131973394432000
131,973,394,432,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 131973394432000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1024 divisors.
131973394432000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 131973394432000:
215 × 53 × 11 × 19 × 31 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 19 × 31 × 4973)See below for interesting mathematical facts about the number 131973394432000 from the Numbermatics database.
Names of 131973394432000
- Cardinal: 131973394432000 can be written as One hundred thirty-one trillion, nine hundred seventy-three billion, three hundred ninety-four million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.31973394432 × 1014
Factors of 131973394432000
Divisors of 131973394432000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 31 32 38 40 44 50 55 62 64 76 80 88 95 100 110 124 125 128 152 155 160 176 190 200 209 220 248 250 256 275 304 310 320 341 352 380 400 418 440 475 496 500 512 550 589 608 620 640 682 704 760 775 800 836 880 950 992 1000 1024 1045 1100 1178 1216 1240 1280 1364 1375 1408 1520 1550 1600 1672 1705 1760 1900 1984 2000 2048 2090 2200 2356 2375 2432 2480 2560 2728 2750 2816 2945 3040 3100 3200 3344 3410 3520 3800 3875 3968 4000 4096 4180 4400 4712 4750 4864 4960 4973 5120 5225 5456 5500 5632 5890 6080 6200 6400 6479 6688 6820 7040 7600 7750 7936 8000 8192 8360 8525 8800 9424 9500 9728 9920 9946 10240 10450 10912 11000 11264 11780 12160 12400 12800 12958 13376 13640 14080 14725 15200 15500 15872 16000 16384 16720 17050 17600 18848 19000 19456 19840 19892 20480 20900 21824 22000 22528 23560 24320 24800 24865 25600 25916 26125 26752 27280 28160 29450 30400 31000 31744 32000 32395 32768 33440 34100 35200 37696 38000 38912 39680 39784 40960 41800 42625 43648 44000 45056 47120 48640 49600 49730 51200 51832 52250 53504 54560 54703 56320 58900 60800 62000 63488 64000 64790 66880 68200 70400 73625 75392 76000 77824 79360 79568 81920 83600 85250 87296 88000 90112 94240 94487 97280 99200 99460 102400 103664 104500 107008 109120 109406 112640 117800 121600 124000 124325 126976 128000 129580 133760 136400 140800 147250 150784 152000 154163 155648 158720 159136 161975 163840 167200 170500 174592 176000 180224 188480 188974 194560 198400 198920 204800 207328 209000 214016 218240 218812 225280 235600 243200 248000 248650 253952 256000 259160 267520 272800 273515 281600 294500 301568 304000 308326 311296 317440 318272 323950 334400 341000 349184 352000 360448 376960 377948 389120 396800 397840 409600 414656 418000 428032 436480 437624 450560 471200 472435 486400 496000 497300 507904 512000 518320 535040 545600 547030 563200 589000 603136 608000 616652 621625 622592 634880 636544 647900 668800 682000 698368 704000 753920 755896 770815 778240 793600 795680 809875 819200 829312 836000 856064 872960 875248 901120 942400 944870 972800 992000 994600 1015808 1024000 1036640 1039357 1070080 1091200 1094060 1126400 1178000 1206272 1216000 1233304 1243250 1269760 1273088 1295800 1337600 1364000 1367575 1396736 1408000 1507840 1511792 1541630 1556480 1587200 1591360 1619750 1658624 1672000 1695793 1712128 1745920 1750496 1802240 1884800 1889740 1945600 1984000 1989200 2048000 2073280 2078714 2140160 2182400 2188120 2252800 2356000 2362175 2412544 2432000 2466608 2486500 2539520 2546176 2591600 2675200 2728000 2735150 2793472 2816000 2929097 3015680 3023584 3083260 3112960 3174400 3182720 3239500 3317248 3344000 3391586 3424256 3491840 3500992 3769600 3779480 3854075 3891200 3968000 3978400 4096000 4146560 4157428 4280320 4364800 4376240 4505600 4712000 4724350 4825088 4864000 4933216 4973000 5079040 5092352 5183200 5196785 5350400 5456000 5470300 5586944 5632000 5858194 6031360 6047168 6166520 6348800 6365440 6479000 6634496 6688000 6783172 6837875 6848512 6983680 7001984 7539200 7558960 7708150 7782400 7936000 7956800 8293120 