Search a number
-
+
43198977024 = 21036721181
BaseRepresentation
bin101000001110110111…
…000001010000000000
311010111121111102000000
4220032313001100000
51201432414231044
631502332000000
73056340150300
oct501667012000
9133447442000
1043198977024
1117358772905
128457300000
1340c5a53588
14213b3ab600
1511cc781d69
hexa0edc1400

43198977024 has 462 divisors, whose sum is σ = 150740633754. Its totient is φ = 12332113920.

The previous prime is 43198977023. The next prime is 43198977043. The reversal of 43198977024 is 42077989134.

It can be written as a sum of positive squares in only one way, i.e., 42284519424 + 914457600 = 205632^2 + 30240^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43198977023) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36577714 + ... + 36578894.

Almost surely, 243198977024 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 43198977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75370316877).

43198977024 is an abundant number, since it is smaller than the sum of its proper divisors (107541656730).

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

43198977024 is an equidigital number, since it uses as much as digits as its factorization.

43198977024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 43198977024 in words is "forty-three billion, one hundred ninety-eight million, nine hundred seventy-seven thousand, twenty-four".