972991990011285504
972,991,990,011,285,504 is an even composite number composed of four prime numbers multiplied together.
What does the number 972991990011285504 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1872 divisors.
972991990011285504 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 972991990011285504:
212 × 38 × 137 × 577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 13 × 13 × 13 × 577)See below for interesting mathematical facts about the number 972991990011285504 from the Numbermatics database.
Names of 972991990011285504
- Cardinal: 972991990011285504 can be written as Nine hundred seventy-two quadrillion, nine hundred ninety-one trillion, nine hundred ninety billion, eleven million, two hundred eighty-five thousand, five hundred four.
Scientific notation
- Scientific notation: 9.72991990011285504 × 1017
Factors of 972991990011285504
Divisors of 972991990011285504
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 169 192 208 216 234 243 256 288 312 324 338 351 384 416 432 468 486 507 512 576 577 624 648 676 702 729 768 832 864 936 972 1014 1024 1053 1152 1154 1248 1296 1352 1404 1458 1521 1536 1664 1728 1731 1872 1944 2028 2048 2106 2187 2197 2304 2308 2496 2592 2704 2808 2916 3042 3072 3159 3328 3456 3462 3744 3888 4056 4096 4212 4374 4394 4563 4608 4616 4992 5184 5193 5408 5616 5832 6084 6144 6318 6561 6591 6656 6912 6924 7488 7501 7776 8112 8424 8748 8788 9126 9216 9232 9477 9984 10368 10386 10816 11232 11664 12168 12288 12636 13122 13182 13312 13689 13824 13848 14976 15002 15552 15579 16224 16848 17496 17576 18252 18432 18464 18954 19773 19968 20736 20772 21632 22464 22503 23328 24336 25272 26244 26364 26624 27378 27648 27696 28431 28561 29952 30004 31104 31158 32448 33696 34992 35152 36504 36864 36928 37908 39546 39936 41067 41472 41544 43264 44928 45006 46656 46737 48672 50544 52488 52728 53248 54756 55296 55392 56862 57122 59319 59904 60008 62208 62316 64896 67392 67509 69984 70304 73008 73856 75816 79092 79872 82134 82944 83088 85293 85683 86528 89856 90012 93312 93474 97344 97513 101088 104976 105456 109512 110592 110784 113724 114244 118638 119808 120016 123201 124416 124632 129792 134784 135018 139968 140211 140608 146016 147712 151632 158184 159744 164268 165888 166176 170586 171366 173056 177957 179712 180024 186624 186948 194688 195026 202176 202527 209952 210912 219024 221568 227448 228488 237276 239616 240032 246402 248832 249264 257049 259584 269568 270036 279936 280422 281216 292032 292539 295424 303264 316368 328536 331776 332352 341172 342732 346112 355914 359424 360048 369603 371293 373248 373896 389376 390052 404352 405054 419904 420633 421824 438048 443136 454896 456976 474552 479232 480064 492804 497664 498528 514098 519168 533871 539136 540072 559872 560844 562432 584064 585078 590848 606528 607581 632736 657072 664704 682344 685464 692224 711828 718848 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3800749960981584 4004082263420928 4158085427398656 4504592546348544 4677846105823488 5067666614642112 5757349053321216 6006123395131392 6237128141097984 6756888819522816 7601499921963168 8316170854797312 9009185092697088 9355692211646976 10135333229284224 12012246790262784 12474256282195968 13513777639045632 15202999843926336 18018370185394176 18711384423293952 20270666458568448 24948512564391936 27027555278091264 30405999687852672 36036740370788352 37422768846587904 40541332917136896 54055110556182528 60811999375705344 74845537693175808 81082665834273792 108110221112365056 121623998751410688 162165331668547584 243247997502821376 324330663337095168 486495995005642752 972991990011285504
- Sum of all divisors σ(n): 3167156822055488080
- Sum of proper divisors (its aliquot sum) s(n): 2194164832044202576
- 972991990011285504 is an abundant number, because the sum of its proper divisors (2194164832044202576) is greater than itself. Its abundance is 1221172842032917072
Bases of 972991990011285504
- Binary: 1101100000001100001100001111010011011110110001010000000000002
- Hexadecimal: 0xD80C30F4DEC5000
- Base-36: 7E4GVHHS0000
Squares and roots of 972991990011285504
- 972991990011285504 squared (9729919900112855042) is 946713412626121509990353282600534016
- 972991990011285504 cubed (9729919900112855043) is 921144567321465231992364466046008139222733297039704064
-
The
square root of 972991990011285504 is 986403563.4623820153 -
The
cube root of 972991990011285504 is 990915.0435160853
Scales and comparisons
How big is 972991990011285504?- 972,991,990,011,285,504 seconds is equal to 30,938,135,620 years, 27 weeks, 2 days, 8 hours, 38 minutes, 24 seconds.
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To count from 1 to 972,991,990,011,285,504 would take you about ninety-two billion, eight hundred fourteen million, four hundred six thousand, eight hundred sixty-one 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 972991990011285504 cubic inches would be around 82576.3 feet tall.
Recreational maths with 972991990011285504
- 972991990011285504 backwards is 405582110099199279
- 972991990011285504 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 972991990011285504's digits is 81
- More coming soon!
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The information we have on file for 972991990011285504 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!
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