990406699728768

Names of 990406699728768

• Cardinal: 990406699728768 can be written as Nine hundred ninety trillion, four hundred six billion, six hundred ninety-nine million, seven hundred twenty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 9.90406699728768 × 10¹⁴

Factors of 990406699728768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2984439

Divisors of 990406699728768

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 81 84 96 102 108 112 119 126 128 136 144 153 162 168 189 192 204 216 224 238 252 269 272 288 306 324 336 357 378 384 408 432 448 459 476 504 538 544 567 576 612 648 672 714 756 807 816 864 896 918 952 1008 1071 1076 1088 1134 1152 1224 1296 1344 1377 1428 1512 1614 1632 1728 1836 1883 1904 2016 2142 2152 2176 2268 2421 2448 2592 2688 2754 2856 3024 3213 3228 3264 3456 3672 3766 3808 4032 4284 4304 4536 4573 4842 4896 5184 5508 5649 5712 6048 6426 6456 6528 7263 7344 7532 7616 8064 8568 8608 9072 9146 9639 9684 9792 10368 11016 11298 11424 12096 12852 12912 13719 14526 14688 15064 15232 16947 17136 17216 18144 18292 19278 19368 19584 21789 22032 22596 22848 24192 25704 25824 27438 29052 29376 30128 32011 33894 34272 34432 36288 36584 38556 38736 41157 43578 44064 45192 45696 50841 51408 51648 54876 58104 58752 60256 64022 67788 68544 72576 73168 77112 77472 82314 87156 88128 90384 96033 101682 102816 103296 109752 116208 120512 123471 128044 135576 137088 146336 152523 154224 154944 164628 174312 176256 180768 192066 203364 205632 219504 232416 241024 246942 256088 271152 288099 292672 305046 308448 309888 329256 348624 361536 370413 384132 406728 411264 439008 464832 493884 512176 542304 576198 585344 610092 616896 658512 697248 723072 740826 768264 813456 864297 878016 929664 987768 1024352 1084608 1152396 1220184 1233792 1317024 1394496 1481652 1536528 1626912 1728594 1756032 1975536 2048704 2169216 2304792 2440368 2592891 2634048 2788992 2963304 2984141 3073056 3253824 3457188 3951072 4097408 4609584 4880736 5185782 5268096 5926608 5968282 6146112 6507648 6914376 7902144 8952423 9219168 9761472 10371564 11853216 11936564 12292224 13828752 15804288 17904846 18438336 19522944 20743128 20888987 23706432 23873128 26857269 27657504 35809692 36876672 41486256 41777974 47412864 47746256 50730397 53714538 55315008 62666961 71619384 80571807 82972512 83555948 95492512 101460794 107429076 110630016 125333922 143238768 152191191 161143614 165945024 167111896 188000883 190985024 202921588 214858152 241715421 250667844 286477536 304382382 322287228 331890048 334223792 355112779 376001766 381970048 405843176 429716304 456573573 483430842 501335688 564002649 572955072 608764764 644574456 668447584 710225558 752003532 802733929 811686352 859432608 913147146 966861684 1002671376 1065338337 1128005298 1145910144 1217529528 1289148912 1336895168 1369720719 1420451116 1504007064 1605467858 1623372704 1692007947 1718865216 1826294292 1933723368 2005342752 2130676674 2256010596 2408201787 2435059056 2578297824 2673790336 2739441438 2840902232 3008014128 3196015011 3210935716 3246745408 3384015894 3437730432 3652588584 3867446736 4010685504 4109162157 4261353348 4512021192 4816403574 4870118112 5156595648 5478882876 5619137503 5681804464 6016028256 6392030022 6421871432 6493490816 6768031788 7224605361 7305177168 7734893472 8021371008 8218324314 8522706696 9024042384 9588045033 9632807148 9740236224 10313191296 10957765752 11238275006 11363608928 12032056512 12784060044 12843742864 13536063576 13646476793 14449210722 14610354336 15469786944 16436648628 16857412509 17045413392 18048084768 19176090066 19265614296 19480472448 21673816083 21915531504 22476550012 22727217856 24064113024 25568120088 25687485728 27072127152 27292953586 