972020563968000

Names of 972020563968000

• Cardinal: 972020563968000 can be written as Nine hundred seventy-two trillion, twenty billion, five hundred sixty-three million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 9.72020563968 × 10¹⁴

Factors of 972020563968000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 4457

Divisors of 972020563968000

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1024 1200 1280 1500 1536 1600 1920 2000 2048 2400 2560 3000 3072 3200 3840 4000 4096 4447 4800 5120 6000 6144 6400 7680 8000 8192 8894 9600 10240 12000 12288 12800 13341 15360 16000 16384 17788 19200 20480 22235 24000 24576 25600 26682 30720 32000 32768 35576 38400 40960 44470 48000 49152 51200 53364 61440 64000 65536 66705 71152 76800 81920 88940 96000 98304 102400 106728 111175 122880 128000 131072 133410 142304 153600 163840 177880 192000 196608 204800 213456 222350 245760 256000 266820 284608 307200 327680 333525 355760 384000 393216 409600 426912 444700 491520 512000 533640 555875 569216 614400 655360 667050 711520 768000 819200 853824 889400 983040 1024000 1067280 1111750 1138432 1228800 1334100 1423040 1536000 1638400 1667625 1707648 1778800 1966080 2048000 2134560 2223500 2276864 2457600 2668200 2846080 3072000 3276800 3335250 3415296 3557600 4096000 4269120 4447000 4553728 4915200 5336400 5692160 6144000 6670500 6830592 7115200 8192000 8538240 8894000 9107456 9830400 10672800 11384320 12288000 13341000 13661184 14230400 16384000 17076480 17788000 18214912 19775809 21345600 22768640 24576000 26682000 27322368 28460800 34152960 35576000 36429824 39551618 42691200 45537280 49152000 53364000 54644736 56921600 59327427 68305920 71152000 72859648 79103236 85382400 91074560 98879045 106728000 109289472 113843200 118654854 136611840 142304000 145719296 158206472 170764800 182149120 197758090 213456000 218578944 227686400 237309708 273223680 284608000 291438592 296637135 316412944 341529600 364298240 395516180 426912000 437157888 455372800 474619416 494395225 546447360 569216000 582877184 593274270 632825888 683059200 728596480 791032360 853824000 874315776 910745600 949238832 988790450 1092894720 1138432000 1186548540 1265651776 1366118400 1457192960 1483185675 1582064720 1707648000 1748631552 1821491200 1898477664 1977580900 2185789440 2276864000 2373097080 2471976125 2531303552 2732236800 2914385920 2966371350 3164129440 3415296000 3642982400 3796955328 3955161800 4371578880 4553728000 4746194160 4943952250 5062607104 5464473600 5932742700 6328258880 6830592000 7285964800 7415928375 7593910656 7910323600 8743157760 9107456000 9492388320 9887904500 10125214208 10928947200 11865485400 12656517760 13661184000 14571929600 14831856750 15187821312 15820647200 18214912000 18984776640 19775809000 20250428416 21857894400 23730970800 25313035520 27322368000 29663713500 30375642624 31641294400 36429824000 37969553280 39551618000 40500856832 43715788800 47461941600 50626071040 54644736000 59327427000 60751285248 63282588800 72859648000 75939106560 79103236000 81001713664 94923883200 101252142080 109289472000 118654854000 121502570496 126565177600 151878213120 158206472000 162003427328 189847766400 202504284160 218578944000 237309708000 243005140992 253130355200 303756426240 316412944000 324006854656 379695532800 405008568320 474619416000 486010281984 506260710400 607512852480 632825888000 648013709312 759391065600 810017136640 949238832000 972020563968 1012521420800 1215025704960 1265651776000 1296027418624 1518782131200 1620034273280 1898477664000 1944041127936 2025042841600 2430051409920 2531303552000 2592054837248 3037564262400 3240068546560 3796955328000 3888082255872 4050085683200 4860102819840 5062607104000 6075128524800 6480137093120 7593910656000 7776164511744 8100171366400 9720205639680 10125214208000 12150257049600 12960274186240 15187821312000 16200342732800 19440411279360 20250428416000 24300514099200 30375642624000 32400685465600 38880822558720 40500856832000 48601028198400 60751285248000 64801370931200 81001713664000 97202056396800 121502570496000 162003427328000 194404112793600 243005140992000 324006854656000 486010281984000 972020563968000
• Sum of all divisors σ(n): 3235599688308624
• Sum of proper divisors (its aliquot sum) s(n): 2263579124340624
• 972020563968000 is an abundant number, because the sum of its proper divisors (2263579124340624) is greater than itself. Its abundance is 1291558560372624

Bases of 972020563968000

• Binary: 11011101000000110000101100011011100000000000000000₂
• Hexadecimal: 0x3740C2C6E0000
• Base-36: 9KJW2YYJ9C

Squares and roots of 972020563968000

• 972020563968000 squared (972020563968000²) is 944823976776668779905024000000
• 972020563968000 cubed (972020563968000³) is 918388334756946122227619893956575232000000000
• The square root of 972020563968000 is 31177244.3292860635
• The cube root of 972020563968000 is 99058.5160290553

Scales and comparisons

• 972,020,563,968,000 seconds is equal to 30,907,247 years, 14 weeks, 2 days, 21 hours, 20 minutes.
• To count from 1 to 972,020,563,968,000 would take you about seventy-seven million, two hundred sixty-eight thousand, one hundred eighteen 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 972020563968000 cubic inches would be around 8254.9 feet tall.

Recreational maths with 972020563968000

• 972020563968000 backwards is 000869365020279
• The number of decimal digits it has is: 15
• The sum of 972020563968000's digits is 57
• More coming soon!