Search a number
-
+
43144173440 = 275131951109
BaseRepresentation
bin101000001011100101…
…111101011110000000
311010100210101002121122
4220023211331132000
51201324402022230
631453053211412
73055103265134
oct501345753600
9133323332548
1043144173440
111732a841095
128440a90b68
1340b75a5914
142133dc33c4
1511c7a58be5
hexa0b97d780

43144173440 has 64 divisors (see below), whose sum is σ = 103221756000. Its totient is φ = 17244248064.

The previous prime is 43144173431. The next prime is 43144173463. The reversal of 43144173440 is 4437144134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×431441734402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43144173440.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 818606 + ... + 869714.

Almost surely, 243144173440 is an apocalyptic number.

43144173440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43144173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51610878000).

43144173440 is an abundant number, since it is smaller than the sum of its proper divisors (60077582560).

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

43144173440 is a wasteful number, since it uses less digits than its factorization.

43144173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52447 (or 52435 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 43144173440 in words is "forty-three billion, one hundred forty-four million, one hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1319 2638 5276 6595 10552 13190 21104 26380 42208 51109 52760 84416 102218 105520 168832 204436 211040 255545 408872 422080 511090 817744 844160 1022180 1635488 2044360 3270976 4088720 6541952 8177440 16354880 32709760 67412771 134825542 269651084 337063855 539302168 674127710 1078604336 1348255420 2157208672 2696510840 4314417344 5393021680 8628834688 10786043360 21572086720 43144173440