47302131200
47,302,131,200 is an even composite number composed of six prime numbers multiplied together.
47302131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 47302131200:
29 × 52 × 23 × 31 × 71 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 31 × 71 × 73)See below for interesting mathematical facts about the number 47302131200 from the Numbermatics database.
Names of 47302131200
- Cardinal: 47302131200 can be written as Forty-seven billion, three hundred two million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 4.73021312 × 1010
Factors of 47302131200
Divisors of 47302131200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 62 64 71 73 80 92 100 115 124 128 142 146 155 160 184 200 230 248 256 284 292 310 320 355 365 368 400 460 496 512 568 575 584 620 640 710 713 730 736 775 800 920 992 1136 1150 1168 1240 1280 1420 1426 1460 1472 1550 1600 1633 1679 1775 1825 1840 1984 2201 2263 2272 2300 2336 2480 2560 2840 2852 2920 2944 3100 3200 3266 3358 3550 3565 3650 3680 3968 4402 4526 4544 4600 4672 4960 5183 5680 5704 5840 5888 6200 6400 6532 6716 7100 7130 7300 7360 7936 8165 8395 8804 9052 9088 9200 9344 9920 10366 11005 11315 11360 11408 11680 11776 12400 12800 13064 13432 14200 14260 14600 14720 15872 16330 16790 17608 17825 18104 18176 18400 18688 19840 20732 22010 22630 22720 22816 23360 24800 25915 26128 26864 28400 28520 29200 29440 32660 33580 35216 35650 36208 36352 36800 37376 39680 40825 41464 41975 44020 45260 45440 45632 46720 49600 50623 51830 52049 52256 53728 55025 56575 56800 57040 58400 58880 65320 67160 70432 71300 72416 73600 79360 81650 82928 83950 88040 90520 90880 91264 93440 99200 101246 103660 104098 104512 107456 110050 113150 113600 114080 116800 119209 129575 130640 134320 140864 142600 144832 147200 160673 163300 165856 167900 176080 181040 181760 182528 186880 198400 202492 207320 208196 209024 214912 220100 226300 227200 228160 233600 238418 253115 259150 260245 261280 268640 281728 285200 289664 294400 321346 326600 331712 335800 352160 362080 365056 396800 404984 414640 416392 418048 429824 440200 452600 454400 456320 467200 476836 506230 518300 520490 522560 537280 563456 570400 579328 596045 642692 653200 663424 671600 704320 724160 803365 809968 829280 832784 836096 859648 880400 905200 908800 912640 934400 953672 1012460 1036600 1040980 1045120 1074560 1126912 1140800 1158656 1192090 1265575 1285384 1301225 1306400 1326848 1343200 1408640 1448320 1606730 1619936 1658560 1665568 1760800 1810400 1825280 1907344 2024920 2073200 2081960 2090240 2149120 2281600 2384180 2531150 2570768 2602450 2612800 2653696 2686400 2817280 2896640 2980225 3213460 3239872 3317120 3331136 3521600 3620800 3695479 3814688 4016825 4049840 4146400 4163920 4180480 4298240 4563200 4768360 5062300 5141536 5204900 5225600 5372800 5634560 5793280 5960450 6426920 6479744 6634240 6662272 7043200 7241600 7390958 7629376 8033650 8099680 8292800 8327840 9126400 9536720 10124600 10283072 10409800 10451200 10745600 11920900 12853840 12959488 13268480 13324544 14086400 14483200 14781916 15258752 16067300 16199360 16585600 16655680 18477395 19073440 20249200 20566144 20819600 20902400 21491200 23841800 25707680 25918976 26649088 28172800 28966400 29563832 30517504 32134600 32398720 33171200 33311360 36954790 38146880 40498400 41132288 41639200 47683600 51415360 59127664 61035008 64269200 64797440 66342400 66622720 73909580 76293760 80996800 82264576 83278400 92386975 95367200 102830720 118255328 128538400 129594880 133245440 147819160 152587520 161993600 166556800 184773950 190734400 205661440 236510656 257076800 295638320 305175040 323987200 333113600 369547900 381468800 411322880 473021312 514153600 591276640 647974400 666227200 739095800 762937600 946042624 1028307200 1182553280 1478191600 1525875200 1892085248 2056614400 2365106560 2956383200 4730213120 5912766400 9460426240 11825532800 23651065600 47302131200
- Sum of all divisors σ(n): 129766551552
- Sum of proper divisors (its aliquot sum) s(n): 82464420352
- 47302131200 is an abundant number, because the sum of its proper divisors (82464420352) is greater than itself. Its abundance is 35162289152
Bases of 47302131200
- Binary: 1011000000110110110100111110000000002
- Hexadecimal: 0xB036D3E00
- Base-36: LQAGU0W
Squares and roots of 47302131200
- 47302131200 squared (473021312002) is 2237491616062013440000
- 47302131200 cubed (473021312003) is 105838121981865387075043328000000
-
The
square root of 47302131200 is 217490.5312881459 -
The
cube root of 47302131200 is 3616.5424695849
Scales and comparisons
How big is 47302131200?- 47,302,131,200 seconds is equal to 1,504 years, 3 weeks, 1 day, 8 hours, 53 minutes, 20 seconds.
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To count from 1 to 47,302,131,200 would take you about three thousand and eight 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 47302131200 cubic inches would be around 301.4 feet tall.
Recreational maths with 47302131200
- 47302131200 backwards is 00213120374
- 47302131200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 47302131200's digits is 23
- More coming soon!
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