137484541824
137,484,541,824 is an even composite number composed of six prime numbers multiplied together.
What does the number 137484541824 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 512 divisors.
137484541824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 137484541824:
27 × 3 × 73 × 73 × 79 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 73 × 79 × 181)See below for interesting mathematical facts about the number 137484541824 from the Numbermatics database.
Names of 137484541824
- Cardinal: 137484541824 can be written as One hundred thirty-seven billion, four hundred eighty-four million, five hundred forty-one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37484541824 × 1011
Factors of 137484541824
Divisors of 137484541824
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 73 79 84 96 98 112 128 146 147 158 168 181 192 196 219 224 237 292 294 316 336 343 362 384 392 438 448 474 511 543 553 584 588 632 672 686 724 784 876 896 948 1022 1029 1086 1106 1168 1176 1264 1267 1344 1372 1448 1533 1568 1659 1752 1896 2044 2058 2172 2212 2336 2352 2528 2534 2688 2744 2896 3066 3136 3318 3504 3577 3792 3801 3871 4088 4116 4344 4424 4672 4704 5056 5068 5488 5767 5792 6132 6272 6636 7008 7154 7584 7602 7742 8176 8232 8688 8848 8869 9344 9408 10112 10136 10731 10976 11534 11584 11613 12264 13213 13272 14016 14299 14308 15168 15204 15484 16352 16464 17301 17376 17696 17738 18816 20272 21462 21952 23068 23168 23226 24528 25039 26426 26544 26607 27097 28032 28598 28616 30336 30408 30968 32704 32928 34602 34752 35392 35476 39639 40369 40544 42897 42924 43904 46136 46452 49056 50078 52852 53088 53214 54194 57196 57232 60816 61936 62083 65408 65856 69204 69504 70784 70952 75117 79278 80738 81088 81291 85794 85848 92272 92491 92904 98112 100093 100156 105704 106176 106428 108388 114392 114464 121107 121632 123872 124166 131712 138408 141904 150234 158556 161476 162176 162582 171588 171696 184544 184982 185808 186249 196224 200186 200312 211408 212352 212856 216776 228784 228928 242214 243264 247744 248332 276816 277473 282583 283808 300279 300468 317112 322952 325164 343176 343392 369088 369964 371616 372498 400372 400624 422816 425712 433552 457568 457856 484428 486528 495488 496664 553632 554946 565166 567616 600558 600936 634224 645904 647437 650328 686352 686784 700651 738176 739928 743232 744996 800744 801248 845632 847749 851424 867104 915136 968856 993328 1043827 1107264 1109892 1130332 1135232 1201116 1201872 1268448 1291808 1294874 1300656 1372704 1373568 1401302 1479856 1486464 1489992 1601488 1602496 1691264 1695498 1702848 1734208 1830272 1937712 1942311 1978081 1986656 2087654 2101953 2214528 2219784 2260664 2402232 2403744 2536896 2583616 2589748 2601312 2745408 2802604 2959712 2979984 3131481 3202976 3204992 3390996 3405696 3468416 3875424 3884622 3956162 3973312 4175308 4203906 4439568 4521328 4532059 4804464 4807488 4904557 5073792 5167232 5179496 5202624 5490816 5605208 5919424 5934243 5959968 6262962 6405952 6781992 7306789 7750848 7769244 7912324 7946624 8350616 8407812 8879136 9042656 9064118 9608928 9614976 9809114 10358992 10405248 11210416 11838848 11868486 11919936 12525924 12811904 13563984 13596177 14613578 14713671 15501696 15538488 15824648 16701232 16815624 17758272 18085312 18128236 19217856 19618228 20717984 21920367 22420832 23736972 23839872 25051848 27127968 27192354 29227156 29427342 31076976 31649296 33402464 33631248 35516544 36170624 36256472 38435712 39236456 41435968 43840734 44841664 47473944 50103696 51147523 54255936 54384708 58454312 58854684 62153952 63298592 66804928 67262496 72512944 78472912 82871936 87681468 89683328 94947888 100207392 102295046 108511872 108769416 116908624 117709368 124307904 126597184 133609856 134524992 145025888 153442569 156945824 175362936 189895776 200414784 204590092 217538832 233817248 235418736 248615808 253194368 269049984 290051776 306885138 313891648 350725872 358032661 379791552 400829568 409180184 435077664 467634496 470837472 580103552 613770276 627783296 701451744 716065322 759583104 818360368 870155328 935268992 941674944 1074097983 1227540552 1402903488 1432130644 1636720736 1740310656 1883349888 2148195966 2455081104 2805806976 2864261288 3273441472 4296391932 4910162208 5728522576 6546882944 8592783864 9820324416 11457045152 17185567728 19640648832 22914090304 34371135456 45828180608 68742270912 137484541824
- Sum of all divisors σ(n): 439595520000
- Sum of proper divisors (its aliquot sum) s(n): 302110978176
- 137484541824 is an abundant number, because the sum of its proper divisors (302110978176) is greater than itself. Its abundance is 164626436352
Bases of 137484541824
- Binary: 100000000000101011011110011111100000002
- Hexadecimal: 0x2002B79F80
- Base-36: 1R5QQVEO
Squares and roots of 137484541824
- 137484541824 squared (1374845418242) is 18901999240555205246976
- 137484541824 cubed (1374845418243) is 2598732705145328352758776121524224
-
The
square root of 137484541824 is 370789.0799686527 -
The
cube root of 137484541824 is 5161.2071498187
Scales and comparisons
How big is 137484541824?- 137,484,541,824 seconds is equal to 4,371 years, 30 weeks, 2 days, 6 hours, 30 minutes, 24 seconds.
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To count from 1 to 137,484,541,824 would take you about eight thousand, seven hundred forty-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 137484541824 cubic inches would be around 430.1 feet tall.
Recreational maths with 137484541824
- 137484541824 backwards is 428145484731
- The number of decimal digits it has is: 12
- The sum of 137484541824's digits is 51
- More coming soon!
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