345735516672

Names of 345735516672

• Cardinal: 345735516672 can be written as Three hundred forty-five billion, seven hundred thirty-five million, five hundred sixteen thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 3.45735516672 × 10¹¹

Factors of 345735516672

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 54

Divisors of 345735516672

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 32 36 39 42 48 52 54 56 58 63 64 72 78 81 84 87 91 96 104 108 112 116 117 126 128 144 156 162 168 169 174 182 189 192 203 208 216 224 232 234 243 252 256 261 273 288 312 324 336 338 348 351 364 377 378 384 406 416 432 448 464 468 486 504 507 512 522 546 567 576 609 624 648 672 676 696 702 728 729 754 756 768 783 812 819 832 864 896 928 936 972 1008 1014 1044 1053 1092 1131 1134 1152 1183 1218 1248 1296 1344 1352 1392 1404 1456 1458 1508 1512 1521 1536 1566 1624 1638 1664 1701 1728 1792 1827 1856 1872 1944 2016 2028 2088 2106 2184 2187 2262 2268 2304 2349 2366 2436 2457 2496 2592 2639 2688 2704 2784 2808 2912 2916 3016 3024 3042 3132 3159 3248 3276 3328 3393 3402 3456 3549 3584 3654 3712 3744 3888 4032 4056 4176 4212 4368 4374 4524 4536 4563 4608 4698 4732 4872 4901 4914 4992 5103 5184 5278 5376 5408 5481 5568 5616 5824 5832 6032 6048 6084 6264 6318 6496 6552 6561 6656 6786 6804 6912 7047 7098 7308 7371 7424 7488 7776 7917 8064 8112 8352 8424 8736 8748 9048 9072 9126 9396 9464 9477 9744 9802 9828 9984 10179 10206 10368 10556 10647 10752 10816 10962 11136 11232 11648 11664 12064 12096 12168 12528 12636 12992 13104 13122 13572 13608 13689 13824 14094 14196 14616 14703 14742 14848 14976 15309 15552 15834 16128 16224 16443 16704 16848 17472 17496 18096 18144 18252 18792 18928 18954 19488 19604 19656 19683 19968 20358 20412 20736 21112 21141 21294 21632 21924 22113 22272 22464 23296 23328 23751 24128 24192 24336 25056 25272 25984 26208 26244 27144 27216 27378 28188 28392 28431 29232 29406 29484 29952 30537 30618 31104 31668 31941 32256 32448 32886 33408 33696 34307 34944 34992 36192 36288 36504 37584 37856 37908 38976 39208 39312 39366 40716 40824 41067 41472 42224 42282 42588 43264 43848 44109 44226 44544 44928 45927 46592 46656 47502 48256 48384 48672 49329 50112 50544 51968 52416 52488 54288 54432 54756 56376 56784 56862 58464 58812 58968 59904 61074 61236 62208 63336 63423 63882 64896 65772 66339 66816 67392 68614 69888 69984 71253 72384 72576 73008 75168 75712 75816 77952 78416 78624 78732 81432 81648 82134 84448 84564 85176 85293 86528 87696 88218 88452 89856 91611 91854 93312 95004 95823 96512 96768 97344 98658 100224 101088 102921 103936 104832 104976 108576 108864 109512 112752 113568 113724 116928 117624 117936 122148 122472 123201 124416 126672 126846 127764 129792 131544 132327 132678 133632 134784 137228 137781 139776 139968 142506 144768 145152 146016 147987 150336 151424 151632 155904 156832 157248 157464 162864 163296 164268 168896 169128 170352 170586 175392 176436 176904 179712 183222 183708 186624 190008 190269 191646 193024 194688 197316 199017 200448 202176 205842 209664 209952 213759 217152 217728 219024 225504 227136 227448 233856 235248 235872 244296 244944 246402 253344 253692 255528 255879 259584 263088 264654 265356 269568 274456 274833 275562 279936 285012 287469 289536 290304 292032 295974 300672 302848 303264 308763 311808 313664 314496 314928 325728 326592 328536 337792 338256 340704 341172 350784 352872 353808 366444 367416 369603 