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42524631300 = 223521731268973
BaseRepresentation
bin100111100110101010…
…100110000100000100
311001202121121002120110
4213212222212010010
51144042301200200
631311402233020
73033541254624
oct474652460404
9131677532513
1042524631300
1117042055998
1282a94b5770
134019127138
1420b59d0884
15118d47ab50
hex9e6aa6104

42524631300 has 144 divisors (see below), whose sum is σ = 134478392832. Its totient is φ = 10328524800.

The previous prime is 42524631287. The next prime is 42524631311. The reversal of 42524631300 is 313642524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23614 + ... + 292586.

It is an arithmetic number, because the mean of its divisors is an integer number (933877728).

Almost surely, 242524631300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42524631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67239196416).

42524631300 is an abundant number, since it is smaller than the sum of its proper divisors (91953761532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42524631300 is a wasteful number, since it uses less digits than its factorization.

42524631300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269038 (or 269031 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 42524631300 in words is "forty-two billion, five hundred twenty-four million, six hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 150 155 170 186 204 255 300 310 340 372 425 465 510 527 620 775 850 930 1020 1054 1275 1550 1581 1700 1860 2108 2325 2550 2635 3100 3162 4650 5100 5270 6324 7905 9300 10540 13175 15810 26350 31620 39525 52700 79050 158100 268973 537946 806919 1075892 1344865 1613838 2689730 3227676 4034595 4572541 5379460 6724325 8069190 8338163 9145082 13448650 13717623 16138380 16676326 18290164 20172975 22862705 25014489 26897300 27435246 33352652 40345950 41690815 45725410 50028978 54870492 68588115 80691900 83381630 91450820 100057956 114313525 125072445 137176230 141748771 166763260 208454075 228627050 250144890 274352460 283497542 342940575 416908150 425246313 457254100 500289780 566995084 625362225 685881150 708743855 833816300 850492626 1250724450 1371762300 1417487710 1700985252 2126231565 2501448900 2834975420 3543719275 4252463130 7087438550 8504926260 10631157825 14174877100 21262315650 42524631300