972249305713920
972,249,305,713,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 972249305713920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1890 divisors.
972249305713920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 972249305713920:
28 × 36 × 5 × 134 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 13 × 191 × 191)See below for interesting mathematical facts about the number 972249305713920 from the Numbermatics database.
Names of 972249305713920
- Cardinal: 972249305713920 can be written as Nine hundred seventy-two trillion, two hundred forty-nine billion, three hundred five million, seven hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.7224930571392 × 1014
Factors of 972249305713920
Divisors of 972249305713920
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 169 180 191 192 195 208 216 234 240 243 256 260 270 288 312 320 324 338 351 360 382 384 390 405 416 432 468 480 486 507 520 540 573 576 585 624 640 648 676 702 720 729 764 768 780 810 832 845 864 936 955 960 972 1014 1040 1053 1080 1146 1152 1170 1215 1248 1280 1296 1352 1404 1440 1458 1521 1528 1560 1620 1664 1690 1719 1728 1755 1872 1910 1920 1944 2028 2080 2106 2160 2197 2292 2304 2340 2430 2483 2496 2535 2592 2704 2808 2865 2880 2916 3042 3056 3120 3159 3240 3328 3380 3438 3456 3510 3645 3744 3820 3840 3888 4056 4160 4212 4320 4394 4563 4584 4680 4860 4966 4992 5070 5157 5184 5265 5408 5616 5730 5760 5832 6084 6112 6240 6318 6480 6591 6760 6876 6912 7020 7290 7449 7488 7605 7640 7776 8112 8320 8424 8595 8640 8788 9126 9168 9360 9477 9720 9932 9984 10140 10314 10368 10530 10816 10985 11232 11460 11520 11664 12168 12224 12415 12480 12636 12960 13182 13520 13689 13752 14040 14580 14898 14976 15210 15280 15471 15552 15795 16224 16640 16848 17190 17280 17576 18252 18336 18720 18954 19440 19773 19864 20280 20628 20736 21060 21632 21970 22347 22464 22815 22920 23328 24336 24448 24830 24960 25272 25785 25920 26364 27040 27378 27504 28080 28561 29160 29796 29952 30420 30560 30942 31104 31590 32279 32448 32955 33696 34380 34560 35152 36481 36504 36672 37245 37440 37908 38880 39546 39728 40560 41067 41256 42120 43264 43940 44694 44928 45630 45840 46413 46656 47385 48672 48896 49660 49920 50544 51570 51840 52728 54080 54756 55008 56160 57122 58320 59319 59592 60840 61120 61884 62208 63180 64558 64896 65910 67041 67392 68445 68760 70304 72962 73008 73344 74490 74880 75816 77355 77760 79092 79456 81120 82134 82512 84240 85683 87880 89388 89856 91260 91680 92826 93312 94770 96837 97344 98865 99320 101088 103140 103680 105456 108160 109443 109512 110016 111735 112320 114244 116640 118638 119184 121680 122240 123201 123768 126360 129116 129792 131820 134082 134784 136890 137520 139239 140608 142805 145924 146016 146688 148980 149760 151632 154710 155520 158184 158912 161395 162240 164268 165024 168480 171366 175760 177957 178776 182405 182520 183360 185652 186624 189540 193674 194688 197730 198640 201123 202176 205335 206280 210912 216320 218886 219024 220032 223470 224640 228488 232065 233280 237276 238368 243360 244480 246402 247536 252720 257049 258232 263640 268164 269568 273780 275040 278478 281216 285610 290511 291848 292032 296595 297960 303264 309420 311040 316368 317824 322790 324480 328329 328536 330048 335205 336960 342732 351520 355914 357552 364810 365040 366720 371304 379080 387348 389376 395460 397280 402246 404352 410670 412560 419627 421824 428415 437772 438048 440064 446940 449280 456976 464130 466560 474253 474552 476736 484185 486720 492804 495072 505440 514098 516464 527280 533871 536328 547215 547560 550080 556956 562432 571220 581022 583696 584064 593190 595920 603369 606528 616005 618840 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324083101904640 486124652856960 972249305713920
- Sum of all divisors σ(n): 3802533919345434
- Sum of proper divisors (its aliquot sum) s(n): 2830284613631514
- 972249305713920 is an abundant number, because the sum of its proper divisors (2830284613631514) is greater than itself. Its abundance is 1858035307917594
Bases of 972249305713920
- Binary: 110111010001000001011011101000000000001101000000002
- Hexadecimal: 0x374416E800D00
- Base-36: 9KMT5XW000
Squares and roots of 972249305713920
- 972249305713920 squared (9722493057139202) is 945268712461199473160881766400
- 972249305713920 cubed (9722493057139203) is 919036849403492266447332978448589062668288000
-
The
square root of 972249305713920 is 31180912.5221491875 -
The
cube root of 972249305713920 is 99066.2857689057
Scales and comparisons
How big is 972249305713920?- 972,249,305,713,920 seconds is equal to 30,914,520 years, 28 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 972,249,305,713,920 would take you about seventy-seven million, two hundred eighty-six thousand, three hundred 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 972249305713920 cubic inches would be around 8255.5 feet tall.
Recreational maths with 972249305713920
- 972249305713920 backwards is 029317503942279
- The number of decimal digits it has is: 15
- The sum of 972249305713920's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 972249305713920 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 972249305713920 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/972249305713920/
Chicago style:
Numbermatics. 2024. "Number 972249305713920 - Facts about the integer". https://numbermatics.com/n/972249305713920/
The information we have on file for 972249305713920 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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