373248 380016 380538 383292 389376 394632 396981 398034 400896 404352 411684 419328 419904 427518 434304 435456 438048 443961 451008 454272 454896 467712 470496 471744 488592 489888 492804 506688 507384 511056 511758 526176 529308 530712 539136 548912 549666 551124 559872 570024 570807 574938 579072 584064 591948 597051 601344 605696 606528 617526 627328 628992 629856 641277 651456 653184 657072 675584 676512 681408 682344 701568 705744 707616 732888 734832 739206 760032 761076 766584 778752 789264 793962 796068 808704 823368 824499 839808 855036 862407 868608 870912 876096 887922 902016 908544 909792 926289 935424 940992 943488 977184 979776 985608 1013376 1014768 1022112 1023516 1052352 1058616 1061424 1097824 1099332 1102248 1108809 1119744 1140048 1141614 1149876 1168128 1183896 1190943 1194102 1202688 1213056 1235052 1254656 1257984 1259712 1282554 1302912 1306368 1314144 1331883 1351168 1353024 1362816 1364688 1403136 1411488 1415232 1465776 1469664 1478412 1520064 1522152 1533168 1578528 1587924 1592136 1617408 1646736 1648998 1679616 1710072 1724814 1737216 1752192 1775844 1791153 1804032 1817088 1819584 1852578 1881984 1886976 1923831 1954368 1959552 1971216 2026752 2029536 2044224 2047032 2104704 2117232 2122848 2195648 2198664 2204496 2217618 2280096 2283228 2299752 2336256 2367792 2381886 2388204 2426112 2470104 2473497 2509312 2519424 2565108 2587221 2605824 2612736 2628288 2663766 2706048 2725632 2729376 2778867 2806272 2822976 2830464 2931552 2939328 2956824 3040128 3044304 3066336 3157056 3175848 3184272 3293472 3297996 3326427 3359232 3420144 3449628 3504384 3551688 3572829 3582306 3608064 3639168 3705156 3763968 3773952 3847662 3908736 3919104 3942432 3995649 4053504 4059072 4088448 4094064 4209408 4234464 4245696 4391296 4397328 4408992 4435236 4560192 4566456 4599504 4735584 4763772 4776408 4852224 4940208 4946994 5038848 5130216 5174442 5211648 5256576 5327532 5412096 5451264 5458752 5557734 5645952 5660928 5771493 5863104 5878656 5913648 6080256 6088608 6132672 6314112 6351696 6368544 6586944 6595992 6652854 6840288 6899256 7008768 7103376 7145658 7164612 7278336 7410312 7420491 7527936 7695324 7761663 7817472 7838208 7884864 7991298 8118144 8176896 8188128 8336601 8418816 8468928 8491392 8782592 8794656 8817984 8870472 9120384 9132912 9199008 9471168 9527544 9552816 9880416 9893988 10077696 10260432 10348884 10513152 10655064 10718487 10824192 10917504 11115468 11291904 11321856 11542986 11726208 11757312 11827296 12160512 12177216 12265344 12628224 12703392 12737088 13173888 13191984 13305708 13680576 13798512 14206752 14291316 14329224 14556672 14820624 14840982 15390648 15523326 15634944 15769728 15982596 16236288 16353792 16376256 16673202 16937856 16982784 17314479 17565184 17589312 17635968 17740944 18240768 18265824 18398016 18942336 19055088 19105632 19760832 19787976 20520864 20697768 21026304 21310128 21436974 21835008 22230936 22583808 23085972 23284989 23452416 23514624 23654592 24354432 24530688 25009803 25256448 25406784 25474176 26347776 26383968 26611416 27361152 27597024 28413504 28582632 28658448 29641248 29681964 30781296 31046652 31539456 31965192 32155461 32472576 32752512 33346404 33875712 33965568 34628958 35178624 35271936 35481888 36481536 36531648 36796032 37884672 38110176 38211264 39521664 39575952 41041728 41395536 42620256 42873948 43670016 44461872 46171944 46569978 46904832 47309184 48708864 49061376 50019606 