281567400 2737880880 3422351100 4563134800 6844702200 13689404400
- Sum of all divisors σ(n): 51909376000
- Sum of proper divisors (its aliquot sum) s(n): 38219971600
- 13689404400 is an abundant number, because the sum of its proper divisors (38219971600) is greater than itself. Its abundance is 24530567200
Bases of 13689404400
- Binary: 11001011111111001110111011111100002
- Hexadecimal: 0x32FF3BBF0
- Base-36: 6AEBG1C
Squares and roots of 13689404400
- 13689404400 squared (136894044002) is 187399792826739360000
- 13689404400 cubed (136894044003) is 2565391548481454232437184000000
-
The
square root of 13689404400 is 117001.7281923649 -
The
cube root of 13689404400 is 2392.1854859647
Scales and comparisons
How big is 13689404400?- 13,689,404,400 seconds is equal to 435 years, 14 weeks, 4 days, 4 hours, 20 minutes.
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To count from 1 to 13,689,404,400 would take you about eight hundred seventy 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 13689404400 cubic inches would be around 199.3 feet tall.
Recreational maths with 13689404400
- 13689404400 backwards is 00440498631
- The number of decimal digits it has is: 11
- The sum of 13689404400's digits is 39
- More coming soon!
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