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4344112114434 = 23223101103891331
BaseRepresentation
bin111111001101110001010…
…000100110101100000010
3120101021220122100022201100
4333031301100212230002
51032133220200130214
613123354010515230
7625565101502211
oct77156120465402
916337818308640
104344112114434
111425367046394
125a1b02435b16
132568568c3bb1
14110382c29078
1578001170309
hex3f371426b02

4344112114434 has 48 divisors (see below), whose sum is σ = 9918713248704. Its totient is φ = 1371365556000.

The previous prime is 4344112114429. The next prime is 4344112114519.

4344112114434 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 1 + 1 + 211 + 4 + 434 = 666.

4344112114434 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×43441121144342 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51903852 + ... + 51987479.

It is an arithmetic number, because the mean of its divisors is an integer number (206639859348).

Almost surely, 24344112114434 is an apocalyptic number.

4344112114434 is an abundant number, since it is smaller than the sum of its proper divisors (5574601134270).

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

4344112114434 is a wasteful number, since it uses less digits than its factorization.

4344112114434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103891463 (or 103891460 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 4344112114434 in words is "four trillion, three hundred forty-four billion, one hundred twelve million, one hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 4646 6969 13938 20907 41814 103891331 207782662 311673993 623347986 935021979 1870043958 2389500613 4779001226 7168501839 10493024431 14337003678 20986048862 21505505517 31479073293 43011011034 62958146586 94437219879 188874439758 241339561913 482679123826 724018685739 1448037371478 2172056057217 4344112114434