12984168960

Names of 12984168960

• Cardinal: 12984168960 can be written as Twelve billion, nine hundred eighty-four million, one hundred sixty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.298416896 × 10¹⁰

Factors of 12984168960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 101

Divisors of 12984168960

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 49 53 56 60 62 63 64 70 72 80 84 90 93 96 98 105 106 112 120 124 126 128 140 144 147 155 159 160 168 180 186 192 196 210 212 217 224 240 245 248 252 256 265 279 280 288 294 310 315 318 320 336 343 360 371 372 384 392 420 424 434 441 448 465 477 480 490 496 504 512 530 558 560 576 588 620 630 636 640 651 672 686 720 735 742 744 768 784 795 840 848 868 882 896 930 954 960 980 992 1008 1029 1060 1085 1113 1116 1120 1152 1176 1240 1260 1272 1280 1302 1344 1372 1395 1440 1470 1484 1488 1519 1536 1568 1590 1643 1680 1696 1715 1736 1764 1792 1855 1860 1908 1920 1953 1960 1984 2016 2058 2120 2170 2205 2226 2232 2240 2304 2352 2385 2480 2520 2544 2560 2597 2604 2688 2744 2790 2880 2940 2968 2976 3038 3087 3136 3180 3255 3286 3339 3360 3392 3430 3472 3528 3584 3710 3720 3816 3840 3906 3920 3968 4032 4116 4240 4340 4410 4452 4464 4480 4557 4608 4704 4770 4929 4960 5040 5088 5145 5194 5208 5376 5488 5565 5580 5760 5880 5936 5952 6076 6174 6272 6360 6510 6572 6678 6720 6784 6860 6944 7056 7420 7440 7595 7632 7680 7791 7812 7840 7936 8064 8215 8232 8480 8680 8820 8904 8928 8960 9114 9408 9540 9765 9858 9920 10080 10176 10290 10388 10416 10633 10752 10976 11130 11160 11501 11520 11760 11872 11904 12152 12348 12544 12720 12985 13020 13144 13356 13440 13568 13671 13720 13888 14112 14787 14840 14880 15190 15264 15435 15582 15624 15680 15872 16128 16430 16464 16695 16960 17360 17640 17808 17856 17920 18179 18228 18816 19080 19530 19716 19840 20160 20352 20580 20776 20832 21266 21952 22260 22320 22785 23002 23040 23373 23520 23744 23808 24304 24645 24696 25088 25440 25970 26040 26288 26712 26880 27136 27342 27440 27776 28224 29574 29680 29760 30380 30528 30870 31164 31248 31360 31899 32256 32860 32928 33390 33920 34503 34720 35280 35616 35712 36358 36456 37632 38160 38955 39060 39432 39680 40320 40704 41160 41552 41664 42532 43904 44520 44640 45570 46004 46746 47040 47488 47616 48608 49290 49392 50880 51940 52080 52576 53165 53424 53760 54537 54684 54880 55552 56448 57505 59148 59360 59520 60760 61056 61740 62328 62496 62720 63798 65720 65856 66780 67840 68355 69006 69440 70560 71232 71424 72716 72912 73935 75264 76320 77910 78120 78864 79360 80507 80640 81408 82320 83104 83328 85064 87808 89040 89280 90895 91140 92008 93492 94080 94976 95697 97216 98580 98784 101760 103509 103880 104160 105152 106330 106848 109074 109368 109760 111104 112896 115010 116865 118296 118720 119040 121520 122112 123480 124656 124992 125440 127596 131440 131712 133560 135680 136710 138012 138880 141120 142464 142848 145432 145824 147870 152640 155820 156240 157728 159495 161014 161280 163611 164640 166208 166656 170128 172515 175616 178080 178560 181790 182280 184016 186984 188160 189952 191394 194432 197160 197568 203520 207018 207760 208320 210304 212660 213696 218148 218736 219520 225792 230020 233730 236592 237440 238080 241521 243040 244224 246960 249312 249984 255192 262880 263424 267120 272685 273420 276024 277760 282240 284928 290864 291648 295740 305280 311640 312480 315456 318990 322028 327222 329280 332416 333312 340256 345030 356160 357120 363580 364560 368032 373968 376320 382788 388864 394320 395136 402535 407040 414036 415520 416640 420608 425320 427392 436296 437472 439040 460040 467460 473184 474880 478485 483042 486080 493920 498624 499968 510384 517545 525760 526848 534240 545370 546840 552048 555520 563549 564480 569856 581728 583296 591480 610560 623280 624960 630912 637980 644056 654444 658560 664832 680512 690060 712320 714240 724563 