138464153352
138,464,153,352 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138464153352 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138464153352 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138464153352:
23 × 34 × 72 × 31 × 41 × 47 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 31 × 41 × 47 × 73)See below for interesting mathematical facts about the number 138464153352 from the Numbermatics database.
Names of 138464153352
- Cardinal: 138464153352 can be written as One hundred thirty-eight billion, four hundred sixty-four million, one hundred fifty-three thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.38464153352 × 1011
Factors of 138464153352
Divisors of 138464153352
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 41 42 47 49 54 56 62 63 72 73 81 82 84 93 94 98 108 123 124 126 141 146 147 162 164 168 186 188 189 196 216 217 219 246 248 252 279 282 287 292 294 324 328 329 369 372 376 378 392 423 434 438 441 492 504 511 558 564 567 574 584 588 648 651 657 658 738 744 756 837 846 861 868 876 882 984 987 1022 1107 1116 1128 1134 1148 1176 1269 1271 1302 1314 1316 1323 1457 1476 1512 1519 1533 1674 1692 1722 1736 1752 1764 1927 1953 1971 1974 2009 2044 2214 2232 2263 2268 2296 2303 2511 2538 2542 2583 2604 2628 2632 2646 2914 2952 2961 2993 3038 3066 3321 3348 3384 3431 3444 3528 3577 3807 3813 3854 3906 3942 3948 3969 4018 4088 4371 4428 4526 4536 4557 4599 4606 5022 5076 5084 5166 5208 5256 5292 5781 5828 5859 5913 5922 5986 6027 6076 6132 6642 6696 6789 6862 6888 6909 7154 7614 7626 7708 7749 7812 7884 7896 7938 8036 8742 8856 8883 8897 8979 9052 9114 9198 9212 10044 10152 10168 10199 10293 10332 10584 10731 11439 11562 11656 11718 11826 11844 11972 12054 12152 12264 13113 13284 13489 13578 13671 13724 13797 13818 14308 15228 15252 15416 15498 15624 15768 15841 15876 16072 17343 17484 17577 17766 17794 17958 18081 18104 18228 18396 18424 20088 20367 20398 20586 20664 20727 20951 21462 22878 23124 23247 23436 23652 23688 23944 24017 24108 26226 26568 26649 26691 26937 26978 27156 27342 27448 27594 27636 28616 30456 30504 30597 30879 30996 31682 31752 32193 34317 34686 34968 35154 35532 35588 35916 36162 36456 36792 39339 40467 40734 40796 41013 41172 41391 41454 41902 42924 45756 46248 46494 46872 47304 47523 48034 48216 52029 52452 53298 53382 53874 53956 54243 54312 54684 55188 55272 59737 61101 61194 61758 61992 62181 62279 62853 63364 64386 68634 69372 70308 71064 71176 71393 71832 72051 72324 78678 80073 80811 80934 81468 81592 82026 82344 82782 82908 83804 85848 91512 91791 92637 92783 92988 94423 95046 96068 96579 102951 104058 104904 106361 106596 106764 107748 107912 108486 109368 110376 110887 118017 119474 121401 122202 122388 123039 123516 124362 124558 125706 126728 128772 137268 138744 140616 140671 142569 142786 144102 144648 146657 156087 157356 160146 161622 161868 162729 162936 164052 165564 165816 167608 168119 179211 183303 183582 185274 185566 185976 186543 186837 188559 188846 190092 192136 193158 205902 208116 212722 213192 213528 214179 215496 216153 216972 221774 236034 238948 240219 242433 242802 244404 244776 246078 247032 248724 249116 251412 257544 274536 275373 277911 278349 281342 283269 285138 285572 288204 289737 293314 312174 314712 319083 320292 323244 323736 325458 328104 331128 332661 336238 358422 364203 366606 367164 370548 371132 373086 373674 377118 377692 380184 386316 411804 416232 418159 422013 425444 427707 428358 432306 433944 439971 443548 472068 477896 480438 484866 485604 488808 492156 497448 498232 502824 504357 537633 550746 555822 556698 560511 562684 565677 566538 570276 571144 576408 579474 586628 624348 638166 640584 642537 646488 648459 649481 650916 665322 672476 716844 720657 728406 733212 734328 741096 742264 744527 746172 747348 754236 755384 772632 823608 826119 835047 836318 844026 849807 850888 855414 856716 864612 879942 887096 944136 957249 960876 969732 971208 984312 984697 997983 1008714 1075266 1092609 1101492 1111644 1113396 1121022 1125368 1131354 1133076 1140552 1158948 1173256 1248696 1254477 1266039 1276332 1283121 1285074 1296918 1298962 1301832 1319913 1330644 1344952 1433688 1441314 1456812 1466424 1489054 1492344 1494696 1508472 1513071 1612899 1652238 1670094 1672636 1681533 1688052 1697031 1699614 1710828 1713432 1729224 1759884 1914498 1921752 1927611 1939464 1945377 1948443 1969394 1995966 2017428 2150532 2185218 2202984 2223288 2226792 2233581 