Search a number
-
+
43015263840 = 2534529114451
BaseRepresentation
bin101000000011111010…
…001101011001100000
311010000210210210220000
4220003322031121200
51201043401420330
631432210220000
73051646465323
oct500372153140
9133023723800
1043015263840
1117273aa442a
128405884600
13409697c553
142120c287ba
1511bb593560
hexa03e8d660

43015263840 has 240 divisors, whose sum is σ = 157044167280. Its totient is φ = 11075097600.

The previous prime is 43015263833. The next prime is 43015263887. The reversal of 43015263840 is 4836251034.

43015263840 is a `hidden beast` number, since 4 + 3 + 0 + 15 + 2 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43015263795 and 43015263804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318615 + ... + 433065.

It is an arithmetic number, because the mean of its divisors is an integer number (654350697).

Almost surely, 243015263840 is an apocalyptic number.

43015263840 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 43015263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78522083640).

43015263840 is an abundant number, since it is smaller than the sum of its proper divisors (114028903440).

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

43015263840 is a wasteful number, since it uses less digits than its factorization.

43015263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114507 (or 114490 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 43015263840 in words is "forty-three billion, fifteen million, two hundred sixty-three thousand, eight hundred forty".