138907089216
138,907,089,216 is an even composite number composed of six prime numbers multiplied together.
138907089216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred eighty-four divisors.
Prime factorization of 138907089216:
26 × 36 × 7 × 17 × 127 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 17 × 127 × 197)See below for interesting mathematical facts about the number 138907089216 from the Numbermatics database.
Names of 138907089216
- Cardinal: 138907089216 can be written as One hundred thirty-eight billion, nine hundred seven million, eighty-nine thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38907089216 × 1011
Factors of 138907089216
Divisors of 138907089216
- Number of divisors d(n): 784
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 81 84 96 102 108 112 119 126 127 136 144 153 162 168 189 192 197 204 216 224 238 243 252 254 272 288 306 324 336 357 378 381 394 408 432 448 459 476 486 504 508 544 567 576 591 612 648 672 714 729 756 762 788 816 864 889 918 952 972 1008 1016 1071 1088 1134 1143 1182 1224 1296 1344 1377 1379 1428 1458 1512 1524 1576 1632 1701 1728 1773 1778 1836 1904 1944 2016 2032 2142 2159 2268 2286 2364 2448 2592 2667 2754 2758 2856 2916 3024 3048 3152 3213 3264 3349 3402 3429 3546 3556 3672 3808 3888 4032 4064 4131 4137 4284 4318 4536 4572 4728 4896 5103 5184 5319 5334 5508 5516 5712 5832 6048 6096 6304 6426 6477 6698 6804 6858 7092 7112 7344 7616 7776 8001 8128 8262 8274 8568 8636 9072 9144 9456 9639 9792 10047 10206 10287 10638 10668 11016 11032 11424 11664 12096 12192 12393 12411 12608 12852 12954 13396 13608 13716 14184 14224 14688 15113 15552 15957 16002 16524 16548 17136 17272 18144 18288 18912 19278 19431 20094 20412 20574 21276 21336 22032 22064 22848 23328 23443 24003 24384 24786 24822 25019 25704 25908 26792 27216 27432 28368 28448 28917 29376 30141 30226 30861 31914 32004 33048 33096 34272 34544 36288 36576 37233 37824 38556 38862 40188 40824 41148 42552 42672 44064 44128 45339 46656 46886 47871 48006 49572 49644 50038 51408 51816 53584 54432 54864 56736 56896 57834 58293 60282 60452 61722 63828 64008 66096 66192 68544 69088 70329 72009 73152 74466 75057 77112 77724 80376 81648 82296 85104 85344 86751 88128 88256 90423 90678 92583 93772 95742 96012 99144 99288 100076 102816 103632 107168 108864 109728 111699 113472 115668 116586 120564 120904 123444 127656 128016 132192 132384 136017 138176 140658 143613 144018 148932 150114 154224 155448 160752 163296 164592 170208 170688 173502 174879 175133 180846 181356 185166 187544 191484 192024 198288 198576 200152 205632 207264 210987 214336 216027 219456 223398 225171 231336 233172 241128 241808 246888 255312 256032 264384 264768 271269 272034 281316 287226 288036 297864 300228 308448 310896 321504 326592 329184 335097 340416 347004 349758 350266 361692 362712 370332 375088 382968 384048 396576 397152 400304 408051 414528 421974 425323 432054 446796 450342 462672 466344 482256 483616 493776 510624 512064 524637 525399 542538 544068 562632 574452 576072 595728 600456 616896 621792 632961 643008 648081 658368 670194 675513 694008 699516 700532 723384 725424 740664 750176 765936 768096 793152 794304 800608 813807 816102 843948 850646 864108 893592 900684 925344 932688 964512 967232 987552 1005291 1021248 1049274 1050798 1085076 1088136 1125264 1148904 1152144 1191456 1200912 1224153 1243584 1265922 1275969 1296162 1340388 1351026 1388016 1399032 1401064 1446768 1450848 1481328 1500352 1531872 1536192 1573911 1576197 1601216 1627614 1632204 1687896 1701292 1728216 1787184 1801368 1850688 1865376 1898883 1929024 1975104 2010582 2026539 2098548 2101596 2170152 2176272 2250528 2297808 2304288 2382912 2401824 2441421 2448306 2531844 2551938 2592324 2680776 2702052 2776032 