972964742400

Names of 972964742400

• Cardinal: 972964742400 can be written as Nine hundred seventy-two billion, nine hundred sixty-four million, seven hundred forty-two thousand, four hundred.

Scientific notation

• Scientific notation: 9.729647424 × 10¹¹

Factors of 972964742400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 268140

Divisors of 972964742400

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 252 256 270 280 288 300 315 320 324 336 350 360 378 384 400 405 420 432 448 450 480 504 525 540 560 567 576 600 630 640 648 672 675 700 720 756 768 800 810 840 864 896 900 945 960 1008 1050 1080 1120 1134 1152 1200 1260 1280 1296 1344 1350 1400 1440 1512 1575 1600 1620 1680 1728 1792 1800 1890 1920 2016 2025 2100 2160 2240 2268 2304 2400 2520 2592 2688 2700 2800 2835 2880 3024 3150 3200 3240 3360 3456 3600 3780 3840 4032 4050 4200 4320 4480 4536 4725 4800 5040 5184 5376 5400 5600 5670 5760 6048 6300 6400 6480 6720 6912 7200 7560 8064 8100 8400 8640 8960 9072 9450 9600 10080 10368 10800 11200 11340 11520 12096 12600 12960 13440 14175 14400 15120 16128 16200 16800 17280 18144 18900 19200 20160 20736 21600 22400 22680 24192 25200 25920 26880 28350 28800 30240 32400 33600 34560 36288 37800 40320 43200 44800 45360 48384 50400 51840 56700 57600 60480 64800 67200 72576 75600 80640 86400 90720 100800 103680 113400 120960 129600 134400 145152 151200 172800 181440 201600 226800 241920 259200 268123 302400 362880 403200 453600 518400 536246 604800 725760 804369 907200 1072492 1209600 1340615 1608738 1814400 1876861 2144984 2413107 2681230 3217476 3628800 3753722 4021845 4289968 4826214 5362460 5630583 6434952 6703075 7239321 7507444 8043690 8579936 9384305 9652428 10724920 11261166 12065535 12869904 13406150 14478642 15014888 16087380 16891749 17159872 18768610 19304856 20109225 21449840 21717963 22522332 24131070 25739808 26812300 28152915 28957284 30029776 32174760 33783498 34319744 36196605 37537220 38609712 40218450 42899680 43435926 45044664 46921525 48262140 50675247 51479616 53624600 56305830 57914568 60059552 60327675 64349520 67566996 68639488 72393210 75074440 77219424 80436900 84458745 85799360 86871852 90089328 93843050 96524280 101350494 102959232 107249200 108589815 112611660 115829136 120119104 120655350 128699040 135133992 140764575 144786420 150148880 152025741 154438848 160873800 168917490 171598720 173743704 180178656 180983025 187686100 193048560 202700988 205918464 214498400 217179630 225223320 231658272 240238208 241310700 253376235 257398080 270267984 281529150 289572840 300297760 304051482 308877696 321747600 337834980 343197440 347487408 360357312 361966050 375372200 386097120 405401976 422293725 428996800 434359260 450446640 463316544 480476416 482621400 506752470 514796160 540535968 542949075 563058300 579145680 600595520 608102964 617755392 643495200 675669960 694974816 720714624 723932100 750744400 760128705 772194240 810803952 844587450 857993600 868718520 900893280 926633088 965242800 1013504940 1029592320 1081071936 1085898150 1126116600 1158291360 1201191040 1216205928 1266881175 1286990400 1351339920 1389949632 1441429248 1447864200 1501488800 1520257410 1544388480 1621607904 1689174900 1715987200 1737437040 1801786560 1853266176 1930485600 2027009880 2162143872 2171796300 2252233200 2316582720 2402382080 2432411856 2533762350 2573980800 2702679840 2779899264 2895728400 3002977600 3040514820 3088776960 3243215808 3378349800 3474874080 3603573120 3800643525 3860971200 4054019760 4324287744 4343592600 4504466400 4633165440 4864823712 5067524700 5147961600 5405359680 5559798528 5791456800 6005955200 6081029640 6486431616 6756699600 6949748160 7207146240 7601287050 7721942400 8108039520 8687185200 9008932800 9266330880 9729647424 10135049400 10810719360 11582913600 12011910400 12162059280 12972863232 13513399200 13899496320 15202574100 15443884800 16216079040 17374370400 18017865600 19459294848 20270098800 21621438720 23165827200 24324118560 27026798400 27798992640 30405148200 32432158080 34748740800 36035731200 38918589696 40540197600 46331654400 48648237120 54053596800 60810296400 64864316160 69497481600 81080395200 97296474240 108107193600 121620592800 138994963200 162160790400 194592948480 243241185600 324321580800 486482371200 972964742400
• Sum of all divisors σ(n): 4111437010912
• Sum of proper divisors (its aliquot sum) s(n): 3138472268512
• 972964742400 is an abundant number, because the sum of its proper divisors (3138472268512) is greater than itself. Its abundance is 2165507526112

Bases of 972964742400

• Binary: 1110001010001001001101111100010100000000₂
• Hexadecimal: 0xE28937C500
• Base-36: CEZ23400

Squares and roots of 972964742400

• 972964742400 squared (972964742400²) is 946660389953498357760000
• 972964742400 cubed (972964742400³) is 921067182451389077636781441024000000
• The square root of 972964742400 is 986389.7517715805
• The cube root of 972964742400 is 9909.0579358727

Scales and comparisons

• 972,964,742,400 seconds is equal to 30,937 years, 14 weeks.
• To count from 1 to 972,964,742,400 would take you about sixty-one thousand, eight hundred seventy-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 972964742400 cubic inches would be around 825.8 feet tall.

Recreational maths with 972964742400

• 972964742400 backwards is 004247469279
• 972964742400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 972964742400's digits is 54
• More coming soon!