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34100420000 = 25541705021
BaseRepresentation
bin11111110000100010…
…110001110110100000
310021000111221211011112
4133300202301312200
51024314201420000
623355430202452
72315016534053
oct376042616640
9107014854145
1034100420000
1113509886299
1267381b3428
1332a5a4651a
141916c5ca9a
15d48ad8235
hex7f08b1da0

34100420000 has 60 divisors (see below), whose sum is σ = 83892197466. Its totient is φ = 13640160000.

The previous prime is 34100419987. The next prime is 34100420009. The reversal of 34100420000 is 2400143.

It can be written as a sum of positive squares in 5 ways, for example, as 257666704 + 33842753296 = 16052^2 + 183964^2 .

It is not an unprimeable number, because it can be changed into a prime (34100420009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 832511 + ... + 872510.

Almost surely, 234100420000 is an apocalyptic number.

It is an amenable number.

34100420000 is an abundant number, since it is smaller than the sum of its proper divisors (49791777466).

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

34100420000 is an equidigital number, since it uses as much as digits as its factorization.

34100420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705051 (or 1705028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 34100420000 its reverse (2400143), we get a palindrome (34102820143).

The spelling of 34100420000 in words is "thirty-four billion, one hundred million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 1705021 3410042 6820084 8525105 13640168 17050210 27280336 34100420 42625525 54560672 68200840 85251050 136401680 170502100 213127625 272803360 341004200 426255250 682008400 852510500 1065638125 1364016800 1705021000 2131276250 3410042000 4262552500 6820084000 8525105000 17050210000 34100420000