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11434141000344 = 2331747596273519
BaseRepresentation
bin1010011001100011011111…
…1010011010001010011000
31111111002111221112120020110
42212120313322122022120
52444314110044002334
640152434415524320
72260042446614436
oct246306772321230
944432457476213
1011434141000344
113709212564177
12134801a8296a0
1364c30901663a
142b75b5b1bd56
1514c665504ae9
hexa6637e9a298

11434141000344 has 64 divisors (see below), whose sum is σ = 30910819276800. Its totient is φ = 3510858473984.

The previous prime is 11434141000309. The next prime is 11434141000351. The reversal of 11434141000344 is 44300014143411.

11434141000344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×114341410003444 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298117584 + ... + 298155935.

It is an arithmetic number, because the mean of its divisors is an integer number (482981551200).

Almost surely, 211434141000344 is an apocalyptic number.

It is an amenable number.

11434141000344 is an abundant number, since it is smaller than the sum of its proper divisors (19476678276456).

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

11434141000344 is a wasteful number, since it uses less digits than its factorization.

11434141000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596273592 (or 596273588 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11434141000344 its reverse (44300014143411), we get a palindrome (55734155143755).

The spelling of 11434141000344 in words is "eleven trillion, four hundred thirty-four billion, one hundred forty-one million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1598 2397 3196 4794 6392 9588 19176 596273519 1192547038 1788820557 2385094076 3577641114 4770188152 7155282228 10136649823 14310564456 20273299646 28024855393 30409949469 40546599292 56049710786 60819898938 81093198584 84074566179 112099421572 121639797876 168149132358 224198843144 243279595752 336298264716 476422541681 672596529432 952845083362 1429267625043 1905690166724 2858535250086 3811380333448 5717070500172 11434141000344