50813568 50948352 51943437 52695552 52767936 53222832 54722304 55194048 56827008 57165264 57316896 59282496 59363928 61562592 62093304 63078912 63930384 64310922 65505024 66692808 67751424 69257916 70357248 70543872 70963776 73063296 73592064 75029409 75769344 76220352 76422528 79043328 79151904 82083456 82791072 85240512 85747896 88923744 92343888 93139956 94618368 96466383 97417728 100039212 101627136 101896704 103886874 105535872 106445664 109444608 110388096 113654016 114330528 114633792 118564992 118727856 123125184 124186608 127860768 128621844 131010048 133385616 138515832 140714496 141927552 146126592 147184128 150058818 152440704 152845056 158086656 158303808 164166912 165582144 170481024 171495792 177847488 184687776 186279912 189236736 192932766 200078424 203254272 207773748 211071744 212891328 220776192 225088227 227308032 228661056 229267584 237129984 237455712 246250368 248373216 255721536 257243688 266771232 277031664 283855104 292253184 300117636 304881408 305690112 316607616 328333824 331164288 340962048 342991584 355694976 369375552 372559824 385865532 400156848 415547496 422143488 425782656 441552384 450176454 457322112 458535168 474259968 474911424 492500736 496746432 511443072 514487376 533542464 554063328 567710208 600235272 609762816 633215232 662328576 675264681 681924096 685983168 711389952 738751104 745119648 771731064 800313696 831094992 851565312 900352908 914644224 917070336 949822848 985001472 993492864 1022886144 1028974752 1067084928 1108126656 1200470544 1266430464 1324657152 1350529362 1371966336 1422779904 1477502208 1490239296 1543462128 1600627392 1662189984 1703130624 1800705816 1829288448 1899645696 1986985728 2045772288 2057949504 2134169856 2216253312 2400941088 2701058724 2743932672 2955004416 2980478592 3086924256 3201254784 3324379968 3601411632 3799291392 3973971456 4115899008 4268339712 4432506624 4801882176 5402117448 5487865344 5960957184 6173848512 6402509568 6648759936 7202823264 8231798016 8865013248 9603764352 10804234896 11921914368 12347697024 12805019136 13297519872 14405646528 16463596032 19207528704 21608469792 24695394048 26595039744 28811293056 38415057408 43216939584 49390788096 57622586112 86433879168 115245172224 172867758336 345735516672
• Sum of all divisors σ(n): 1326518043840
• Sum of proper divisors (its aliquot sum) s(n): 980782527168
• 345735516672 is an abundant number, because the sum of its proper divisors (980782527168) is greater than itself. Its abundance is 635047010496

Bases of 345735516672

• Binary: 101000001111111011100010101001000000000₂
• Hexadecimal: 0x507F715200
• Base-36: 4ETU0000

Squares and roots of 345735516672

• 345735516672 squared (345735516672²) is 119533047488454789955584
• 345735516672 cubed (345735516672³) is 41326819932799628760207070171496448
• The square root of 345735516672 is 587992.7862414639
• The cube root of 345735516672 is 7018.5597045143

Scales and comparisons

• 345,735,516,672 seconds is equal to 10,993 years, 16 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 345,735,516,672 would take you about twenty-one thousand, nine hundred eighty-six 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 345735516672 cubic inches would be around 584.9 feet tall.

Recreational maths with 345735516672

• 345735516672 backwards is 276615537543
• 345735516672 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 345735516672's digits is 54
• More coming soon!