2242044 2262708 2266152 2317896 2505141 2508954 2532078 2549421 2552664 2566242 2570148 2593836 2597924 2639826 2661288 2871747 2882628 2913624 2927113 2954091 2978108 2993949 3026142 3225798 3304476 3340188 3345272 3363066 3376104 3394062 3399228 3421656 3519768 3763431 3798117 3828996 3855222 3890754 3896886 3938788 3959739 3991932 4034856 4301064 4360801 4370436 4467162 4484088 4525416 4539213 4546367 4838697 5010282 5017908 5044599 5064156 5098842 5132484 5140296 5187672 5195848 5211689 5279652 5743494 5765256 5782833 5845329 5854226 5908182 5956216 5987898 6052284 6451596 6608952 6680376 6700743 6726132 6788124 6798456 6892879 7515423 7526862 7596234 7648263 7657992 7710444 7781508 7793772 7877576 7919478 7983864 8615241 8721602 8740872 8781339 8862273 8934324 8981847 9078426 9092734 9677394 10020564 10035816 10089198 10128312 10197684 10264968 10423378 10559304 11290293 11394351 11486988 11565666 11690658 11708452 11816364 11879217 11975796 12104568 12903192 13082403 13401486 13452264 13576248 13617639 13639101 13785758 15030846 15053724 15192468 15296526 15420888 15563016 15587544 15635067 15838956 17230482 17443204 17535987 17562678 17724546 17868648 17963694 18156852 18185468 19354788 20041128 20102229 20178396 20395368 20678637 20846756 22580586 22788702 22973976 23131332 23381316 23416904 23632728 23758434 23951592 26164806 26344017 26586819 26802972 27235278 27278202 27571516 30061692 30107448 30384936 30525607 30593052 31270134 31677912 33870879 34460964 34886408 35071974 35125356 35449092 35927388 36313704 36370936 38709576 39247209 40204458 40356792 40917303 41357274 41693512 45161172 45577404 46262664 46762632 46905201 47516868 52329612 52607961 52688034 53173638 53605944 54470556 54556404 55143032 60123384 60306687 61051214 61186104 62035911 62540268 67741758 68921928 70143948 70250712 70898184 71854776 78494418 79032051 79760457 80408916 81834606 82714548 90322344 91154808 91576821 93810402 95033736 104659224 105215922 105376068 106347276 108941112 109112808 117741627 120613374 122102428 122751909 124071822 125080536 135483516 140287896 140715603 156988836 158064102 159520914 160817832 163669212 165429096 183153642 186107733 187620804 210431844 210752136 212694552 213679249 235483254 237096153 241226748 244204856 245503818 248143644 270967032 274730463 281431206 313977672 316128204 319041828 327338424 353224881 366307284 368255727 372215466 375241608 420863688 422146809 427358498 470966508 474192306 482453496 491007636 496287288 549460926 558323199 562862412 632256408 638083656 641037747 706449762 732614568 736511454 744430932 824191389 844293618 854716996 941933016 948384612 982015272 1098921852 1116646398 1125724824 1282075494 1412899524 1473022908 1488861864 1648382778 1688587236 1709433992 1896769224 1923113241 2197843704 2233292796 2472574167 2564150988 2825799048 2946045816 3296765556 3377174472 3846226482 4466585592 4945148334 5128301976 5769339723 6593531112 7692452964 9890296668 11538679446 15384905928 17308019169 19780593336 23077358892 34616038338 46154717784 69232076676 138464153352
- Sum of all divisors σ(n): 493882583040
- Sum of proper divisors (its aliquot sum) s(n): 355418429688
- 138464153352 is an abundant number, because the sum of its proper divisors (355418429688) is greater than itself. Its abundance is 216954276336
Bases of 138464153352
- Binary: 100000001111010001101101001111000010002
- Hexadecimal: 0x203D1B4F08
- Base-36: 1RLXZCI0
Squares and roots of 138464153352
- 138464153352 squared (1384641533522) is 19172321763486172835904
- 138464153352 cubed (1384641533523) is 2654679300773236509682188187550208
-
The
square root of 138464153352 is 372107.7174045171 -
The
cube root of 138464153352 is 5173.4364445909
Scales and comparisons
How big is 138464153352?- 138,464,153,352 seconds is equal to 4,402 years, 38 weeks, 8 hours, 49 minutes, 12 seconds.
-
To count from 1 to 138,464,153,352 would take you about eight thousand, eight hundred 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 138464153352 cubic inches would be around 431.1 feet tall.
Recreational maths with 138464153352
- 138464153352 backwards is 253351464831
- The number of decimal digits it has is: 12
- The sum of 138464153352's digits is 45
- More coming soon!
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The information we have on file for 138464153352 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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