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43140936960 = 2838511467
BaseRepresentation
bin101000001011011001…
…100111010100000000
311010100120021200000000
4220023121213110000
51201323034440320
631452500000000
73055033625262
oct501331472400
9133316250000
1043140936960
1117328a30510
12843b990000
1340b6a11744
1421337bdb32
1511c7619c90
hexa0b667500

43140936960 has 648 divisors, whose sum is σ = 169448793696. Its totient is φ = 10436014080.

The previous prime is 43140936887. The next prime is 43140936961. The reversal of 43140936960 is 6963904134.

43140936960 is a `hidden beast` number, since 431 + 40 + 93 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×431409369602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43140936961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92378647 + ... + 92379113.

It is an arithmetic number, because the mean of its divisors is an integer number (261495052).

Almost surely, 243140936960 is an apocalyptic number.

43140936960 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 43140936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84724396848).

43140936960 is an abundant number, since it is smaller than the sum of its proper divisors (126307856736).

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

43140936960 is an frugal number, since it uses more digits than its factorization.

43140936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

It can be divided in two parts, 43140 and 936960, that added together give a square (980100 = 9902).

The spelling of 43140936960 in words is "forty-three billion, one hundred forty million, nine hundred thirty-six thousand, nine hundred sixty".