138648000960
138,648,000,960 is an even composite number composed of seven prime numbers multiplied together.
138648000960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138648000960:
26 × 32 × 5 × 72 × 31 × 41 × 773
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 31 × 41 × 773)See below for interesting mathematical facts about the number 138648000960 from the Numbermatics database.
Names of 138648000960
- Cardinal: 138648000960 can be written as One hundred thirty-eight billion, six hundred forty-eight million, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3864800096 × 1011
Factors of 138648000960
Divisors of 138648000960
- Number of divisors d(n): 1008
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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 41 42 45 48 49 56 60 62 63 64 70 72 80 82 84 90 93 96 98 105 112 120 123 124 126 140 144 147 155 160 164 168 180 186 192 196 205 210 217 224 240 245 246 248 252 279 280 287 288 294 310 315 320 328 336 360 369 372 392 410 420 434 441 448 465 480 490 492 496 504 558 560 574 576 588 615 620 630 651 656 672 720 735 738 744 773 784 820 840 861 868 882 930 960 980 984 992 1008 1085 1116 1120 1148 1176 1230 1240 1260 1271 1302 1312 1344 1395 1435 1440 1470 1476 1488 1519 1546 1568 1640 1680 1722 1736 1764 1845 1860 1953 1960 1968 1984 2009 2016 2170 2205 2232 2240 2296 2319 2352 2460 2480 2520 2542 2583 2604 2624 2790 2870 2880 2940 2952 2976 3038 3092 3136 3255 3280 3360 3444 3472 3528 3690 3720 3813 3865 3906 3920 3936 4018 4032 4305 4340 4410 4464 4557 4592 4638 4704 4920 4960 5040 5084 5166 5208 5411 5580 5740 5880 5904 5952 6027 6076 6184 6355 6510 6560 6720 6888 6944 6957 7056 7380 7440 7595 7626 7730 7812 7840 7872 8036 8610 8680 8820 8897 8928 9114 9184 9276 9408 9765 9840 9920 10045 10080 10168 10332 10416 10822 11160 11439 11480 11595 11760 11808 12054 12152 12368 12710 12915 13020 13120 13671 13776 13888 13914 14112 14760 14880 15190 15252 15460 15624 15680 16072 16233 17220 17360 17640 17794 17856 18081 18228 18368 18552 19065 19530 19680 20090 20160 20336 20664 20832 21644 22320 22785 22878 22960 23190 23520 23616 23963 24108 24304 24736 25420 25830 26040 26691 27055 27342 27552 27828 28224 29520 29760 30135 30380 30504 30920 31248 31693 32144 32466 34440 34720 34785 35280 35588 36162 36456 37104 37877 38130 39060 39360 40180 40672 41328 41664 43288 44485 44640 45570 45756 45920 46380 47040 47926 48216 48608 48699 49472 50840 51660 52080 53382 54110 54684 55104 55656 57195 59040 60270 60760 61008 61840 62279 62496 63386 64288 64932 68355 68880 69440 69570 70560 71176 71889 72324 72912 74208 75754 76260 78120 80073 80360 81165 81344 82656 86576 88970 89280 90405 91140 91512 91840 92760 95079 95852 96432 97216 97398 101680 103320 104160 106764 108220 109368 111312 113631 114390 118080 119815 120540 121520 122016 123680 124558 124992 126772 128576 129864 133455 136710 137760 139140 141120 142352 143778 144648 145824 148416 151508 152520 156240 158465 160146 160720 162330 165312 167741 173152 177940 180810 182280 183024 185520 186837 189385 190158 191704 192864 194796 203360 206640 208320 213528 215667 216440 218736 221851 222624 227262 228780 239630 241080 243040 243495 244032 247360 249116 253544 259728 266910 273420 275520 278280 284704 285237 287556 289296 291648 303016 305040 311395 312480 316930 320292 321440 324660 335482 340893 346304 355880 359445 361620 364560 366048 371040 373674 378770 380316 383408 385728 389592 400365 406720 413280 427056 431334 432880 437472 443702 445248 454524 457560 475395 479260 482160 486080 486990 498232 503223 507088 519456 533820 546840 556560 560511 568155 569408 570474 575112 578592 606032 610080 622790 624960 633860 640584 642880 649320 665553 670964 681786 711760 718890 723240 729120 732096 742080 747348 757540 760632 766816 779184 800730 826560 838705 854112 862668 865760 874944 887404 909048 915120 934185 950790 958520 964320 973980 982483 996464 1006446 1014176 1038912 1067640 1078335 1093680 1109255 1113120 1121022 1136310 1140948 1150224 1157184 1174187 1212064 1220160 1245580 1267720 1281168 1298640 1331106 1341928 1363572 1423520 1426185 1437780 1446480 1458240 1494696 1509669 1515080 1521264 1533632 1552957 1558368 1601460 1677410 1704465 1708224 1725336 1731520 1774808 1818096 1830240 1868370 1901580 1917040 1928640 1947960 1964966 1992928 1996659 2012892 2028352 2135280 2156670 2187360 2218510 2226240 2242044 2272620 2281896 2300448 2348374 2424128 2491160 2516115 2535440 2562336 2597280 2662212 2683856 2727144 2802555 2847040 2852370 2875560 2892960 2947449 2989392 3019338 3030160 3042528 3105914 3116736 