137813281320
137,813,281,320 is an even composite number composed of eight prime numbers multiplied together.
137813281320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137813281320:
23 × 3 × 5 × 11 × 13 × 312 × 61 × 137
(2 × 2 × 2 × 3 × 5 × 11 × 13 × 31 × 31 × 61 × 137)See below for interesting mathematical facts about the number 137813281320 from the Numbermatics database.
Names of 137813281320
- Cardinal: 137813281320 can be written as One hundred thirty-seven billion, eight hundred thirteen million, two hundred eighty-one thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3781328132 × 1011
Factors of 137813281320
Divisors of 137813281320
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 31 33 39 40 44 52 55 60 61 62 65 66 78 88 93 104 110 120 122 124 130 132 137 143 155 156 165 183 186 195 220 244 248 260 264 274 286 305 310 312 330 341 366 372 390 403 411 429 440 465 488 520 548 572 610 620 660 671 682 685 715 732 744 780 793 806 822 858 915 930 961 1023 1096 1144 1209 1220 1240 1320 1342 1364 1370 1430 1464 1507 1560 1586 1612 1644 1705 1716 1781 1830 1860 1891 1922 2013 2015 2046 2055 2145 2379 2418 2440 2684 2728 2740 2860 2883 3014 3172 3224 3288 3355 3410 3432 3562 3660 3720 3782 3844 3965 4026 4030 4092 4110 4247 4290 4433 4521 4758 4805 4836 5115 5343 5368 5480 5673 5720 5766 6028 6045 6344 6710 6820 7124 7320 7535 7564 7688 7930 8052 8060 8184 8220 8357 8494 8580 8723 8866 8905 9042 9455 9516 9610 9672 10065 10230 10571 10686 11346 11532 11895 12056 12090 12493 12741 13299 13420 13640 14248 14415 15070 15128 15860 16104 16120 16440 16714 16988 17160 17446 17732 17810 18084 18910 19032 19220 19591 20130 20460 20801 21142 21235 21372 22165 22605 22692 23064 23790 24180 24583 24986 25071 25482 26169 26598 26715 26840 28365 28830 30140 31713 31720 33428 33976 34892 35464 35620 36168 37479 37820 38440 39182 40260 40920 41602 41785 42284 42470 42744 43615 44330 45210 45384 46717 47580 48360 49166 49972 50142 50964 52338 52855 53196 53430 55211 56730 57660 58621 58773 60280 62403 62465 63426 63705 66495 66856 69784 71240 73749 74958 75640 78364 80520 83204 83570 84568 84940 87230 88660 90420 91927 93434 95160 97955 98332 99944 100284 101928 104005 104676 105710 106392 106860 108641 110422 113460 115320 117242 117546 122915 124806 124930 125355 126852 127410 130845 131657 132990 137423 140151 147498 149916 156728 158565 165633 166408 167140 169880 174460 175863 177320 180840 183854 186868 187395 195910 196664 200568 208010 209352 211420 213720 217282 220844 226920 233585 234484 235092 245830 249612 249860 250710 253704 254820 259067 261690 263314 265980 270413 274846 275781 276055 280302 293105 293865 294996 299832 312015 317130 325923 331266 334280 348920 351726 367708 368745 373736 374790 391820 394971 412269 416020 422840 434564 441688 459635 467170 468968 470184 491660 499224 499720 501420 509640 518134 523380 526628 531960 540826 543205 549692 551562 552110 560604 586210 587730 589992 607321 624030 634260 644831 651846 658285 662532 687115 700755 703452 735416 737490 749580 762073 777201 783640 789942 811239 824538 828165 832040 869128 879315 919270 934340 983320 1002840 1036268 1046760 1053256 1081652 1086410 1099384 1103124 1104220 1121208 1172420 1175460 1195051 1214642 1248060 1268520 1289662 1295335 1303692 1316570 1325064 1352065 1374230 1378905 1401510 1406904 1448227 1474980 1499160 1524146 1554402 1579884 1622478 1629615 1649076 1656330 1711541 1758630 1821963 1838540 1868680 1934493 1974855 2061345 2072536 2163304 2172820 2206248 2208440 2286219 2344840 2350920 2390102 2429284 2496120 2579324 2590670 2607384 2633140 2704130 2748460 2757810 2803020 2849737 2896454 2949960 3036605 3048292 3108804 3159768 3224155 3244956 3259230 3298152 3312660 3367871 