137005390080
137,005,390,080 is an even composite number composed of seven prime numbers multiplied together.
137005390080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137005390080:
28 × 32 × 5 × 13 × 41 × 53 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 41 × 53 × 421)See below for interesting mathematical facts about the number 137005390080 from the Numbermatics database.
Names of 137005390080
- Cardinal: 137005390080 can be written as One hundred thirty-seven billion, five million, three hundred ninety thousand and eighty.
Scientific notation
- Scientific notation: 1.3700539008 × 1011
Factors of 137005390080
Divisors of 137005390080
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 41 45 48 52 53 60 64 65 72 78 80 82 90 96 104 106 117 120 123 128 130 144 156 159 160 164 180 192 195 205 208 212 234 240 246 256 260 265 288 312 318 320 328 360 369 384 390 410 416 421 424 468 477 480 492 520 530 533 576 585 615 624 636 640 656 689 720 738 768 780 795 820 832 842 848 936 954 960 984 1040 1060 1066 1152 1170 1230 1248 1263 1272 1280 1312 1378 1440 1476 1560 1590 1599 1640 1664 1684 1696 1845 1872 1908 1920 1968 2067 2080 2105 2120 2132 2173 2304 2340 2385 2460 2496 2526 2544 2624 2665 2756 2880 2952 3120 3180 3198 3280 3328 3368 3392 3445 3690 3744 3789 3816 3840 3936 4134 4160 4210 4240 4264 4346 4680 4770 4797 4920 4992 5052 5088 5248 5330 5473 5512 5760 5904 6201 6240 6315 6360 6396 6519 6560 6736 6784 6890 7380 7488 7578 7632 7872 7995 8268 8320 8420 8480 8528 8692 9360 9540 9594 9840 9984 10104 10176 10335 10496 10660 10865 10946 11024 11520 11808 12402 12480 12630 12720 12792 13038 13120 13472 13568 13780 14760 14976 15156 15264 15744 15990 16419 16536 16640 16840 16960 17056 17261 17384 18720 18945 19080 19188 19557 19680 20208 20352 20670 21320 21730 21892 22048 22313 23616 23985 24804 24960 25260 25440 25584 26076 26240 26944 27365 27560 28249 29520 29952 30312 30528 31005 31488 31980 32595 32838 33072 33680 33920 34112 34522 34768 37440 37890 38160 38376 39114 39360 40416 40704 41340 42640 43460 43784 44096 44626 47232 47970 49257 49608 49920 50520 50880 51168 51783 52152 52480 53888 54730 55120 56498 59040 60624 61056 62010 63960 65190 65676 66144 66939 67360 67840 68224 69044 69536 74880 75780 76320 76752 78228 78720 80832 82095 82680 84747 85280 86305 86920 87568 88192 89252 94464 95940 97785 98514 99216 101040 101760 102336 103566 104304 107776 109460 110240 111565 112996 118080 121248 122112 124020 127920 130380 131352 132288 133878 134720 136448 138088 139072 141245 149760 151560 152640 153504 155349 156456 157440 161664 164190 165360 169494 170560 172610 173840 175136 176384 178504 191880 195570 197028 198432 200817 202080 203520 204672 207132 208608 218920 220480 223130 224393 225992 236160 242496 246285 248040 254241 255840 258915 260760 262704 264576 267756 269440 276176 278144 282490 290069 303120 305280 307008 310698 312912 323328 328380 330720 334695 338988 341120 345220 347680 350272 357008 383760 391140 394056 396864 401634 404160 409344 414264 417216 423735 437840 440960 446260 448786 451984 472320 484992 492570 496080 508482 511680 517830 521520 525408 529152 535512 538880 552352 556288 564980 580138 606240 610560 614016 621396 625824 656760 661440 669390 673179 677976 682240 690440 695360 700544 714016 767520 776745 782280 788112 793728 803268 808320 828528 834432 847470 870207 875680 881920 892520 897572 903968 914833 969984 985140 992160 1004085 1016964 1023360 1035660 1043040 1050816 1071024 1104704 1121965 1129960 1160276 1212480 1228032 1242792 1251648 1271205 1313520 1322880 1338780 1346358 1355952 1380880 1390720 1401088 1428032 1450345 1535040 1553490 1564560 1576224 1587456 1606536 1616640 1657056 1668864 1694940 1740414 1751360 1785040 1795144 1807936 1829666 1970280 1984320 2008170 2019537 2033928 2046720 2071320 2086080 2101632 2142048 2209408 2243930 2259920 2320552 2424960 2485584 2503296 2542410 2610621 2627040 2645760 2677560 2692716 2711904 2744499 2761760 2781440 