2798064 2802128 2893536 2901696 2962656 2977261 3063744 3147822 3152394 3255228 3264408 3375792 3402584 3456432 3574368 3602736 3672459 3730752 3797766 3827907 4021164 4053078 4197096 4203192 4340304 4352544 4501056 4595616 4608576 4728591 4803648 4882842 4896612 5063688 5103876 5184648 5361552 5404104 5552064 5596128 5604256 5696649 5787072 5925312 5954522 6079617 6295644 6304788 6510456 6528816 6751584 6805168 6912864 7148736 7205472 7344918 7595532 7655814 8042328 8106156 8394192 8406384 8680608 8705088 8931783 9191232 9457182 9765684 9793224 10127376 10207752 10369296 10723104 10808208 11017377 11192256 11208512 11393298 11483721 11909044 12159234 12591288 12609576 13020912 13057632 13503168 13610336 13825728 14185773 14410944 14689836 15191064 15311628 16084656 16212312 16788384 16812768 17089947 17361216 17863566 18238851 18914364 19531368 19586448 20254752 20415504 20738592 21446208 21616416 22034754 22786596 22967442 23818088 24318468 25182576 25219152 26041824 26115264 26795349 27220672 28371546 29379672 30382128 30623256 32169312 32424624 33576768 33625536 34179894 34451163 35727132 36477702 37828728 39062736 39172896 40509504 40831008 41477184 42557319 43232832 44069508 45573192 45934884 47636176 48636936 50365152 50438304 52083648 53590698 56743092 58759344 60764256 61246512 64338624 64849248 68359788 68902326 71454264 72955404 75657456 78125472 78345792 80386047 81662016 85114638 88139016 91146384 91869768 95272352 97273872 100730304 100876608 103353489 107181396 113486184 117518688 121528512 122493024 127671957 129698496 136719576 137804652 142908528 145910808 151314912 156250944 160772094 170229276 176278032 182292768 183739536 190544704 194547744 206706978 214362792 226972368 235037376 241158141 244986048 255343914 273439152 275609304 285817056 291821616 302629824 310060467 321544188 340458552 352556064 364585536 367479072 389095488 413413956 428725584 453944736 482316282 510687828 546878304 551218608 571634112 583643232 620120934 643088376 680917104 705112128 723474423 734958144 826827912 857451168 907889472 964632564 1021375656 1093756608 1102437216 1167286464 1240241868 1286176752 1361834208 1446948846 1653655824 1714902336 1929265128 2042751312 2170423269 2204874432 2480483736 2572353504 2723668416 2893897692 3307311648 3858530256 4085502624 4340846538 4960967472 5144707008 5787795384 6614623296 7717060512 8171005248 8681693076 9921934944 11575590768 15434121024 17363386152 19843869888 23151181536 34726772304 46302363072 69453544608 138907089216
- Sum of all divisors σ(n): 506595741696
- Sum of proper divisors (its aliquot sum) s(n): 367688652480
- 138907089216 is an abundant number, because the sum of its proper divisors (367688652480) is greater than itself. Its abundance is 228781563264
Bases of 138907089216
- Binary: 100000010101111000000111111001010000002
- Hexadecimal: 0x205781F940
- Base-36: 1RT9P000
Squares and roots of 138907089216
- 138907089216 squared (1389070892162) is 19295179434461783494656
- 138907089216 cubed (1389070892163) is 2680237211141511384834657251229696
-
The
square root of 138907089216 is 372702.4137512393 -
The
cube root of 138907089216 is 5178.9470439681
Scales and comparisons
How big is 138907089216?- 138,907,089,216 seconds is equal to 4,416 years, 42 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,907,089,216 would take you about eight thousand, eight hundred thirty-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 138907089216 cubic inches would be around 431.6 feet tall.
Recreational maths with 138907089216
- 138907089216 backwards is 612980709831
- 138907089216 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138907089216's digits is 54
- More coming soon!
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