Search a number
-
+
43195880448 = 2103371719691
BaseRepresentation
bin101000001110101011…
…001101010000000000
311010111101200002022000
4220032223031100000
51201431121133243
631502141344000
73056301632340
oct501653152000
9133441602260
1043195880448
1117356a48356
128456268000
1340c520ac96
14213ac02d20
1511cc36e5d3
hexa0eacd400

43195880448 has 704 divisors, whose sum is σ = 163183564800. Its totient is φ = 10988421120.

The previous prime is 43195880423. The next prime is 43195880449. The reversal of 43195880448 is 84408859134.

It is a happy number.

43195880448 is a `hidden beast` number, since 4 + 3 + 19 + 588 + 0 + 4 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 43195880394 and 43195880403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43195880449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62511783 + ... + 62512473.

Almost surely, 243195880448 is an apocalyptic number.

43195880448 is a gapful number since it is divisible by the number (48) 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 43195880448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81591782400).

43195880448 is an abundant number, since it is smaller than the sum of its proper divisors (119987684352).

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

43195880448 is a wasteful number, since it uses less digits than its factorization.

43195880448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 43195880448 in words is "forty-three billion, one hundred ninety-five million, eight hundred eighty thousand, four hundred forty-eight".