137149956216
137,149,956,216 is an even composite number composed of seven prime numbers multiplied together.
137149956216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137149956216:
23 × 35 × 7 × 13 × 31 × 89 × 281
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 31 × 89 × 281)See below for interesting mathematical facts about the number 137149956216 from the Numbermatics database.
Names of 137149956216
- Cardinal: 137149956216 can be written as One hundred thirty-seven billion, one hundred forty-nine million, nine hundred fifty-six thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.37149956216 × 1011
Factors of 137149956216
Divisors of 137149956216
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 31 36 39 42 52 54 56 62 63 72 78 81 84 89 91 93 104 108 117 124 126 156 162 168 178 182 186 189 216 217 234 243 248 252 267 273 279 281 312 324 351 356 364 372 378 403 434 468 486 504 534 546 558 562 567 623 648 651 702 712 728 744 756 801 806 819 837 843 868 936 972 1053 1068 1092 1116 1124 1134 1157 1209 1246 1302 1404 1512 1602 1612 1638 1674 1686 1701 1736 1869 1944 1953 1967 2106 2136 2184 2232 2248 2268 2314 2403 2418 2457 2492 2511 2529 2604 2759 2808 2821 3159 3204 3224 3276 3348 3372 3402 3471 3627 3653 3738 3906 3934 4212 4536 4628 4806 4836 4914 4984 5022 5058 5208 5518 5607 5642 5859 5901 6318 6408 6552 6696 6744 6804 6942 7209 7254 7306 7371 7476 7533 7587 7812 7868 8099 8277 8424 8463 8711 9256 9612 9672 9828 10044 10116 10413 10881 10959 11036 11214 11284 11718 11802 12636 13608 13884 14418 14508 14612 14742 14952 15066 15174 15624 15736 16198 16554 16821 16926 17422 17577 17703 19224 19313 19656 20088 20232 20826 21627 21762 21918 22072 22113 22428 22568 22761 23436 23604 24297 24831 25009 25272 25389 25571 26133 27768 28836 29016 29224 29484 30132 30348 31239 32396 32643 32877 33108 33642 33852 34844 35154 35406 35867 38626 41652 43254 43524 43836 44226 44856 45522 46872 47208 48594 49662 50018 50463 50778 51142 52266 52731 53109 57672 57939 58968 60264 60696 60977 62478 64792 65286 65754 66216 67284 67704 68283 69688 70308 70812 71734 72891 74493 75027 76167 76713 77252 78399 83304 86508 87048 87672 88452 91044 93717 97188 97929 98631 99324 100036 100926 101556 102284 104532 105462 106218 107601 113243 115878 121954 124956 130572 131508 134568 136566 140616 141624 143468 145782 148986 150054 151389 152334 153426 154504 156798 159327 173016 173817 175063 176904 182088 182931 187434 194376 195858 197262 198648 200072 201852 203112 204568 209064 210924 212436 215202 218673 223479 225081 226486 228501 230139 231756 235197 243908 249912 251069 261144 263016 273132 281151 286936 291564 295893 297972 300108 302778 304668 306852 313596 318654 322803 325117 339729 347634 350126 365862 374868 391716 394524 403704 421848 424872 430404 437346 446958 450162 452972 457002 460278 463512 470394 477981 487816 502138 521451 525189 546264 548793 562302 583128 591786 595944 600216 605556 609336 613704 627192 637308 645606 650234 656019 670437 675243 679458 685503 690417 695268 700252 705591 731724 749736 753207 775279 783432 789048 792701 860808 874692 887679 893916 900324 905944 914004 920556 940788 955962 968409 975351 1004276 1019187 1042902 1050378 1097586 1124604 1183572 1211112 1274616 1291212 1300468 1312038 1340874 1350486 1358916 1371006 1380834 1390536 1400504 1411182 1463448 1506414 1550558 1564353 1575567 1585402 1646379 1749384 1775358 1787832 1800648 1828008 1841112 1881576 1911924 1936818 1950702 1968057 2008552 2025729 2038374 2071251 2085804 2100756 2116773 2195172 2249208 2259621 2275819 2325837 2367144 2378103 2582424 2600936 2624076 2681748 2700972 2717832 2742012 2761668 2822364 