135738097920
135,738,097,920 is an even composite number composed of six prime numbers multiplied together.
135738097920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135738097920:
28 × 33 × 5 × 312 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 31 × 61 × 67)See below for interesting mathematical facts about the number 135738097920 from the Numbermatics database.
Names of 135738097920
- Cardinal: 135738097920 can be written as One hundred thirty-five billion, seven hundred thirty-eight million, ninety-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3573809792 × 1011
Factors of 135738097920
Divisors of 135738097920
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 61 62 64 67 72 80 90 93 96 108 120 122 124 128 134 135 144 155 160 180 183 186 192 201 216 240 244 248 256 268 270 279 288 305 310 320 335 360 366 372 384 402 432 465 480 488 496 536 540 549 558 576 603 610 620 640 670 720 732 744 768 804 837 864 915 930 960 961 976 992 1005 1072 1080 1098 1116 1152 1206 1220 1240 1280 1340 1395 1440 1464 1488 1608 1647 1674 1728 1809 1830 1860 1891 1920 1922 1952 1984 2010 2077 2144 2160 2196 2232 2304 2412 2440 2480 2680 2745 2790 2880 2883 2928 2976 3015 3216 3294 3348 3456 3618 3660 3720 3782 3840 3844 3904 3968 4020 4087 4154 4185 4288 4320 4392 4464 4805 4824 4880 4960 5360 5490 5580 5673 5760 5766 5856 5952 6030 6231 6432 6588 6696 6912 7236 7320 7440 7564 7688 7808 7936 8040 8174 8235 8308 8370 8576 8640 8649 8784 8928 9045 9455 9610 9648 9760 9920 10385 10720 10980 11160 11346 11520 11532 11712 11904 12060 12261 12462 12864 13176 13392 14415 14472 14640 14880 15128 15376 15616 16080 16348 16470 16616 16740 17019 17152 17280 17298 17568 17856 18090 18693 18910 19220 19296 19520 19840 20435 20770 21440 21960 22320 22692 23064 23424 23808 24120 24522 24924 25728 25947 26352 26784 28365 28830 28944 29280 29760 30256 30752 31155 32160 32696 32940 33232 33480 34038 34560 34596 35136 35712 36180 36783 37386 37820 38440 38592 39040 39680 40870 41540 42880 43245 43920 44640 45384 46128 46848 48240 49044 49848 51057 51456 51894 52704 53568 56079 56730 57660 57888 58560 58621 59520 60512 61305 61504 62310 64320 64387 65392 65880 66464 66960 68076 69192 70272 71424 72360 73566 74772 75640 76880 77184 78080 81740 83080 85095 85760 86490 87840 89280 90768 92256 93465 96480 98088 99696 102114 103788 105408 107136 110349 112158 113460 115320 115776 117120 117242 119040 121024 122610 123008 124620 126697 128640 128774 129735 130784 131760 132928 133920 136152 138384 140544 144720 147132 149544 151280 153760 154368 163480 166160 170190 172980 175680 175863 178560 181536 183915 184512 186930 192960 193161 196176 199392 204228 207576 210816 214272 220698 224316 226920 230640 231552 234240 234484 242048 245220 246016 249240 253394 255285 257280 257548 259470 261568 263520 265856 267840 272304 276768 280395 289440 293105 294264 299088 302560 307520 321935 326960 332320 340380 345960 351360 351726 357120 363072 367830 369024 373860 380091 385920 386322 392352 398784 408456 415152 421632 441396 448632 453840 461280 463104 468968 484096 490440 498480 506788 510570 515096 518940 523136 527040 527589 531712 535680 544608 551745 553536 560790 578880 579483 586210 588528 598176 605120 615040 633485 643870 653920 664640 680760 691920 702720 703452 726144 735660 738048 747720 760182 771840 772644 784704 797568 816912 830304 879315 882792 897264 907680 922560 937936 965805 980880 996960 1013576 1021140 1030192 1037880 1046272 1054080 1055178 1071360 1089216 1103490 1107072 1121580 1140273 1157760 1158966 1172420 1177056 1196352 1210240 1230080 1266970 1287740 1307840 1329280 1361520 1383840 1406904 1452288 1471320 1495440 1520364 1545288 1569408 1582767 1595136 1633824 1660608 1738449 1758630 1765584 1794528 1815360 1845120 1875872 1900455 1931610 1961760 1993920 2027152 2042280 2060384 2075760 2108160 2110356 2178432 2206980 2214144 2243160 2280546 2315520 2317932 2344840 2354112 2392704 2420480 2533940 2575480 2615680 