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43214757012 = 22337125945403
BaseRepresentation
bin101000001111110011…
…001101110010010100
311010112201012010002000
4220033303031302110
51202000434211022
631504054115300
73056621242140
oct501763156224
9133481163060
1043214757012
1117366670619
12846064bb30
1340c90b9c4b
14213d518220
1511cdd4c6ac
hexa0fccdc94

43214757012 has 96 divisors (see below), whose sum is σ = 128148249600. Its totient is φ = 12336994656.

The previous prime is 43214756999. The next prime is 43214757013. The reversal of 43214757012 is 21075741234.

43214757012 is a `hidden beast` number, since 4 + 32 + 1 + 47 + 570 + 12 = 666.

43214757012 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (43214757013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929103 + ... + 974505.

It is an arithmetic number, because the mean of its divisors is an integer number (1334877600).

Almost surely, 243214757012 is an apocalyptic number.

43214757012 is a gapful number since it is divisible by the number (42) 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 43214757012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64074124800).

43214757012 is an abundant number, since it is smaller than the sum of its proper divisors (84933492588).

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

43214757012 is a wasteful number, since it uses less digits than its factorization.

43214757012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46682 (or 46674 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 43214757012 in words is "forty-three billion, two hundred fourteen million, seven hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1259 2518 3777 5036 7554 8813 11331 15108 17626 22662 26439 33993 35252 45324 45403 52878 67986 79317 90806 105756 135972 136209 158634 181612 237951 272418 317268 317821 408627 475902 544836 635642 817254 951804 953463 1225881 1271284 1634508 1906926 2451762 2860389 3813852 4903524 5720778 8581167 11441556 17162334 34324668 57162377 114324754 171487131 228649508 342974262 400136639 514461393 685948524 800273278 1028922786 1200409917 1543384179 1600546556 2057845572 2400819834 3086768358 3601229751 4801639668 6173536716 7202459502 10803689253 14404919004 21607378506 43214757012