2905227 2926053 3012828 3057561 3101116 3128706 3151134 3170804 3292758 3550716 3823848 3873636 3901404 3936114 4051458 4076748 4142502 4171608 4201512 4233546 4390344 4519242 4551638 4651674 4693059 4726701 4756206 4939137 5248152 5363496 5401944 5426953 5484024 5523336 5644728 5810454 5852106 6025656 6077187 6115122 6202232 6213753 6257412 6302268 6341608 6585516 6778863 6827457 6977511 7101432 7134309 7747272 7802808 7872228 8102916 8153496 8285004 8467092 8715681 8778159 9038484 9103276 9172683 9303348 9386118 9453402 9512412 9878274 10078627 10853906 11620908 11704212 12154374 12230244 12427506 12514824 12604536 13171032 13557726 13654914 13955022 14180103 14268618 14817411 15744456 16205832 16280859 16570008 16934184 17431362 17556318 18076968 18206552 18345366 18606696 18772236 18906804 19024824 19756548 20157254 20336589 20482371 20932533 21402927 21707812 23241816 23408424 24308748 24460488 24855012 26334477 27115452 27309828 27518049 27910044 28360206 28537236 29634822 30235881 32561718 34862724 35112636 36690732 37544472 37813608 39513096 40314508 40673178 40964742 41865066 42540309 42805854 43415624 48617496 48842577 49710024 52668954 54230904 54619656 55036098 55820088 56720412 57074472 59269644 60471762 61009767 61447113 62797599 64208781 65123436 69725448 70225272 70550389 73381464 79003431 80629016 81346356 81929484 83730132 85080618 85611708 90707643 97685154 105337908 110072196 113440824 118539288 120943524 122019534 122894226 125595198 128417562 130246872 141100778 146527731 158006862 162692712 163858968 167460264 170161236 171223416 181415286 184341339 188392797 192626343 195370308 210675816 211651167 220144392 241887048 244039068 245788452 251190396 256835124 272122929 282201556 293055462 316013724 340322472 362830572 368682678 376785594 385252686 390740616 423302334 439583193 488078136 491576904 502380792 513670248 544245858 553024017 564403112 586110924 632027448 634953501 725661144 737365356 753571188 770505372 816368787 846604668 879166386 1088491716 1106048034 1172221848 1269907002 1318749579 1474730712 1507142376 1541010744 1632737574 1693209336 1758332772 1904860503 2176983432 2212096068 2449106361 2539814004 2637499158 3265475148 3516665544 3809721006 4424192136 4898212722 5079628008 5274998316 5714581509 6530950296 7619442012 9796425444 10549996632 11429163018 15238884024 17143744527 19592850888 22858326036 34287489054 45716652072 68574978108 137149956216
- Sum of all divisors σ(n): 496652083200
- Sum of proper divisors (its aliquot sum) s(n): 359502126984
- 137149956216 is an abundant number, because the sum of its proper divisors (359502126984) is greater than itself. Its abundance is 222352170768
Bases of 137149956216
- Binary: 11111111011101100011001000000011110002
- Hexadecimal: 0x1FEEC64078
- Base-36: 1R07JJI0
Squares and roots of 137149956216
- 137149956216 squared (1371499562162) is 18810110490050717038656
- 137149956216 cubed (1371499562163) is 2579805830128578145471075579485696
-
The
square root of 137149956216 is 370337.6246292023 -
The
cube root of 137149956216 is 5157.0169372239
Scales and comparisons
How big is 137149956216?- 137,149,956,216 seconds is equal to 4,360 years, 49 weeks, 18 hours, 3 minutes, 36 seconds.
-
To count from 1 to 137,149,956,216 would take you about eight thousand, seven hundred twenty-one 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 137149956216 cubic inches would be around 429.8 feet tall.
Recreational maths with 137149956216
- 137149956216 backwards is 612659941731
- 137149956216 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137149956216's digits is 54
- More coming soon!
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