8314856 8478965 8560640 8729600 8752480 9011200 9424000 9448700 9650176 9728000 9866432 9946000 10184704 10366400 10393570 10700800 10912000 10940600 11173888 11264000 11716388 11810875 12062720 12094336 12333040 12697600 12730880 12958000 13268992 13376000 13566344 13675750 13967360 14003968 14645485 15078400 15117920 15416300 15564800 15872000 15913600 16586240 16629712 16957930 17121280 17459200 17504960 18848000 18897400 19270375 19300352 19456000 19732864 19892000 20369408 20732800 20787140 21401600 21824000 21881200 22528000 23432776 23621750 24125440 24188672 24666080 25395200 25461760 25916000 25983925 26537984 26752000 27132688 27351500 27934720 28007936 29290970 30156800 30235840 30832600 31744000 31827200 32220067 33172480 33259424 33915860 34242560 34918400 35009920 37696000 37794800 38540750 38912000 39465728 39784000 40738816 41465600 41574280 42394825 42803200 43648000 43762400 45056000 46865552 47243500 48250880 48377344 49332160 50923520 51832000 51967850 53075968 53504000 54265376 54703000 55869440 56015872 58581940 60313600 60471680 61665200 63488000 63654400 64440134 66344960 66518848 67831720 69836800 70019840 73227425 75392000 75589600 77081500 77824000 78931456 79568000 81477632 82931200 83148560 84789650 85606400 87296000 87524800 93731104 94487000 96501760 96754688 98664320 101847040 103664000 103935700 106151936 107008000 108530752 109406000 112031744 117163880 120627200 120943360 123330400 126976000 127308800 128880268 129919625 132689920 133037696 135663440 139673600 140039680 146454850 150784000 151179200 154163000 157862912 159136000 161100335 162955264 165862400 166297120 169579300 171212800 174592000 175049600 187462208 188974000 193509376 197328640 203694080 207328000 207871400 211974125 212303872 214016000 217061504 218812000 224063488 234327760 241254400 241886720 246660800 254617600 257760536 259839250 265379840 266075392 271326880 279347200 280079360 292909700 301568000 302358400 308326000 315725824 318272000 322200670 331724800 332594240 339158600 349184000 350099200 366137125 374924416 377948000 387018752 394657280 407388160 414656000 415742800 423948250 428032000 434123008 437624000 448126976 468655520 482508800 483773440 493321600 509235200 515521072 519678500 530759680 532150784 542653760 560158720 585819400 603136000 604716800 616652000 631451648 636544000 644401340 663449600 665188480 678317200 698368000 700198400 732274250 749848832 755896000 774037504 789314560 805501675 814776320 829312000 831485600 847896500 856064000 868246016 875248000 896253952 937311040 967546880 986643200 1018470400 1031042144 1039357000 1061519360 1064301568 1085307520 1120317440 1171638800 1206272000 1209433600 1233304000 1262903296 1273088000 1288802680 1326899200 1330376960 1356634400 1396736000 1400396800 1464548500 1499697664 1511792000 1548075008 1578629120 1611003350 1658624000 1662971200 1695793000 1736492032 1750496000 1792507904 1874622080 1935093760 1973286400 2036940800 2062084288 2078714000 2128603136 2170615040 2240634880 2343277600 2412544000 2418867200 2466608000 2525806592 2546176000 2577605360 2653798400 2660753920 2713268800 2800793600 2929097000 2999395328 3023584000 3096150016 3157258240 3222006700 3317248000 3325942400 3391586000 3472984064 3500992000 3749244160 3870187520 3946572800 4027508375 4073881600 4124168576 4157428000 4257206272 4341230080 4481269760 4686555200 4837734400 4933216000 5051613184 5092352000 5155210720 5307596800 5321507840 5426537600 5601587200 5858194000 5998790656 6047168000 6314516480 6444013400 6634496000 6651884800 6783172000 6945968128 7001984000 7498488320 7740375040 7893145600 8055016750 8248337152 8314856000 8514412544 8682460160 8962539520 9373110400 9675468800 9866432000 10184704000 10310421440 10643015680 10853075200 11203174400 11716388000 11997581312 12094336000 12629032960 12888026800 13268992000 13303769600 13566344000 