2856064 2900690 3070080 3106980 3129120 3152448 3213072 3314112 3365895 3389880 3480828 3502720 3570080 3590288 3615872 3659332 3940560 3968640 4016340 4039074 4067856 4142640 4172160 4203264 4284096 4351035 4418816 4487860 4519840 4574165 4641104 4849920 4971168 5006592 5084820 5221242 5254080 5355120 5385432 5423808 5488998 5523520 5712128 5801380 6140160 6213960 6258240 6304896 6426144 6628224 6731790 6779760 6961656 7005440 7140160 7180576 7231744 7318664 7881120 7937280 8032680 8078148 8135712 8233497 8285280 8344320 8568192 8702070 8975720 9039680 9148330 9282208 9942336 10097685 10169640 10442484 10508160 10710240 10770864 10847616 10977996 11047040 11602760 11892829 12427920 12516480 12609792 12852288 13053105 13256448 13463580 13559520 13722495 13923312 14280320 14361152 14637328 15762240 16065360 16156296 16271424 16466994 16570560 17136384 17404140 17951440 18079360 18296660 18564416 19884672 20195370 20339280 20884968 21016320 21420480 21541728 21695232 21955992 22094080 23205520 23785658 24855840 25032960 25704576 26106210 26927160 27119040 27444990 27846624 28560640 28722304 29274656 31524480 32130720 32312592 32542848 32933988 33141120 34808280 35678487 35902880 36158720 36593320 37128832 39769344 40390740 40678560 41167485 41769936 42840960 43083456 43911984 46411040 47571316 49711680 51409152 52212420 53854320 54238080 54889980 55693248 57444608 58549312 59464145 63048960 64261440 64625184 65085696 65867976 66282240 69616560 71356974 71805760 73186640 74257664 80781480 81357120 82334970 83539872 85681920 86166912 87823968 92822080 95142632 99423360 104424840 107035461 107708640 108476160 109779960 111386496 117098624 118928290 128522880 129250368 131735952 139233120 142713948 143611520 146373280 161562960 162714240 164669940 167079744 172333824 175647936 178392435 185644160 190285264 198846720 208849680 214070922 215417280 219559920 222772992 234197248 237856580 257045760 258500736 263471904 278466240 285427896 287223040 292746560 323125920 325428480 329339880 334159488 351295872 356784870 371288320 380570528 417699360 428141844 430834560 439119840 475713160 517001472 526943808 535177305 556932480 570855792 585493120 646251840 658679760 668318976 702591744 713569740 761141056 835398720 856283688 861669120 878239680 951426320 1053887616 1070354610 1113864960 1141711584 1170986240 1292503680 1317359520 1427139480 1522282112 1670797440 1712567376 1756479360 1902852640 2107775232 2140709220 2283423168 2585007360 2634719040 2854278960 3044564224 3341594880 3425134752 3512958720 3805705280 4281418440 4566846336 5269438080 5708557920 6850269504 7611410560 8562836880 9133692672 10538876160 11417115840 13700539008 15222821120 17125673760 22834231680 27401078016 34251347520 45668463360 68502695040 137005390080
- Sum of all divisors σ(n): 534071053152
- Sum of proper divisors (its aliquot sum) s(n): 397065663072
- 137005390080 is an abundant number, because the sum of its proper divisors (397065663072) is greater than itself. Its abundance is 260060272992
Bases of 137005390080
- Binary: 11111111001100010100001011001000000002
- Hexadecimal: 0x1FE6285900
- Base-36: 1QXTGZK0
Squares and roots of 137005390080
- 137005390080 squared (1370053900802) is 18770476910972962406400
- 137005390080 cubed (1370053900803) is 2571656511175484146822007488512000
-
The
square root of 137005390080 is 370142.3916278707 -
The
cube root of 137005390080 is 5155.2043418869
Scales and comparisons
How big is 137005390080?- 137,005,390,080 seconds is equal to 4,356 years, 18 weeks, 12 hours, 48 minutes.
-
To count from 1 to 137,005,390,080 would take you about eight thousand, seven hundred twelve 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 137005390080 cubic inches would be around 429.6 feet tall.
Recreational maths with 137005390080
- 137005390080 backwards is 080093500731
- 137005390080 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137005390080's digits is 36
- More coming soon!
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