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43540213644 = 223243238111813
BaseRepresentation
bin101000100011001100…
…101110111110001100
311011101101121000122100
4220203030232332030
51203132243314034
632000241515100
73100652465244
oct504314567614
9134341530570
1043540213644
1117513351a44
128531642a90
13414b65ba35
142170836b24
1511ec6d9099
hexa2332ef8c

43540213644 has 72 divisors (see below), whose sum is σ = 112676355792. Its totient is φ = 14168730240.

The previous prime is 43540213637. The next prime is 43540213649. The reversal of 43540213644 is 44631204534.

43540213644 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 0 + 2 + 1 + 3 + 644 = 666.

43540213644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 43540213599 and 43540213608.

It is not an unprimeable number, because it can be changed into a prime (43540213649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3679882 + ... + 3691694.

It is an arithmetic number, because the mean of its divisors is an integer number (1564949386).

Almost surely, 243540213644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43540213644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56338177896).

43540213644 is an abundant number, since it is smaller than the sum of its proper divisors (69136142148).

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

43540213644 is a wasteful number, since it uses less digits than its factorization.

43540213644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14247 (or 14242 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 43540213644 in words is "forty-three billion, five hundred forty million, two hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2381 4762 7143 9524 11813 14286 21429 23626 28572 35439 42858 47252 70878 85716 102383 106317 141756 204766 212634 307149 409532 425268 507959 614298 921447 1015918 1228596 1523877 1842894 2031836 3047754 3685788 4571631 6095508 9143262 18286524 28126753 56253506 84380259 112507012 168760518 253140777 337521036 506281554 1012563108 1209450379 2418900758 3628351137 4837801516 7256702274 10885053411 14513404548 21770106822 43540213644