Search a number
-
+
4319001433328 = 2419421322110477
BaseRepresentation
bin111110110110011000100…
…010111101010011110000
3120021220002122011112222012
4332312120202331103300
51031230303331331303
613104042153502052
7624015611311331
oct76663042752360
916256078145865
104319001433328
111415750792a7a
12599074a11928
132543844772ca
1410d07dcb0288
15775318d85d8
hex3ed988bd4f0

4319001433328 has 80 divisors (see below), whose sum is σ = 8832996750240. Its totient is φ = 2040154905600.

The previous prime is 4319001433321. The next prime is 4319001433343. The reversal of 4319001433328 is 8233341009134.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4319001433321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412231226 + ... + 412241702.

It is an arithmetic number, because the mean of its divisors is an integer number (110412459378).

Almost surely, 24319001433328 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 4319001433328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416498375120).

4319001433328 is an abundant number, since it is smaller than the sum of its proper divisors (4513995316912).

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

4319001433328 is a wasteful number, since it uses less digits than its factorization.

4319001433328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146 (or 14140 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 4319001433328 in words is "four trillion, three hundred nineteen billion, one million, four hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 421 842 1684 3221 3368 6442 6736 7999 10477 12884 15998 20954 25768 31996 41908 51536 61199 63992 83816 122398 127984 167632 199063 244796 398126 489592 796252 979184 1356041 1592504 2712082 3185008 4410817 5424164 8821634 10848328 17643268 21696656 25764779 33746417 35286536 51529558 67492834 70573072 83805523 103059116 134985668 167611046 206118232 269971336 335222092 412236464 539942672 641181923 670444184 1282363846 1340888368 2564727692 5129455384 10258910768 14207241557 28414483114 56828966228 113657932456 227315864912 269937589583 539875179166 1079750358332 2159500716664 4319001433328