137455489920
137,455,489,920 is an even composite number composed of seven prime numbers multiplied together.
137455489920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137455489920:
27 × 3 × 5 × 72 × 29 × 83 × 607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 29 × 83 × 607)See below for interesting mathematical facts about the number 137455489920 from the Numbermatics database.
Names of 137455489920
- Cardinal: 137455489920 can be written as One hundred thirty-seven billion, four hundred fifty-five million, four hundred eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3745548992 × 1011
Factors of 137455489920
Divisors of 137455489920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 49 56 58 60 64 70 80 83 84 87 96 98 105 112 116 120 128 140 145 147 160 166 168 174 192 196 203 210 224 232 240 245 249 280 290 294 320 332 336 348 384 392 406 415 420 435 448 464 480 490 498 560 580 581 588 607 609 640 664 672 696 735 784 812 830 840 870 896 928 960 980 996 1015 1120 1160 1162 1176 1214 1218 1245 1328 1344 1392 1421 1470 1568 1624 1660 1680 1740 1743 1821 1856 1920 1960 1992 2030 2240 2320 2324 2352 2407 2428 2436 2490 2656 2688 2784 2842 2905 2940 3035 3045 3136 3248 3320 3360 3480 3486 3642 3712 3920 3984 4060 4067 4249 4263 4480 4640 4648 4704 4814 4856 4872 4980 5312 5568 5684 5810 5880 6070 6090 6272 6496 6640 6720 6960 6972 7105 7221 7284 7840 7968 8120 8134 8498 8526 8715 9105 9280 9296 9408 9628 9712 9744 9960 10624 11136 11368 11620 11760 12035 12140 12180 12201 12747 12992 13280 13440 13920 13944 14210 14442 14568 15680 15936 16240 16268 16849 16996 17052 17430 17603 18210 18560 18592 18816 19256 19424 19488 19920 20335 21245 21315 22736 23240 23520 24070 24280 24360 24402 25494 25984 26560 27840 27888 28420 28884 29136 29743 31360 31872 32480 32536 33698 33992 34104 34860 35206 36105 36420 37184 38512 38848 38976 39840 40670 42490 42630 45472 46480 47040 48140 48560 48720 48804 50381 50547 50988 52809 53120 55680 55776 56840 57768 58272 59486 61005 63735 64960 65072 67396 67984 68208 69720 70412 72210 72840 74368 77024 77696 77952 79680 81340 84245 84980 85260 88015 89229 90944 92960 94080 96280 97120 97440 97608 100762 101094 101976 105618 111552 113680 115536 116544 117943 118972 122010 123221 127470 129920 130144 134792 135968 136416 139440 140824 144420 145680 148715 151143 154048 159360 162680 168490 169960 170520 176030 178458 181888 185920 192560 194240 194880 195216 201524 202188 203952 211236 223104 227360 231072 233088 235886 237944 244020 246442 251905 252735 254940 260288 264045 269584 271936 272832 278880 281648 288840 291360 297430 302286 308096 325360 336980 339920 341040 352060 352667 353829 356916 369663 371840 385120 388480 389760 390432 403048 404376 407904 422472 446145 454720 462144 471772 475888 488040 492884 503810 505470 509880 520576 528090 539168 543872 545664 557760 563296 577680 582720 589715 594860 604572 616105 650720 673960 679840 682080 704120 705334 707658 713832 739326 755715 770240 780864 806096 808752 815808 844944 862547 892290 909440 924288 943544 951776 976080 985768 1007620 1010940 1019760 1056180 1058001 1078336 1115520 1126592 1155360 1165440 1179430 1189720 1209144 1232210 1301440 1347920 1359680 1364160 1408240 1410668 1415316 1427664 1461049 1478652 1511430 1540480 1561728 1612192 1617504 1631616 1689888 1725094 1763335 1769145 1784580 1848315 1887088 1903552 1952160 1971536 2015240 2021880 2039520 2112360 2116002 2156672 2253184 2310720 2358860 2379440 2418288 2464420 2468669 2587641 2602880 2695840 2719360 2728320 2816480 2821336 2830632 2855328 2922098 2957304 3022860 3224384 3235008 3379776 3450188 3526670 