71422128400896
71,422,128,400,896 is an even composite number composed of six prime numbers multiplied together.
71422128400896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 71422128400896:
29 × 35 × 7 × 132 × 292 × 577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 29 × 29 × 577)See below for interesting mathematical facts about the number 71422128400896 from the Numbermatics database.
Names of 71422128400896
- Cardinal: 71422128400896 can be written as Seventy-one trillion, four hundred twenty-two billion, one hundred twenty-eight million, four hundred thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 7.1422128400896 × 1013
Factors of 71422128400896
Divisors of 71422128400896
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 32 36 39 42 48 52 54 56 58 63 64 72 78 81 84 87 91 96 104 108 112 116 117 126 128 144 156 162 168 169 174 182 189 192 203 208 216 224 232 234 243 252 256 261 273 288 312 324 336 338 348 351 364 377 378 384 406 416 432 448 464 468 486 504 507 512 522 546 567 576 577 609 624 648 672 676 696 702 728 754 756 768 783 812 819 832 841 864 896 928 936 972 1008 1014 1044 1053 1092 1131 1134 1152 1154 1183 1218 1248 1296 1344 1352 1392 1404 1456 1508 1512 1521 1536 1566 1624 1638 1664 1682 1701 1728 1731 1792 1827 1856 1872 1944 2016 2028 2088 2106 2184 2262 2268 2304 2308 2349 2366 2436 2457 2496 2523 2592 2639 2688 2704 2784 2808 2912 3016 3024 3042 3132 3159 3248 3276 3328 3364 3393 3402 3456 3462 3549 3584 3654 3712 3744 3888 4032 4039 4056 4176 4212 4368 4524 4536 4563 4608 4616 4698 4732 4872 4901 4914 4992 5046 5184 5193 5278 5376 5408 5481 5568 5616 5824 5887 6032 6048 6084 6264 6318 6496 6552 6656 6728 6786 6804 6912 6924 7047 7098 7308 7371 7424 7488 7501 7569 7776 7917 8064 8078 8112 8352 8424 8736 9048 9072 9126 9232 9396 9464 9744 9802 9828 9984 10092 10179 10368 10386 10556 10647 10752 10816 10933 10962 11136 11232 11648 11774 12064 12096 12117 12168 12528 12636 12992 13104 13456 13572 13608 13689 13824 13848 14094 14196 14616 14703 14742 14848 14976 15002 15138 15552 15579 15834 16128 16156 16224 16443 16704 16733 16848 17472 17661 18096 18144 18252 18464 18792 18928 19488 19604 19656 19968 20184 20358 20736 20772 21112 21294 21632 21866 21924 22113 22272 22464 22503 22707 23296 23548 23751 24128 24192 24234 24336 25056 25272 25984 26208 26912 27144 27216 27378 27696 28188 28392 29232 29406 29484 29952 30004 30276 30537 31104 31158 31668 31941 32256 32312 32448 32799 32886 33408 33466 33696 34307 34944 35322 36192 36288 36351 36504 36928 37584 37856 38976 39208 39312 40368 40716 41067 41472 41544 42224 42588 43264 43732 43848 44109 44226 44544 44928 45006 45414 46592 46737 47096 47502 48256 48384 48468 48672 49329 50112 50199 50544 51968 52416 52507 52983 53824 54288 54432 54756 55392 56376 56784 58464 58812 58968 59904 60008 60552 61074 62208 62316 63336 63882 64624 64896 65598 65772 66816 66932 67392 67509 68121 68614 69888 70644 71253 72384 72576 72702 73008 73856 75168 75712 76531 77952 78416 78624 80736 81432 82134 83088 84448 85176 86528 87464 87696 88218 88452 89856 90012 90828 91611 93474 94192 95004 95823 96512 96768 96936 97344 97513 98397 98658 100224 100398 101088 102921 103936 104832 105014 105966 107648 108576 108864 109053 109512 110784 112752 113568 116928 117131 117624 117936 120016 121104 122148 124416 124632 126672 127764 129248 129792 131196 131544 132327 133632 133864 134784 135018 136242 137228 139776 140211 141288 142129 142506 144768 145152 145404 146016 147712 150336 150597 151424 153062 155904 156832 157248 157521 158949 161472 162864 164268 166176 168896 170352 174928 175392 176436 176904 179712 180024 181656 183222 186948 188384 190008 191646 193024 193872 194688 195026 196794 197316 200448 200796 202176 202527 204363 205842 209664 210028 211932 213759 215296 217152 217529 217728 218106 219024 221568 225504 227136 229593 233856 234262 235248 235872 240032 242208 244296 249264 253344 255528 258496 259584 262392 263088 264654 267728 269568 270036 272484 274456 280422 282576 284258 285012 287469 289536 290304 290808 292032 292539 295191 295424 300672 301194 302848 306124 308763 311808 313664 314496 315042 317898 322944 325728 327159 328536 332352 337792 340704 349856 350784 351393 352872 353808 360048 363312 366444 373896 376768 380016 383292 387744 389376 390052 393588 394632 396981 400896 401592 404352 405054 408726 411684 419328 420056 423864 426387 427518 430592 434304 435058 435456 436212 438048 443136 451008 451791 454272 459186 467712 468524 470496 471744 472563 476847 480064 484416 485257 488592 498528 506688 511056 516992 524784 526176 529308 535456 539136 540072 544968 548912 560844 565152 568516 570024 574938 579072 581616 584064 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2645264014848 2747004938496 2975922016704 3401053733376 3967896022272 4463883025056 5101580600064 5494009876992 5951844033408 7935792044544 8927766050112 10203161200128 11903688066816 17855532100224 23807376133632 35711064200448 71422128400896
- Sum of all divisors σ(n): 274450538666304
- Sum of proper divisors (its aliquot sum) s(n): 203028410265408
- 71422128400896 is an abundant number, because the sum of its proper divisors (203028410265408) is greater than itself. Its abundance is 131606281864512
Bases of 71422128400896
- Binary: 100000011110101010000101001011110101010000000002
- Hexadecimal: 0x40F54297AA00
- Base-36: PBEVF6O00
Squares and roots of 71422128400896
- 71422128400896 squared (714221284008962) is 5101120425314075014093602816
- 71422128400896 cubed (714221284008963) is 364332878005215079884906521155581442523136
-
The
square root of 71422128400896 is 8451161.3640313365 -
The
cube root of 71422128400896 is 41490.0790918919
Scales and comparisons
How big is 71422128400896?- 71,422,128,400,896 seconds is equal to 2,271,002 years, 39 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 71,422,128,400,896 would take you about five million, six hundred seventy-seven thousand, five hundred six 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 71422128400896 cubic inches would be around 3457.5 feet tall.
Recreational maths with 71422128400896
- 71422128400896 backwards is 69800482122417
- 71422128400896 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 71422128400896's digits is 54
- More coming soon!
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"Number 71422128400896 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 71422128400896 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/71422128400896/
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Numbermatics. 2024. "Number 71422128400896 - Facts about the integer". https://numbermatics.com/n/71422128400896/
The information we have on file for 71422128400896 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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