990432191710617600
990,432,191,710,617,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 990432191710617600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 336 divisors.
990432191710617600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 990432191710617600:
213 × 3 × 52 × 7 × 230290223147
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 230290223147)See below for interesting mathematical facts about the number 990432191710617600 from the Numbermatics database.
Names of 990432191710617600
- Cardinal: 990432191710617600 can be written as Nine hundred ninety quadrillion, four hundred thirty-two trillion, one hundred ninety-one billion, seven hundred ten million, six hundred seventeen thousand, six hundred.
Scientific notation
- Scientific notation: 9.904321917106176 × 1017
Factors of 990432191710617600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 230290223164
Divisors of 990432191710617600
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 640 672 700 768 800 840 896 960 1024 1050 1120 1200 1280 1344 1400 1536 1600 1680 1792 1920 2048 2100 2240 2400 2560 2688 2800 3072 3200 3360 3584 3840 4096 4200 4480 4800 5120 5376 5600 6144 6400 6720 7168 7680 8192 8400 8960 9600 10240 10752 11200 12288 12800 13440 14336 15360 16800 17920 19200 20480 21504 22400 24576 25600 26880 28672 30720 33600 35840 38400 40960 43008 44800 51200 53760 57344 61440 67200 71680 76800 86016 89600 102400 107520 122880 134400 143360 153600 172032 179200 204800 215040 268800 286720 307200 358400 430080 537600 614400 716800 860160 1075200 1433600 2150400 4300800 230290223147 460580446294 690870669441 921160892588 1151451115735 1381741338882 1612031562029 1842321785176 2302902231470 2763482677764 3224063124058 3454353347205 3684643570352 4605804462940 4836094686087 5526965355528 5757255578675 6448126248116 6908706694410 7369287140704 8060157810145 9211608925880 9672189372174 11053930711056 11514511157350 12896252496232 13817413388820 14738574281408 16120315620290 17271766736025 18423217851760 19344378744348 22107861422112 23029022314700 24180473430435 25792504992464 27634826777640 29477148562816 32240631240580 34543533472050 36846435703520 38688757488696 40300789050725 44215722844224 46058044629400 48360946860870 51585009984928 55269653555280 58954297125632 64481262481160 69087066944100 73692871407040 77377514977392 80601578101450 88431445688448 92116089258800 96721893721740 103170019969856 110539307110560 117908594251264 120902367152175 128962524962320 138174133888200 147385742814080 154755029954784 161203156202900 176862891376896 184232178517600 193443787443480 206340039939712 221078614221120 235817188502528 241804734304350 257925049924640 276348267776400 294771485628160 309510059909568 322406312405800 353725782753792 368464357035200 386887574886960 412680079879424 442157228442240 471634377005056 483609468608700 515850099849280 552696535552800 589542971256320 619020119819136 644812624811600 707451565507584 736928714070400 773775149773920 825360159758848 884314456884480 943268754010112 967218937217400 1031700199698560 1105393071105600 1179085942512640 1238040239638272 1289625249623200 1414903131015168 1473857428140800 1547550299547840 1650720319517696 1768628913768960 1886537508020224 1934437874434800 2063400399397120 2210786142211200 2358171885025280 2476080479276544 2579250499246400 2829806262030336 2947714856281600 3095100599095680 3301440639035392 3537257827537920 3868875748869600 4126800798794240 4421572284422400 4716343770050560 4952160958553088 5158500998492800 5659612524060672 5895429712563200 6190201198191360 6602881278070784 7074515655075840 7737751497739200 8253601597588480 8843144568844800 9432687540101120 9904321917106176 10317001996985600 11790859425126400 12380402396382720 13205762556141568 14149031310151680 15475502995478400 16507203195176960 17686289137689600 19808643834212352 20634003993971200 23581718850252800 24760804792765440 28298062620303360 30951005990956800 33014406390353920 35372578275379200 39617287668424704 41268007987942400 47163437700505600 49521609585530880 61902011981913600 66028812780707840 70745156550758400 82536015975884800 99043219171061760 123804023963827200 141490313101516800 165072031951769600 198086438342123520 247608047927654400 330144063903539200 495216095855308800 990432191710617600
- Sum of all divisors σ(n): 3742661968027014528
- Sum of proper divisors (its aliquot sum) s(n): 2752229776316396928
- 990432191710617600 is an abundant number, because the sum of its proper divisors (2752229776316396928) is greater than itself. Its abundance is 1761797584605779328
Bases of 990432191710617600
- Binary: 1101101111101011100011010100101100010000010111100000000000002
- Hexadecimal: 0xDBEB8D4B105E000
- Base-36: 7IW6WRJR49HC
Squares and roots of 990432191710617600
- 990432191710617600 squared (9904321917106176002) is 980955926376697574567300573429760000
- 990432191710617600 cubed (9904321917106176003) is 971570328132791816230662910262429753373439819776000000
-
The
square root of 990432191710617600 is 995204597.9147290897 -
The
cube root of 990432191710617600 is 996800.5047176433
Scales and comparisons
How big is 990432191710617600?- 990,432,191,710,617,600 seconds is equal to 31,492,680,088 years, 24 weeks, 6 days, 5 hours, 20 minutes.
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To count from 1 to 990,432,191,710,617,600 would take you about ninety-four billion, four hundred seventy-eight million, forty thousand, two hundred sixty-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 990432191710617600 cubic inches would be around 83066.7 feet tall.
Recreational maths with 990432191710617600
- 990432191710617600 backwards is 006716017191234099
- The number of decimal digits it has is: 18
- The sum of 990432191710617600's digits is 66
- More coming soon!
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