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34421441004 = 22324322236073
BaseRepresentation
bin100000000011101011…
…011000000111101100
310021211220000101012100
4200003223120013230
51030443342103004
623451334535100
72325665264256
oct400353300754
9107756011170
1034421441004
1113664008105
126807807490
1333273c4392
141947744cd6
15d66d9a739
hex803ad81ec

34421441004 has 36 divisors (see below), whose sum is σ = 89033240296. Its totient is φ = 11206980288.

The previous prime is 34421440973. The next prime is 34421441027. The reversal of 34421441004 is 40014412443.

34421441004 is a `hidden beast` number, since 34 + 4 + 214 + 410 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11116489 + ... + 11119584.

Almost surely, 234421441004 is an apocalyptic number.

It is an amenable number.

34421441004 is an abundant number, since it is smaller than the sum of its proper divisors (54611799292).

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

34421441004 is a wasteful number, since it uses less digits than its factorization.

34421441004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22236126 (or 22236121 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34421441004 its reverse (40014412443), we get a palindrome (74435853447).

The spelling of 34421441004 in words is "thirty-four billion, four hundred twenty-one million, four hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 22236073 44472146 66708219 88944292 133416438 200124657 266832876 400249314 800498628 956151139 1912302278 2868453417 3824604556 5736906834 8605360251 11473813668 17210720502 34421441004