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42123233000 = 2353471277057
BaseRepresentation
bin100111001110101111…
…011000011011101000
311000201122021221121202
4213032233120123220
51142232021424000
631203503023332
73020565400322
oct471657303350
9130648257552
1042123233000
1116956515462
1281b6b9ab48
133c83c16254
142078584612
1511680dcdd5
hex9cebd86e8

42123233000 has 128 divisors (see below), whose sum is σ = 101472583680. Its totient is φ = 16358630400.

The previous prime is 42123232939. The next prime is 42123233023. The reversal of 42123233000 is 33232124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5965472 + ... + 5972528.

It is an arithmetic number, because the mean of its divisors is an integer number (792754560).

Almost surely, 242123233000 is an apocalyptic number.

42123233000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42123233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50736291840).

42123233000 is an abundant number, since it is smaller than the sum of its proper divisors (59349350680).

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

42123233000 is a wasteful number, since it uses less digits than its factorization.

42123233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42123233000 its reverse (33232124), we get a palindrome (42156465124).

The spelling of 42123233000 in words is "forty-two billion, one hundred twenty-three million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 127 188 200 235 250 254 376 470 500 508 635 940 1000 1016 1175 1270 1880 2350 2540 3175 4700 5080 5875 5969 6350 7057 9400 11750 11938 12700 14114 15875 23500 23876 25400 28228 29845 31750 35285 47000 47752 56456 59690 63500 70570 119380 127000 141140 149225 176425 238760 282280 298450 331679 352850 596900 663358 705700 746125 882125 896239 1193800 1326716 1411400 1492250 1658395 1764250 1792478 2653432 2984500 3316790 3528500 3584956 4481195 5969000 6633580 7057000 7169912 8291975 8962390 13267160 16583950 17924780 22405975 33167900 35849560 41459875 42123233 44811950 66335800 82919750 84246466 89623900 112029875 165839500 168492932 179247800 210616165 224059750 331679000 336985864 421232330 448119500 842464660 896239000 1053080825 1684929320 2106161650 4212323300 5265404125 8424646600 10530808250 21061616500 42123233000