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43424412122131 = 1947213116747293
BaseRepresentation
bin10011101111110100010001…
…01010001011110000010011
312200202022222221110221201221
421313322020222023300103
521142431144000402011
6232204522144305511
712101211261602425
oct1167721052136023
9180668887427657
1043424412122131
111292220a630897
124a53b37912297
131b2cb9b229081
14aa1a7780c815
1550487e105971
hex277e88a8bc13

43424412122131 has 48 divisors (see below), whose sum is σ = 47342459324160. Its totient is φ = 39716165885760.

The previous prime is 43424412122129. The next prime is 43424412122159. The reversal of 43424412122131 is 13122121442434.

43424412122131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 43424412122131 - 21 = 43424412122129 is a prime.

It is a super-2 number, since 2×434244121221312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43424412122191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918175921 + ... + 918223213.

It is an arithmetic number, because the mean of its divisors is an integer number (986301235920).

Almost surely, 243424412122131 is an apocalyptic number.

43424412122131 is a deficient number, since it is larger than the sum of its proper divisors (3918047202029).

43424412122131 is a wasteful number, since it uses less digits than its factorization.

43424412122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47704 (or 47657 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

Adding to 43424412122131 its reverse (13122121442434), we get a palindrome (56546533564565).

The spelling of 43424412122131 in words is "forty-three trillion, four hundred twenty-four billion, four hundred twelve million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 19 47 131 167 893 2209 2489 3173 6157 7849 21877 41971 47293 116983 149131 289379 368903 415663 898567 1028219 2222771 5498201 6195383 7009157 7897931 19536161 42232649 48326293 104470237 117712277 150060689 291183001 371202757 918199567 1034628961 1984934503 5532477019 7052852383 13685601047 17446529579 19657950259 48627561167 260026419893 331484062001 923923662173 2285495374849 43424412122131