442142613264
442,142,613,264 is an even composite number composed of seven prime numbers multiplied together.
What does the number 442142613264 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
442142613264 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 442142613264:
24 × 3 × 112 × 19 × 31 × 307 × 421
(2 × 2 × 2 × 2 × 3 × 11 × 11 × 19 × 31 × 307 × 421)See below for interesting mathematical facts about the number 442142613264 from the Numbermatics database.
Names of 442142613264
- Cardinal: 442142613264 can be written as Four hundred forty-two billion, one hundred forty-two million, six hundred thirteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 4.42142613264 × 1011
Factors of 442142613264
Divisors of 442142613264
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 19 22 24 31 33 38 44 48 57 62 66 76 88 93 114 121 124 132 152 176 186 209 228 242 248 264 304 307 341 363 372 418 421 456 484 496 528 589 614 627 682 726 744 836 842 912 921 968 1023 1178 1228 1254 1263 1364 1452 1488 1672 1684 1767 1842 1936 2046 2299 2356 2456 2508 2526 2728 2904 3344 3368 3377 3534 3684 3751 4092 4598 4631 4712 4912 5016 5052 5456 5808 5833 6479 6736 6754 6897 7068 7368 7502 7999 8184 9196 9262 9424 9517 10032 10104 10131 11253 11666 12958 13051 13508 13794 13893 14136 14736 15004 15998 16368 17499 18392 18524 19034 19437 20208 20262 22506 23332 23997 25916 26102 27016 27588 27786 28272 28551 30008 31996 34998 36784 37048 37147 38068 38874 39153 40524 45012 46664 47994 50941 51832 52204 54032 55176 55572 57102 60016 63992 64163 69996 71269 74096 74294 76136 77748 78306 81048 87989 90024 93328 95988 101882 103664 104408 104687 110352 111144 111441 114204 127984 128326 129247 139992 142538 143561 148588 152272 152823 155496 156612 162096 175978 180048 180823 191976 192489 203764 208816 209374 213807 222288 222882 228408 247969 256652 258494 263967 279984 285076 287122 297176 305646 310992 313224 314061 351956 361646 383952 384978 387741 407528 418748 427614 430683 445764 456816 495938 513304 516988 527934 542469 570152 574244 594352 611292 626448 628122 703912 705793 723292 743907 769956 775482 815056 837496 855228 861366 891528 967879 991876 1026608 1033976 1055868 1084938 1140304 1148488 1151557 1222584 1256244 1407824 1411586 1421717 1446584 1487814 1539912 1550964 1579171 1674992 1710456 1722732 1783056 1935758 1983752 1989053 2067952 2111736 2117379 2169876 2296976 2303114 2445168 2455693 2512488 2727659 2823172 2843434 2893168 2903637 2975628 3079824 3101928 3158342 3420912 3445464 3454671 3871516 3967504 3978106 4006657 4223472 4234758 4265151 4339752 4606228 4737513 4911386 5024976 5455318 5646344 5686868 5807274 5951256 5967159 6203856 6316684 6890928 6909342 7367079 7743032 7956212 8013314 8182977 8469516 8530302 8679504 9212456 9475026 9822772 10910636 11292688 11373736 11614548 11902512 11934318 12019971 12633368 13818684 14734158 15486064 15638887 15912424 16026628 16365954 16939032 17060604 18424912 18950052 19645544 21821272 21879583 22747472 23229096 23868636 24039942 25266736 27012623 27637368 29468316 30004249 31277774 31824848 32053256 32731908 33878064 34121208 37900104 39291088 43642544 43759166 44073227 46458192 46916661 47737272 48079884 54025246 55274736 58936632 60008498 62555548 64106512 65463816 65638749 68242416 75800208 76126483 81037869 87518332 88146454 90012747 93833322 95474544 96159768 108050492 117873264 120016996 125111096 130927632 131277498 132219681 152252966 162075738 175036664 176292908 180025494 187666644 192319536 216100984 228379449 240033992 250222192 262554996 264439362 297138853 304505932 324151476 350073328 352585816 360050988 375333288 432201968 456758898 480067984 484805497 525109992 528878724 594277706 609011864 648302952 705171632 720101976 750666576 837391313 891416559 913517796 969610994 1050219984 1057757448 1188555412 1218023728 1296605904 1440203952 1454416491 1674782626 1782833118 1827035592 1939221988 2115514896 2377110824 2512173939 2908832982 3349565252 3565666236 3654071184 3878443976 4754221648 5024347878 5817665964 6699130504 7131332472 7756887952 9211304443 10048695756 11635331928 13398261008 14262664944 18422608886 20097391512 23270663856 27633913329 36845217772 40194783024 55267826658 73690435544 110535653316 147380871088 221071306632 442142613264
- Sum of all divisors σ(n): 1371881082880
- Sum of proper divisors (its aliquot sum) s(n): 929738469616
- 442142613264 is an abundant number, because the sum of its proper divisors (929738469616) is greater than itself. Its abundance is 487595856352
Bases of 442142613264
- Binary: 1100110111100011100000011011111000100002
- Hexadecimal: 0x66F1C0DF10
- Base-36: 5N48ANTC
Squares and roots of 442142613264
- 442142613264 squared (4421426132642) is 195490090463919068733696
- 442142613264 cubed (4421426132643) is 86434499464932943152917584733343744
-
The
square root of 442142613264 is 664938.0522003535 -
The
cube root of 442142613264 is 7618.2307788965
Scales and comparisons
How big is 442142613264?- 442,142,613,264 seconds is equal to 14,058 years, 39 weeks, 6 days, 8 hours, 34 minutes, 24 seconds.
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To count from 1 to 442,142,613,264 would take you about twenty-eight thousand, one hundred seventeen 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 442142613264 cubic inches would be around 634.9 feet tall.
Recreational maths with 442142613264
- 442142613264 backwards is 462316241244
- The number of decimal digits it has is: 12
- The sum of 442142613264's digits is 39
- More coming soon!
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