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42004243100 = 22524726833331
BaseRepresentation
bin100111000111101001…
…011110001010011100
311000102100101122011102
4213013221132022130
51142011041234400
631144012412232
73014622114101
oct470751361234
9130370348142
1042004243100
11168a53335a6
128183177078
133c65384021
14206684caa8
15115c9369d5
hex9c7a5e29c

42004243100 has 72 divisors (see below), whose sum is σ = 93151204608. Its totient is φ = 16433150400.

The previous prime is 42004243079. The next prime is 42004243111. The reversal of 42004243100 is 134240024.

It is a super-2 number, since 2×420042431002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12608435 + ... + 12611765.

Almost surely, 242004243100 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 42004243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46575602304).

42004243100 is an abundant number, since it is smaller than the sum of its proper divisors (51146961508).

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

42004243100 is a wasteful number, since it uses less digits than its factorization.

42004243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42004243100 its reverse (134240024), we get a palindrome (42138483124).

The spelling of 42004243100 in words is "forty-two billion, four million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2683 3331 4700 5366 6662 10732 13324 13415 16655 26830 33310 53660 66620 67075 83275 126101 134150 156557 166550 252202 268300 313114 333100 504404 626228 630505 782785 1261010 1565570 2522020 3131140 3152525 3913925 6305050 7827850 8937073 12610100 15655700 17874146 35748292 44685365 89370730 178741460 223426825 420042431 446853650 840084862 893707300 1680169724 2100212155 4200424310 8400848620 10501060775 21002121550 42004243100