42220457440
42,220,457,440 is an even composite number composed of seven prime numbers multiplied together.
42220457440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42220457440:
25 × 5 × 7 × 17 × 31 × 233 × 307
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 31 × 233 × 307)See below for interesting mathematical facts about the number 42220457440 from the Numbermatics database.
Names of 42220457440
- Cardinal: 42220457440 can be written as Forty-two billion, two hundred twenty million, four hundred fifty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.222045744 × 1010
Factors of 42220457440
Divisors of 42220457440
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 31 32 34 35 40 56 62 68 70 80 85 112 119 124 136 140 155 160 170 217 224 233 238 248 272 280 307 310 340 434 466 476 496 527 544 560 595 614 620 680 868 932 952 992 1054 1085 1120 1165 1190 1228 1240 1360 1535 1631 1736 1864 1904 2108 2149 2170 2330 2380 2456 2480 2635 2720 3070 3262 3472 3689 3728 3808 3961 4216 4298 4340 4660 4760 4912 4960 5219 5270 6140 6524 6944 7223 7378 7456 7922 8155 8432 8596 8680 9320 9517 9520 9824 10438 10540 10745 12280 13048 14446 14756 15844 16310 16864 17192 17360 18445 18640 19034 19040 19805 20876 21080 21490 24560 26095 26096 27727 28892 29512 31688 32620 34384 34720 36115 36533 36890 37280 38068 39610 41752 42160 42980 47585 49120 50561 52190 52192 55454 57784 59024 63376 65240 66619 68768 71531 72230 73066 73780 76136 79220 83504 84320 85960 95170 101122 104380 110908 115568 118048 122791 126752 130480 133238 138635 143062 144460 146132 147560 152272 158440 161789 167008 171920 182665 190340 202244 208760 221816 231136 245582 252805 260960 266476 277270 286124 288920 292264 295120 304544 316880 323578 333095 343840 357655 365330 380680 404488 417520 443632 491164 500717 505610 532952 554540 572248 577840 584528 590240 613955 633760 647156 666190 715310 730660 761360 808945 808976 835040 859537 887264 982328 1001434 1011220 1065904 1109080 1132523 1144496 1155680 1169056 1216027 1227910 1294312 1332380 1430620 1461320 1522720 1617890 1617952 1719074 1964656 2002868 2022440 2131808 2217461 2218160 2265046 2288992 2432054 2455820 2503585 2588624 2664760 2861240 2922640 3235780 3438148 3929312 4005736 4044880 4297685 4434922 4436320 4530092 4864108 4911640 5007170 5177248 5329520 5662615 5722480 5845280 6080135 6471560 6876296 8011472 8089760 8512189 8595370 8869844 9060184 9728216 9823280 10014340 10659040 11087305 11325230 11444960 12160270 12943120 13752592 15522227 16022944 17024378 17190740 17739688 18120368 19456432 19646560 20028680 22174610 22650460 24320540 25886240 27505184 31044454 34048756 34381480 35479376 36240736 37696837 38912864 40057360 42560945 44349220 45300920 48641080 62088908 68097512 68762960 70958752 75393674 77611135 80114720 85121890 88698440 90601840 97282160 124177816 136195024 137525920 150787348 155222270 170243780 177396880 181203680 188484185 194564320 248355632 263877859 272390048 301574696 310444540 340487560 354793760 376968370 496711264 527755718 603149392 620889080 680975120 753936740 1055511436 1206298784 1241778160 1319389295 1361950240 1507873480 2111022872 2483556320 2638778590 3015746960 4222045744 5277557180 6031493920 8444091488 10555114360 21110228720 42220457440
- Sum of all divisors σ(n): 125536739328
- Sum of proper divisors (its aliquot sum) s(n): 83316281888
- 42220457440 is an abundant number, because the sum of its proper divisors (83316281888) is greater than itself. Its abundance is 41095824448
Bases of 42220457440
- Binary: 1001110101001000100100001101111000002
- Hexadecimal: 0x9D4890DE0
- Base-36: JE8YXGG
Squares and roots of 42220457440
- 42220457440 squared (422204574402) is 1782567026442851353600
- 42220457440 cubed (422204574403) is 75260795273877760166915190784000
-
The
square root of 42220457440 is 205476.1724385579 -
The
cube root of 42220457440 is 3482.0979070907
Scales and comparisons
How big is 42220457440?- 42,220,457,440 seconds is equal to 1,342 years, 24 weeks, 6 days, 16 hours, 50 minutes, 40 seconds.
-
To count from 1 to 42,220,457,440 would take you about two thousand, six hundred eighty-four 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 42220457440 cubic inches would be around 290.2 feet tall.
Recreational maths with 42220457440
- 42220457440 backwards is 04475402224
- 42220457440 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42220457440's digits is 34
- More coming soon!
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