3538290 3569160 3696630 3774176 3807104 3904320 3943072 4030480 4043760 4079040 4224720 4232004 4312735 4383147 4621440 4717720 4758880 4836576 4928840 4937338 5175282 5290005 5391680 5632960 5642672 5661264 5710656 5844196 5914608 6045720 6448768 6470016 6759552 6900376 7053340 7076580 7138320 7305245 7393260 7406007 7548352 7808640 7886144 8060960 8087520 8158080 8449440 8464008 8625470 8766294 9435440 9517760 9673152 9857680 9874676 10227343 10350564 10580010 10783360 11265920 11285344 11322528 11421312 11688392 11829216 12091440 12343345 12938205 13800752 14106680 14153160 14276640 14610490 14786520 14812014 15096704 15772288 16121920 16175040 16898880 16928016 17250940 17532588 18870880 19035520 19346304 19715360 19749352 20454686 20701128 21160020 21915735 22570688 22645056 23376784 23658432 24182880 24686690 25876410 27601504 28213360 28306320 28553280 29220980 29573040 29624028 30682029 32243840 32350080 33797760 33856032 34501880 35065176 37030035 37741760 39430720 39498704 40909372 41402256 42320040 43831470 45141376 45290112 46753568 47316864 48365760 49373380 51136715 51752820 55203008 56426720 56612640 57106560 58441960 59146080 59248056 61364058 67712064 69003760 70130352 71591401 74060070 75483520 78861440 78997408 81818744 82804512 84640080 87662940 93507136 96731520 98746760 102273430 103505640 110406016 112853440 113225280 116883920 118292160 118496112 122728116 135424128 138007520 140260704 143182802 148120140 153410145 157994816 163637488 165609024 169280160 175325880 187014272 197493520 204546860 207011280 214774203 225706880 226450560 233767840 236584320 236992224 245456232 276015040 280521408 286365604 296240280 306820290 315989632 327274976 331218048 338560320 350651760 357957005 394987040 409093720 414022560 429548406 467535680 473984448 490912464 552030080 561042816 572731208 592480560 613640580 654549952 677120640 701303520 715914010 789974080 818187440 828045120 859096812 935071360 947968896 981824928 1073871015 1145462416 1184961120 1227281160 1309099904 1402607040 1431828020 1579948160 1636374880 1656090240 1718193624 1963649856 2147742030 2290924832 2369922240 2454562320 2805214080 2863656040 3272749760 3436387248 3927299712 4295484060 4581849664 4739844480 4909124640 5727312080 6545499520 6872774496 8590968120 9163699328 9818249280 11454624160 13745548992 17181936240 19636498560 22909248320 27491097984 34363872480 45818496640 68727744960 137455489920
- Sum of all divisors σ(n): 534478694400
- Sum of proper divisors (its aliquot sum) s(n): 397023204480
- 137455489920 is an abundant number, because the sum of its proper divisors (397023204480) is greater than itself. Its abundance is 259567714560
Bases of 137455489920
- Binary: 100000000000001111110001010011100000002
- Hexadecimal: 0x2000FC5380
- Base-36: 1R59G6TC
Squares and roots of 137455489920
- 137455489920 squared (1374554899202) is 18894011709147221606400
- 137455489920 cubed (1374554899203) is 2597085636035047891314521407488000
-
The
square root of 137455489920 is 370749.9021173169 -
The
cube root of 137455489920 is 5160.8435854123
Scales and comparisons
How big is 137455489920?- 137,455,489,920 seconds is equal to 4,370 years, 34 weeks, 2 days, 32 minutes.
-
To count from 1 to 137,455,489,920 would take you about eight thousand, seven hundred forty-one 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 137455489920 cubic inches would be around 430.1 feet tall.
Recreational maths with 137455489920
- 137455489920 backwards is 029984554731
- The number of decimal digits it has is: 12
- The sum of 137455489920's digits is 57
- More coming soon!
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