3202920 3327765 3354820 3408930 3450672 3522561 3549616 3636192 3660480 3736740 3803160 3834080 3895920 3929932 3985856 3993318 4025784 4270560 4313340 4374720 4437020 4484088 4545240 4563792 4600896 4658871 4696748 4912415 4982320 5032230 5070880 5124672 5194560 5324424 5367712 5454288 5605110 5704740 5751120 5785920 5870935 5894898 5978784 6038676 6060320 6085056 6211828 6405840 6655530 6709640 6817860 6877381 6901344 7045122 7099232 7272384 7473480 7548345 7606320 7668160 7764785 7791840 7859864 7986636 8051568 8541120 8626680 8842347 8874040 8968176 9090480 9127584 9317742 9393496 9824830 9964640 9983295 10064460 10141760 10567683 10648848 10735424 10908576 11210220 11409480 11502240 11741870 11789796 11957568 12077352 12120640 12423656 12811680 13311060 13419280 13635720 13754762 13802688 13976613 14090244 14198464 14737245 14946960 15096690 15212640 15529570 15583680 15719728 15973272 16103136 17253360 17612805 17684694 17748080 17936352 18180960 18255168 18635484 18786992 19649660 19929280 19966590 20128920 20632143 21135366 21297696 21817152 22420440 22818960 23004480 23294355 23483740 23579592 24154704 24847312 25623360 26622120 26838560 27271440 27509524 27953226 28180488 29474490 29893920 30193380 30425280 31059140 31439456 31946544 32206272 34386905 34506720 35225610 35369388 35496160 35872704 36361920 37270968 37573984 39299320 39933180 40257840 41264286 42270732 42595392 44211735 44840880 45637920 46588710 46967480 47159184 48141667 48309408 49694624 52838415 53244240 53677120 54542880 55019048 55906452 56360976 58948980 59787840 60386760 61896429 62118280 62878912 63893088 68773810 69013440 69883065 70451220 70738776 70992320 74541936 75147968 78598640 79866360 80515680 82528572 84541464 88423470 89681760 91275840 93177420 93934960 94318368 96283334 96618816 99389248 103160715 105676830 106488480 109085760 110038096 111812904 112721952 117897960 120773520 123792858 124236560 127786176 137547620 139766130 140902440 141477552 144425001 149083872 157197280 159732720 161031360 165057144 169082928 176846940 179363520 186354840 187869920 188636736 192566668 206321430 211353660 212976960 220076192 223625808 225443904 235795920 240708335 241547040 247585716 248473120 275095240 279532260 281804880 282955104 288850002 298167744 309482145 314394560 319465440 330114288 338165856 353693880 372709680 375739840 385133336 412642860 422707320 433275003 440152384 447251616 471591840 481416670 483094080 495171432 496946240 550190480 559064520 563609760 565910208 577700004 618964290 638930880 660228576 676331712 707387760 722125005 745419360 770266672 825285720 845414640 866550006 894503232 943183680 962833340 990342864 1100380960 1118129040 1127219520 1155400008 1237928580 1320457152 1414775520 1444250010 1490838720 1540533344 1650571440 1690829280 1733100012 1925666680 1980685728 2166375015 2200761920 2236258080 2310800016 2475857160 2829551040 2888500020 3081066688 3301142880 3381658560 3466200024 3851333360 3961371456 4332750030 4472516160 4621600032 4951714320 5777000040 6602285760 6932400048 7702666720 8665500060 9243200064 9903428640 11554000080 13864800096 15405333440 17331000120 19806857280 23108000160 27729600192 34662000240 46216000320 69324000480 138648000960
- Sum of all divisors σ(n): 587372228352
- Sum of proper divisors (its aliquot sum) s(n): 448724227392
- 138648000960 is an abundant number, because the sum of its proper divisors (448724227392) is greater than itself. Its abundance is 310076226432
Bases of 138648000960
- Binary: 100000010010000001000010011001110000002
- Hexadecimal: 0x20481099C0
- Base-36: 1ROZFU80
Squares and roots of 138648000960
- 138648000960 squared (1386480009602) is 19223268170204160921600
- 138648000960 cubed (1386480009603) is 2665267703716803946853991284736000
-
The
square root of 138648000960 is 372354.6709254499 -
The
cube root of 138648000960 is 5175.7251314627
Scales and comparisons
How big is 138648000960?- 138,648,000,960 seconds is equal to 4,408 years, 30 weeks, 5 hours, 36 minutes.
-
To count from 1 to 138,648,000,960 would take you about eight thousand, eight hundred seventeen 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 138648000960 cubic inches would be around 431.3 feet tall.
Recreational maths with 138648000960
- 138648000960 backwards is 069000846831
- 138648000960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138648000960's digits is 45
- More coming soon!
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The information we have on file for 138648000960 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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