3423082 3517260 3585153 3643926 3677080 3810365 3868986 3886005 3949710 4056195 4122690 4344681 4345640 4572438 4780204 4858568 5134623 5158648 5181340 5266280 5408260 5496920 5515620 5606040 5699474 5792908 5975255 6073210 6096584 6217608 6448310 6489912 6518460 6625320 6735742 6846164 7034520 7170306 7241135 7287852 7620730 7737972 7772010 7899420 8031077 8112390 8245380 8382803 8549211 8557705 8689362 9109815 9144876 9560408 9672465 10103613 10269246 10362680 10816520 11031240 11398948 11431095 11585816 11950510 12146420 12896620 13036920 13471484 13692328 14248685 14340612 14482270 14575704 15241460 15475944 15544020 15798840 16062154 16224780 16490760 16765606 16839355 17098422 17115410 17378724 17925765 18219630 18289752 18826951 19344930 20207226 20538492 21723405 22797896 22862190 23901020 24093231 24292840 25148409 25673115 25793240 26942968 28497370 28681224 28964540 30482920 31088040 32124308 32449560 33531212 33678710 34196844 34230820 34757448 35851530 36439260 37046581 37653902 38689860 40155385 40414452 41076984 41914015 42746055 43446810 45724380 47802040 48186462 50296818 50518065 51346230 56480853 56994740 57929080 64248616 67062424 67357420 68393688 68461640 71703060 72878520 74093162 75307804 77379720 80310770 80828904 83828030 85492110 86893620 88341847 91448760 94134755 96372924 100593636 101036130 102692460 104404001 111139743 112961706 113989480 120466155 125742045 134714840 143406120 148186324 150615608 160621540 167656060 170984220 173787240 176683694 185232905 188269510 192745848 201187272 202072260 205384920 208808002 222279486 225923412 240932310 251484090 265025541 282404265 296372648 313212003 321243080 335312120 341968440 353367388 370465810 376539020 404144520 417616004 441709235 444558972 451846824 481864620 502968180 522020005 530051082 555698715 564808530 626424006 706734776 740931620 753078040 835232008 883418470 889117944 963729240 1005936360 1044040010 1060102164 1111397430 1129617060 1148444011 1252848012 1325127705 1481863240 1566060015 1766836940 2088080020 2120204328 2222794860 2259234120 2296888022 2505696024 2650255410 3132120030 3445332033 3533673880 4176160040 4445589720 4593776044 5300510820 5742220055 6264240060 6890664066 9187552088 10601021640 11484440110 12528480120 13781328132 17226660165 22968880220 27562656264 34453320330 45937760440 68906640660 137813281320
- Sum of all divisors σ(n): 513844611840
- Sum of proper divisors (its aliquot sum) s(n): 376031330520
- 137813281320 is an abundant number, because the sum of its proper divisors (376031330520) is greater than itself. Its abundance is 238218049200
Bases of 137813281320
- Binary: 100000000101100100111111001010001010002
- Hexadecimal: 0x20164FCA28
- Base-36: 1RB6GWFC
Squares and roots of 137813281320
- 137813281320 squared (1378132813202) is 18992500508185460942400
- 137813281320 cubed (1378132813203) is 2617418815504805891588843515968000
-
The
square root of 137813281320 is 371232.1124579607 -
The
cube root of 137813281320 is 5165.3175321853
Scales and comparisons
How big is 137813281320?- 137,813,281,320 seconds is equal to 4,382 years, 1 week, 6 days, 3 hours, 2 minutes.
-
To count from 1 to 137,813,281,320 would take you about eight thousand, seven hundred sixty-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 137813281320 cubic inches would be around 430.4 feet tall.
Recreational maths with 137813281320
- 137813281320 backwards is 023182318731
- 137813281320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137813281320's digits is 39
- More coming soon!
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The information we have on file for 137813281320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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