727160 729120 736064 747936 765576 777728 788640 790272 805070 818055 828072 831040 833280 841216 850640 854784 872592 874944 878080 920080 934920 946368 949760 956970 966084 972160 987840 997248 999936 1020768 1035090 1051520 1068480 1090740 1093680 1104096 1127098 1128960 1163456 1166592 1182960 1207605 1221120 1246560 1249920 1261824 1275960 1288112 1308888 1317120 1329664 1361024 1380120 1424640 1449126 1454320 1458240 1472128 1495872 1531152 1577280 1580544 1610140 1636110 1656144 1662080 1666560 1690647 1701280 1709568 1745184 1749888 1840160 1869840 1892736 1913940 1932168 1944320 1975680 1994496 2041536 2070180 2103040 2136960 2181480 2187360 2208192 2254196 2326912 2333184 2365920 2415210 2493120 2499840 2523648 2551920 2576224 2617776 2634240 2722048 2760240 2817745 2849280 2898252 2908640 2916480 2944256 2991744 3062304 3154560 3220280 3272220 3312288 3324160 3381294 3402560 3490368 3499776 3622815 3680320 3739680 3785472 3827880 3864336 3888640 3951360 3988992 4083072 4140360 4206080 4273920 4362960 4374720 4416384 4508392 4653824 4731840 4830420 4986240 4999680 5071941 5103840 5152448 5235552 5444096 5520480 5635490 5796504 5817280 5832960 5888512 5983488 6124608 6309120 6440560 6544440 6624576 6648320 6762588 6805120 6980736 6999552 7245630 7360640 7479360 7570944 7655760 7728672 7902720 8166144 8280720 8453235 8547840 8725920 8749440 8832768 9016784 9307648 9463680 9660840 9972480 10143882 10207680 10304896 10471104 11040960 11270980 11593008 11634560 11665920 11966976 12249216 12618240 12881120 13088880 13249152 13525176 13610240 13961472 14491260 14721280 14958720 15311520 15457344 16332288 16561440 16906470 17451840 17498880 17665536 18033568 18927360 19321680 19944960 20287764 20415360 20609792 20942208 22081920 22541960 23186016 23269120 24498432 25359705 25762240 26177760 26498304 27050352 27220480 27922944 28982520 29442560 29917440 30623040 30914688 33122880 33812940 34903680 34997760 36067136 37854720 38643360 40575528 40830720 41219584 41884416 44163840 45083920 46372032 46538240 48996864 50719410 51524480 52355520 52996608 54100704 57965040 59834880 61246080 61829376 66245760 67625880 69807360 72134272 77286720 81151056 81661440 83768832 88327680 90167840 92744064 101438820 103048960 104711040 108201408 115930080 122492160 123658752 132491520 135251760 139614720 144268544 154573440 162302112 180335680 185488128 202877640 206097920 209422080 216402816 231860160 244984320 264983040 270503520 288537088 309146880 324604224 360671360 370976256 405755280 418844160 432805632 463720320 541007040 618293760 649208448 721342720 811510560 865611264 927440640 1082014080 1298416896 1442685440 1623021120 1854881280 2164028160 2596833792 3246042240 4328056320 6492084480 12984168960
• Sum of all divisors σ(n): 55153612800
• Sum of proper divisors (its aliquot sum) s(n): 42169443840
• 12984168960 is an abundant number, because the sum of its proper divisors (42169443840) is greater than itself. Its abundance is 29185274880

Bases of 12984168960

• Binary: 1100000101111010101011001000000000₂
• Hexadecimal: 0x305EAB200
• Base-36: 5YQFSW0

Squares and roots of 12984168960

• 12984168960 squared (12984168960²) is 168588643581827481600
• 12984168960 cubed (12984168960³) is 2188983433003667606665691136000
• The square root of 12984168960 is 113948.0976585393
• The cube root of 12984168960 is 2350.3798365957

Scales and comparisons

• 12,984,168,960 seconds is equal to 412 years, 44 weeks, 3 days, 17 hours, 36 minutes.
• To count from 1 to 12,984,168,960 would take you about eight hundred twenty-five 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 12984168960 cubic inches would be around 195.9 feet tall.

Recreational maths with 12984168960

• 12984168960 backwards is 06986148921
• The number of decimal digits it has is: 11
• The sum of 12984168960's digits is 54
• More coming soon!