12835868073984

Names of 12835868073984

• Cardinal: 12835868073984 can be written as Twelve trillion, eight hundred thirty-five billion, eight hundred sixty-eight million, seventy-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.2835868073984 × 10¹³

Factors of 12835868073984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 418

Divisors of 12835868073984

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 23 24 32 36 41 46 48 64 69 72 82 92 96 123 128 138 144 164 184 192 207 246 256 276 288 328 349 368 369 384 414 492 512 529 552 576 656 698 736 738 768 828 943 984 1024 1047 1058 1104 1152 1312 1396 1472 1476 1536 1587 1656 1886 1968 2048 2094 2116 2208 2304 2624 2792 2829 2944 2952 3072 3141 3174 3312 3772 3936 4096 4188 4232 4416 4608 4761 5248 5584 5658 5888 5904 6144 6282 6348 6624 7544 7872 8027 8192 8376 8464 8487 8832 9216 9522 10496 11168 11316 11776 11808 12167 12288 12564 12696 13248 14309 15088 15744 16054 16752 16928 16974 17664 18432 19044 20992 21689 22336 22632 23552 23616 24081 24334 24576 25128 25392 26496 28618 30176 31488 32108 33504 33856 33948 35328 36501 36864 38088 41984 42927 43378 44672 45264 47104 47232 48162 48668 50256 50784 52992 57236 60352 62976 64216 65067 67008 67712 67896 70656 72243 73002 73728 76176 83968 85854 86756 89344 90528 94208 94464 96324 97336 100512 101568 105984 109503 114472 120704 125952 128432 128781 130134 134016 135424 135792 141312 144486 146004 152352 167936 171708 173512 178688 181056 184621 188416 188928 192648 194672 195201 201024 203136 211968 219006 228944 241408 251904 256864 257562 260268 268032 270848 271584 282624 288972 292008 304704 329107 335872 343416 347024 357376 362112 369242 377856 385296 389344 390402 402048 406272 423936 438012 457888 482816 498847 503808 513728 515124 520536 536064 541696 543168 553863 565248 577944 584016 609408 658214 686832 694048 714752 724224 738484 755712 770592 778688 780804 804096 812544 847872 876024 915776 965632 987321 997694 1007616 1027456 1030248 1041072 1072128 1083392 1086336 1107726 1155888 1168032 1218816 1316428 1373664 1388096 1429504 1448448 1476968 1496541 1511424 1541184 1557376 1561608 1608192 1625088 1661589 1695744 1752048 1831552 1931264 1974642 1995388 2054912 2060496 2082144 2144256 2166784 2172672 2215452 2311776 2336064 2437632 2632856 2747328 2776192 2859008 2896896 2953936 2961963 2993082 3022848 3082368 3114752 3123216 3216384 3250176 3323178 3504096 3663104 3862528 3949284 3990776 4109824 4120992 4164288 4246283 4288512 4333568 4345344 4430904 4489623 4623552 4672128 4875264 5265712 5494656 5552384 5793792 5907872 5923926 5986164 6164736 6229504 6246432 6432768 6500352 6646356 7008192 7326208 7569461 7725056 7898568 7981552 8219648 8241984 8328576 8492566 8577024 8690688 8861808 8979246 9247104 9344256 9750528 10531424 10989312 11104768 11587584 11815744 11847852 11972328 12329472 12459008 12492864 12738849 12865536 13000704 13292712 14016384 14652416 15138922 15797136 15963104 16439296 16483968 16657152 16985132 17381376 17723616 17958492 18494208 18688512 19501056 21062848 21978624 22209536 22708383 23175168 23631488 23695704 23944656 24658944 24918016 24985728 25477698 25731072 26585424 28032768 29304832 30277844 31594272 31926208 32878592 32967936 33314304 33970264 34762752 35447232 35916984 36988416 37377024 38216547 39002112 42125696 43957248 44419072 45416766 47262976 47391408 47889312 49317888 49836032 49971456 50955396 53170848 56065536 58609664 60555688 63188544 63852416 65757184 65935872 66628608 67940528 68125149 69525504 