28764135099 28898421444 29220708672 30939573888 32873297256 33714825018 34090826784 36096169536 38352180132 38531228592 40939430379 43347632166 43831063008 44953100024 45454435712 50572237527 51136240176 51374971456 54144254304 54585907172 57528270198 57796842888 58441417344 65021448249 65746594512 67429650036 68181653568 72192339072 76704360264 77062457184 81878860758 86695264332 87662126016 89906200048 95525337551 101144475054 102272480352 102749942912 108288508608 109171814344 115056540396 115593685776 122818291137 130042896498 131493189024 134859300072 136363307136 151716712581 153408720528 154124914368 163757721516 173390528664 175324252032 179812400096 191050675102 202288950108 204544960704 216577017216 218343628688 230113080792 231187371552 245636582274 260085792996 262986378048 269718600144 286576012653 303433425162 306817441056 308249828736 327515443032 346781057328 359624800192 368454873411 382101350204 404577900216 409089921408 436687257376 455150137743 460226161584 462374743104 491273164548 520171585992 525972756096 539437200288 573152025306 606866850324 613634882112 655030886064 693562114656 719249600384 736909746822 764202700408 809155800432 859728037959 873374514752 910300275486 920452323168 924749486208 982546329096 1040343171984 1078874400576 1105364620233 1146304050612 1213733700648 1227269764224 1310061772128 1387124229312 1473819493644 1528405400816 1618311600864 1719456075918 1746749029504 1820600550972 1840904646336 1965092658192 2080686343968 2157748801152 2210729240466 2292608101224 2427467401296 2579184113877 2620123544256 2774248458624 2947638987288 3056810801632 3236623201728 3438912151836 3641201101944 3681809292672 3930185316384 4161372687936 4421458480932 4585216202448 4854934802592 5158368227754 5240247088512 5895277974576 6113621603264 6473246403456 6877824303672 7282402203888 7737552341631 7860370632768 8322745375872 8842916961864 9170432404896 9709869605184 10316736455508 11790555949152 12227243206528 13755648607344 14564804407776 15475104683262 15720741265536 17685833923728 18340864809792 19419739210368 20633472911016 23581111898304 27511297214688 29129608815552 30950209366524 35371667847456 36681729619584 41266945822032 47162223796608 55022594429376 58259217631104 61900418733048 70743335694912 82533891644064 110045188858752 123800837466096 141486671389824 165067783288128 247601674932192 330135566576256 495203349864384 990406699728768
• Sum of all divisors σ(n): 3579903270820800
• Sum of proper divisors (its aliquot sum) s(n): 2589496571092032
• 990406699728768 is an abundant number, because the sum of its proper divisors (2589496571092032) is greater than itself. Its abundance is 1599089871363264

Bases of 990406699728768

• Binary: 11100001001100010100000111100001010011111110000000₂
• Hexadecimal: 0x384C507853F80
• Base-36: 9R2IK1H400

Squares and roots of 990406699728768

• 990406699728768 squared (990406699728768²) is 980905430867630019964766797824
• 990406699728768 cubed (990406699728768³) is 971495310531634643069149774927351392692600832
• The square root of 990406699728768 is 31470727.6644307671
• The cube root of 990406699728768 is 99679.1952680597

Scales and comparisons

• 990,406,699,728,768 seconds is equal to 31,491,869 years, 27 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 990,406,699,728,768 would take you about seventy-eight million, seven hundred twenty-nine thousand, six hundred seventy-three 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 990406699728768 cubic inches would be around 8306.6 feet tall.

Recreational maths with 990406699728768

• 990406699728768 backwards is 867827996604099
• The number of decimal digits it has is: 15
• The sum of 990406699728768's digits is 90
• More coming soon!