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43134159432 = 233721317295997
BaseRepresentation
bin101000001010111111…
…110000101001001000
311010100002112022222110
4220022333300221020
51201314321100212
631452054422320
73054622206600
oct501277605110
9133302468873
1043134159432
1117325121451
1284396619a0
1340b54aa880
142132937c00
1511c6c2ba3c
hexa0aff0a48

43134159432 has 768 divisors, whose sum is σ = 152028576000. Its totient is φ = 10057678848.

The previous prime is 43134159427. The next prime is 43134159437. The reversal of 43134159432 is 23495143134.

It is an interprime number because it is at equal distance from previous prime (43134159427) and next prime (43134159437).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (43134159437) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 444682008 + ... + 444682104.

It is an arithmetic number, because the mean of its divisors is an integer number (197953875).

Almost surely, 243134159432 is an apocalyptic number.

43134159432 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 43134159432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76014288000).

43134159432 is an abundant number, since it is smaller than the sum of its proper divisors (108894416568).

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

43134159432 is a wasteful number, since it uses less digits than its factorization.

43134159432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

It can be divided in two parts, 43134 and 159432, that added together give a triangular number (202566 = T636).

The spelling of 43134159432 in words is "forty-three billion, one hundred thirty-four million, one hundred fifty-nine thousand, four hundred thirty-two".