70894464 71833968 73976832 74754048 76433094 84251392 87914496 88838144 90833532 94525952 94782816 95778624 98635776 99672064 99942912 101910792 106341696 112131072 117219328 121111376 126377088 127704832 131871744 133257216 135881056 136250298 141788928 143667936 147953664 149508096 152866188 168502784 174097603 175828992 177676288 181667064 189051904 189565632 191557248 197271552 199885824 203821584 212683392 224262144 242222752 252754176 255409664 263743488 266514432 271762112 272500596 283577856 287335872 295907328 299016192 305732376 337005568 348195206 351657984 363334128 378103808 379131264 383114496 399771648 407643168 425366784 448524288 484445504 505508352 510819328 522292809 527486976 533028864 543524224 545001192 567155712 574671744 591814656 611464752 674011136 696390412 726668256 756207616 758262528 766228992 799543296 815286336 850733568 897048576 968891008 1011016704 1021638656 1044585618 1054973952 1087048448 1090002384 1134311424 1149343488 1222929504 1348022272 1392780824 1453336512 1512415232 1516525056 1532457984 1566878427 1599086592 1630572672 1701467136 1937782016 2022033408 2043277312 2089171236 2174096896 2180004768 2268622848 2298686976 2445859008 2696044544 2785561648 2906673024 3033050112 3064915968 3133756854 3261145344 3402934272 3875564032 4044066816 4086554624 4178342472 4348193792 4360009536 4537245696 4597373952 4891718016 5571123296 5813346048 6066100224 6129831936 6267513708 6522290688 6805868544 7751128064 8088133632 8356684944 8696387584 8720019072 9194747904 9783436032 11142246592 11626692096 12132200448 12259663872 12535027416 13044581376 13611737088 15502256128 16713369888 17392775168 17440038144 18389495808 19566872064 22284493184 23253384192 24264400896 25070054832 26089162752 31004512256 33426739776 34785550336 34880076288 36778991616 39133744128 44568986368 46506768384 50140109664 52178325504 62009024512 66853479552 69760152576 78267488256 89137972736 93013536768 100280219328 104356651008 133706959104 139520305152 156534976512 178275945472 186027073536 200560438656 267413918208 279040610304 313069953024 356551890944 401120877312 534827836416 558081220608 713103781888 802241754624 1069655672832 1426207563776 1604483509248 2139311345664 3208967018496 4278622691328 6417934036992 12835868073984
• Sum of all divisors σ(n): 39823665336000
• Sum of proper divisors (its aliquot sum) s(n): 26987797262016
• 12835868073984 is an abundant number, because the sum of its proper divisors (26987797262016) is greater than itself. Its abundance is 14151929188032

Bases of 12835868073984

• Binary: 10111010110010010101010110110110000000000000₂
• Hexadecimal: 0xBAC955B6000
• Base-36: 4JSPSFSW0

Squares and roots of 12835868073984

• 12835868073984 squared (12835868073984²) is 164759509212721721697632256
• 12835868073984 cubed (12835868073984³) is 2114831324188847470037547408635832827904
• The square root of 12835868073984 is 3582717.9729897803
• The cube root of 12835868073984 is 23413.9712959431

Scales and comparisons

• 12,835,868,073,984 seconds is equal to 408,140 years, 46 weeks, 5 days, 21 hours, 26 minutes, 24 seconds.
• To count from 1 to 12,835,868,073,984 would take you about one million, twenty thousand, three hundred fifty-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 12835868073984 cubic inches would be around 1951.2 feet tall.

Recreational maths with 12835868073984

• 12835868073984 backwards is 48937086853821
• 12835868073984 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12835868073984's digits is 72
• More coming soon!