13891936256 14003968000 14996976640 15480750080 15786291200 16110033500 16496674304 16629712000 17028825088 17364920320 18746220800 19350937600 19732864000 20369408000 20620842880 21286031360 21706150400 22406348800 23432776000 23995162624 24188672000 25258065920 25776053600 26537984000 26607539200 27132688000 27783872512 28007936000 29993953280 31572582400 32220067000 32993348608 33259424000 34057650176 34729840640 37492441600 38701875200 39465728000 41241685760 42572062720 43412300800 44812697600 46865552000 47990325248 48377344000 51552107200 53215078400 54265376000 55567745024 56015872000 59987906560 63145164800 64440134000 65986697216 66518848000 69459681280 74984883200 77403750400 78931456000 82483371520 85144125440 86824601600 93731104000 95980650496 96754688000 103104214400 106430156800 108530752000 112031744000 119975813120 126290329600 128880268000 131973394432 133037696000 138919362560 149969766400 157862912000 164966743040 170288250880 173649203200 187462208000 193509376000 206208428800 212860313600 217061504000 224063488000 239951626240 257760536000 263946788864 266075392000 277838725120 299939532800 315725824000 329933486080 347298406400 374924416000 387018752000 412416857600 425720627200 434123008000 479903252480 515521072000 527893577728 532150784000 599879065600 631451648000 659866972160 694596812800 749848832000 824833715200 851441254400 868246016000 1031042144000 1055787155456 1064301568000 1199758131200 1319733944320 1389193625600 1499697664000 1649667430400 1736492032000 2062084288000 2128603136000 2399516262400 2639467888640 2999395328000 3299334860800 3472984064000 4124168576000 4257206272000 5278935777280 5998790656000 6598669721600 6945968128000 8248337152000 11997581312000 13197339443200 16496674304000 26394678886400 32993348608000 65986697216000 131973394432000
- Sum of all divisors σ(n): 390539443507200
- Sum of proper divisors (its aliquot sum) s(n): 258566049075200
- 131973394432000 is an abundant number, because the sum of its proper divisors (258566049075200) is greater than itself. Its abundance is 126592654643200
Bases of 131973394432000
- Binary: 111100000000111011100110100101110000000000000002
- Hexadecimal: 0x7807734B8000
- Base-36: 1AS3QNLC74
Squares and roots of 131973394432000
- 131973394432000 squared (1319733944320002) is 17416976837904248602624000000
- 131973394432000 cubed (1319733944320003) is 2298577554041745529082681982189568000000000
-
The
square root of 131973394432000 is 11487967.3759982449 -
The
cube root of 131973394432000 is 50913.0126065365
Scales and comparisons
How big is 131973394432000?- 131,973,394,432,000 seconds is equal to 4,196,345 years, 37 weeks, 3 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 131,973,394,432,000 would take you about ten million, four hundred ninety thousand, eight hundred sixty-four 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 131973394432000 cubic inches would be around 4242.8 feet tall.
Recreational maths with 131973394432000
- 131973394432000 backwards is 000234493379131
- The number of decimal digits it has is: 15
- The sum of 131973394432000's digits is 49
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 131973394432000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 131973394432000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/131973394432000/
Chicago style:
Numbermatics. 2024. "Number 131973394432000 - Facts about the integer". https://numbermatics.com/n/131973394432000/
The information we have on file for 131973394432000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 131973394432000, math, Factors of 131973394432000, curriculum, school, college, exams, university, Prime factorization of 131973394432000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, nine hundred seventy-three billion, three hundred ninety-four million, four hundred thirty-two thousand.