830428429470924800

Names of 830428429470924800

• Cardinal: 830428429470924800 can be written as Eight hundred thirty quadrillion, four hundred twenty-eight trillion, four hundred twenty-nine billion, four hundred seventy million, nine hundred twenty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 8.304284294709248 × 10¹⁷

Factors of 830428429470924800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 5689

Divisors of 830428429470924800

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 256 310 320 400 496 512 620 640 775 800 992 1024 1240 1280 1550 1600 1984 2048 2480 2560 3100 3200 3968 4096 4960 5120 5651 6200 6400 7936 8192 9920 10240 11302 12400 12800 15872 16384 19840 20480 22604 24800 25600 28255 31744 32768 39680 40960 45208 49600 51200 56510 63488 65536 79360 81920 90416 99200 102400 113020 126976 131072 141275 158720 163840 175181 180832 198400 204800 226040 253952 262144 282550 317440 327680 350362 361664 396800 409600 452080 507904 524288 565100 634880 655360 700724 723328 793600 819200 875905 904160 1015808 1048576 1130200 1269760 1310720 1401448 1446656 1587200 1638400 1751810 1808320 2031616 2097152 2260400 2539520 2621440 2802896 2893312 3174400 3276800 3503620 3616640 4063232 4194304 4379525 4520800 5079040 5242880 5605792 5786624 6348800 6553600 7007240 7233280 8126464 8388608 8759050 9041600 10158080 10485760 11211584 11573248 12697600 13107200 14014480 14466560 16252928 16777216 17518100 18083200 20316160 20971520 22423168 23146496 25395200 26214400 28028960 28933120 31933801 32505856 33554432 35036200 36166400 40632320 41943040 44846336 46292992 50790400 52428800 56057920 57866240 63867602 65011712 70072400 72332800 81264640 83886080 89692672 92585984 101580800 104857600 112115840 115732480 127735204 130023424 140144800 144665600 159669005 162529280 167772160 179385344 185171968 203161600 209715200 224231680 231464960 255470408 260046848 280289600 289331200 319338010 325058560 358770688 370343936 406323200 419430400 448463360 462929920 510940816 520093696 560579200 578662400 638676020 650117120 717541376 740687872 798345025 812646400 838860800 896926720 925859840 989947831 1021881632 1040187392 1121158400 1157324800 1277352040 1300234240 1435082752 1481375744 1596690050 1625292800 1793853440 1851719680 1979895662 2043763264 2242316800 2314649600 2554704080 2600468480 2870165504 2962751488 3193380100 3250585600 3587706880 3703439360 3959791324 4087526528 4484633600 4629299200 4949739155 5109408160 5200936960 5740331008 5925502976 6386760200 6501171200 7175413760 7406878720 7919582648 8175053056 8969267200 9258598400 9899478310 10218816320 11480662016 11851005952 12773520400 13002342400 14350827520 14813757440 15839165296 16350106112 17938534400 18517196800 19798956620 20437632640 22961324032 23702011904 24748695775 25547040800 26004684800 28701655040 29627514880 31678330592 32700212224 35877068800 37034393600 39597913240 40875265280 45922648064 47404023808 49497391550 51094081600 57403310080 59255029760 63356661184 65400424448 71754137600 74068787200 79195826480 81750530560 91845296128 94808047616 98994783100 102188163200 114806620160 118510059520 126713322368 130800848896 143508275200 148137574400 158391652960 163501061120 183690592256 189616095232 197989566200 204376326400 229613240320 237020119040 253426644736 261601697792 287016550400 296275148800 316783305920 327002122240 367381184512 395979132400 408752652800 459226480640 474040238080 506853289472 523203395584 574033100800 592550297600 633566611840 654004244480 734762369024 791958264800 817505305600 918452961280 948080476160 1013706578944 1046406791168 1148066201600 1185100595200 1267133223680 1308008488960 1469524738048 1583916529600 1635010611200 1836905922560 2027413157888 2092813582336 2296132403200 2370201190400 2534266447360 2616016977920 2939049476096 3167833059200 3270021222400 3673811845120 4054826315776 4185627164672 4592264806400 4740402380800 5068532894720 5232033955840 5878098952192 6335666118400 6540042444800 7347623690240 8109652631552 8371254329344 9184529612800 10137065789440 10464067911680 12671332236800 13080084889600 14695247380480 16219305263104 16742508658688 18369059225600 20274131578880 20928135823360 25342664473600 26160169779200 29390494760960 32438610526208 33485017317376 36738118451200 40548263157760 41856271646720 50685328947200 52320339558400 64877221052416 66970034634752 73476236902400 81096526315520 83712543293440 101370657894400 104640679116800 129754442104832 133940069269504 146952473804800 162193052631040 167425086586880 202741315788800 209281358233600 259508884209664 267880138539008 324386105262080 334850173173760 405482631577600 418562716467200 519017768419328 535760277078016 648772210524160 669700346347520 810965263155200 837125432934400 1038035536838656 1071520554156032 1297544421048320 1339400692695040 1621930526310400 1674250865868800 2076071073677312 2595088842096640 2678801385390080 3243861052620800 3348501731737600 4152142147354624 5190177684193280 5357602770780160 6487722105241600 6697003463475200 8304284294709248 10380355368386560 12975444210483200 13394006926950400 16608568589418496 20760710736773120 25950888420966400 26788013853900800 33217137178836992 41521421473546240 51901776841932800 83042842947092480 103803553683865600 166085685894184960 207607107367731200 415214214735462400 830428429470924800
• Sum of all divisors σ(n): 2126273012666563488
• Sum of proper divisors (its aliquot sum) s(n): 1295844583195638688
• 830428429470924800 is an abundant number, because the sum of its proper divisors (1295844583195638688) is greater than itself. Its abundance is 465416153724713888

Bases of 830428429470924800

• Binary: 101110000110010001100100000110111110000000000000000000000000₂
• Hexadecimal: 0xB864641BE000000
• Base-36: 6B4QB5X4BMRK

Squares and roots of 830428429470924800

• 830428429470924800 squared (830428429470924800²) is 689611376473546724904048567255040000
• 830428429470924800 cubed (830428429470924800³) is 572672892310210066363693924161397800257026260992000000
• The square root of 830428429470924800 is 911278458.7989144385
• The cube root of 830428429470924800 is 939941.3081926185

Scales and comparisons

• 830,428,429,470,924,800 seconds is equal to 26,405,055,373 years, 20 weeks, 1 day, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 830,428,429,470,924,800 would take you about seventy-nine billion, two hundred fifteen million, one hundred sixty-six thousand, one hundred twenty 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 830428429470924800 cubic inches would be around 78328.4 feet tall.

Recreational maths with 830428429470924800

• 830428429470924800 backwards is 008429074924824038
• The number of decimal digits it has is: 18
• The sum of 830428429470924800's digits is 74
• More coming soon!