2637945 2658560 2723040 2767680 2813808 2897415 2942640 2990880 3040728 3090576 3138816 3165534 3267648 3321216 3420819 3476898 3517260 3531168 3589056 3630720 3690240 3751744 3800910 3863220 3923520 3927607 3987840 4054304 4084560 4120768 4151520 4220712 4356864 4413960 4486320 4561092 4635864 4689680 4708224 4785408 5067880 5150960 5231360 5275890 5446080 5535360 5627616 5701365 5794830 5885280 5981760 6081456 6181152 6331068 6535296 6642432 6841638 6953796 7034520 7062336 7178112 7261440 7503488 7601820 7726440 7847040 7855214 7913835 7975680 8108608 8169120 8241536 8303040 8441424 8692245 8827920 8972640 9122184 9271728 9379360 9416448 10135760 10301920 10551780 10892160 11070720 11255232 11402730 11589660 11770560 11782821 11963520 12162912 12362304 12662136 13070592 13683276 13907592 14069040 14124672 14356224 15006976 15203640 15452880 15694080 15710428 15827670 16217216 16338240 16483072 16606080 16882848 17104095 17384490 17655840 17945280 18244368 18543456 18758720 19638035 20271520 20603840 21103560 21784320 22510464 22805460 23179320 23541120 23565642 23927040 24325824 24724608 25324272 27366552 27815184 28138080 28249344 30407280 30905760 31420856 31655340 32434432 32676480 33212160 33765696 34208190 34768980 35311680 35348463 35890560 36488736 37086912 37517440 39276070 40543040 41207680 42207120 45020928 45610920 46358640 47082240 47131284 48651648 49449216 50648544 54733104 55630368 56276160 58914105 60814560 61811520 62841712 63310680 65352960 67531392 68416380 69537960 70623360 70696926 71781120 72977472 74173824 75034880 78552140 81086080 82415360 84414240 91221840 92717280 94262568 97303296 101297088 106045389 109466208 111260736 112552320 117828210 121629120 123623040 125683424 126621360 135062784 136832760 139075920 141246720 141393852 145954944 148347648 157104280 162172160 168828480 176742315 182443680 185434560 188525136 202594176 212090778 218932416 222521472 225104640 235656420 243258240 247246080 251366848 253242720 273665520 278151840 282787704 291909888 314208560 337656960 353484630 364887360 370869120 377050272 405188352 424181556 437864832 445042944 471312840 486516480 502733696 506485440 530226945 547331040 556303680 565575408 628417120 675313920 706969260 729774720 741738240 754100544 848363112 875729664 942625680 1005467392 1012970880 1060453890 1094662080 1112607360 1131150816 1256834240 1413938520 1459549440 1508201088 1696726224 1885251360 2025941760 2120907780 2189324160 2225214720 2262301632 2513668480 2827877040 3016402176 3393452448 3770502720 4241815560 4378648320 4524603264 5027336960 5655754080 6786904896 7541005440 8483631120 9049206528 11311508160 13573809792 15082010880 16967262240 22623016320 27147619584 33934524480 45246032640 67869048960 135738097920
- Sum of all divisors σ(n): 513430888320
- Sum of proper divisors (its aliquot sum) s(n): 377692790400
- 135738097920 is an abundant number, because the sum of its proper divisors (377692790400) is greater than itself. Its abundance is 241954692480
Bases of 135738097920
- Binary: 11111100110101001111100000001000000002
- Hexadecimal: 0x1F9A9F0100
- Base-36: 1QCUYIO0
Squares and roots of 135738097920
- 135738097920 squared (1357380979202) is 18424831226939508326400
- 135738097920 cubed (1357380979203) is 2500951545241788723125538521088000
-
The
square root of 135738097920 is 368426.5163095621 -
The
cube root of 135738097920 is 5139.2599619921
Scales and comparisons
How big is 135738097920?- 135,738,097,920 seconds is equal to 4,316 years, 2 weeks, 4 days, 19 hours, 12 minutes.
-
To count from 1 to 135,738,097,920 would take you about eight thousand, six hundred thirty-two 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 135738097920 cubic inches would be around 428.3 feet tall.
Recreational maths with 135738097920
- 135738097920 backwards is 029790837531
- 135738097920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135738097920's digits is 54
- More coming soon!
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