146385800352
146,385,800,352 is an even composite number composed of six prime numbers multiplied together.
146385800352 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 146385800352:
25 × 32 × 11 × 192 × 31 × 4129
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19 × 19 × 31 × 4129)See below for interesting mathematical facts about the number 146385800352 from the Numbermatics database.
Names of 146385800352
- Cardinal: 146385800352 can be written as One hundred forty-six billion, three hundred eighty-five million, eight hundred thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.46385800352 × 1011
Factors of 146385800352
Divisors of 146385800352
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 31 32 33 36 38 44 48 57 62 66 72 76 88 93 96 99 114 124 132 144 152 171 176 186 198 209 228 248 264 279 288 304 341 342 352 361 372 396 418 456 496 528 558 589 608 627 682 684 722 744 792 836 912 992 1023 1056 1083 1116 1178 1254 1364 1368 1444 1488 1584 1672 1767 1824 1881 2046 2166 2232 2356 2508 2728 2736 2888 2976 3069 3168 3249 3344 3534 3762 3971 4092 4129 4332 4464 4712 5016 5301 5456 5472 5776 6138 6479 6498 6688 7068 7524 7942 8184 8258 8664 8928 9424 10032 10602 10912 11191 11552 11913 12276 12387 12958 12996 14136 15048 15884 16368 16516 17328 18848 19437 20064 21204 22382 23826 24552 24774 25916 25992 28272 30096 31768 32736 33032 33573 34656 35739 37161 38874 42408 44764 45419 47652 49104 49548 51832 51984 56544 58311 60192 63536 66064 67146 71478 74322 77748 78451 84816 89528 90838 95304 98208 99096 100719 103664 103968 116622 123101 127072 127999 132128 134292 136257 142956 148644 155496 156902 169632 179056 181676 190608 198192 201438 207328 233244 235353 246202 255998 268584 272514 285912 297288 310992 313804 358112 363352 369303 381216 383997 396384 402876 408771 466488 470706 492404 511996 537168 545028 571824 594576 621984 627608 706059 726704 738606 767994 805752 817542 862961 932976 941412 984808 1023992 1074336 1090056 1107909 1143648 1151991 1189152 1255216 1407989 1412118 1453408 1477212 1490569 1535988 1611504 1635084 1725922 1865952 1882824 1969616 2047984 2180112 2215818 2303982 2431981 2510432 2588883 2815978 2824236 2954424 2981138 3071976 3223008 3270168 3451844 3765648 3939232 4095968 4223967 4360224 4431636 4471707 4607964 4863962 5177766 5631956 5648472 5908848 5962276 6143952 6540336 6903688 7295943 7531296 7766649 8447934 8863272 8943414 9215928 9727924 10355532 11263912 11296944 11817696 11924552 12287904 12671901 13080672 13415121 13807376 14591886 15533298 16396259 16895868 17726544 17886828 18431856 19455848 20711064 21887829 22527824 22593888 23849104 25343802 26751791 26830242 27614752 29183772 31066596 32792518 33791736 35453088 35773656 36863712 38911696 41422128 43775658 45055648 46207639 47698208 49188777 50687604 53503582 53660484 58367544 62133192 65585036 67583472 71547312 77823392 80255373 82844256 87551316 92415278 98377554 101375208 107007164 107320968 116735088 124266384 131170072 135166944 138622917 143094624 147566331 160510746 175102632 184830556 196755108 202750416 214014328 214641936 233470176 240766119 248532768 262340144 277245834 295132662 321021492 350205264 369661112 393510216 405500832 415868751 428028656 429283872 481532238 508284029 524680288 554491668 590265324 642042984 700410528 739322224 787020432 831737502 856057312 963064476 1016568058 1108983336 1180530648 1284085968 1478644448 1524852087 1574040864 1663475004 1926128952 2033136116 2217966672 2361061296 2568171936 3049704174 3326950008 3852257904 4066272232 4435933344 4574556261 4722122592 6099408348 6653900016 7704515808 8132544464 9149112522 12198816696 13307800032 16265088928 18298225044 24397633392 36596450088 48795266784 73192900176 146385800352
- Sum of all divisors σ(n): 494868890880
- Sum of proper divisors (its aliquot sum) s(n): 348483090528
- 146385800352 is an abundant number, because the sum of its proper divisors (348483090528) is greater than itself. Its abundance is 202097290176
Bases of 146385800352
- Binary: 100010000101010100011000001100101000002
- Hexadecimal: 0x2215460CA0
- Base-36: 1V8YBQG0
Squares and roots of 146385800352
- 146385800352 squared (1463858003522) is 21428802544695603323904
- 146385800352 cubed (1463858003523) is 3136872411090240144785198533214208
-
The
square root of 146385800352 is 382603.9732569437 -
The
cube root of 146385800352 is 5270.2714419101
Scales and comparisons
How big is 146385800352?- 146,385,800,352 seconds is equal to 4,654 years, 32 weeks, 2 hours, 19 minutes, 12 seconds.
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To count from 1 to 146,385,800,352 would take you about nine thousand, three hundred nine 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 146385800352 cubic inches would be around 439.2 feet tall.
Recreational maths with 146385800352
- 146385800352 backwards is 253008583641
- The number of decimal digits it has is: 12
- The sum of 146385800352's digits is 45
- More coming soon!
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