Search a number
-
+
1398702407128 = 23131723314012767
BaseRepresentation
bin10100010110101001001…
…010001111110111011000
311221201021222100020200121
4110112221022033313120
5140404020304012003
62550315514443024
7203024102203315
oct24265112176730
94851258306617
101398702407128
1149a206054594
121a70b2733474
13a1b87b32740
144b9aa153d0c
15265b4297cbd
hex145a928fdd8

1398702407128 has 256 divisors, whose sum is σ = 3230317117440. Its totient is φ = 560812032000.

The previous prime is 1398702407033. The next prime is 1398702407129. The reversal of 1398702407128 is 8217042078931.

It is a super-2 number, since 2×13987024071282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398702407129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505492801 + ... + 505495567.

It is an arithmetic number, because the mean of its divisors is an integer number (12618426240).

Almost surely, 21398702407128 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 1398702407128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615158558720).

1398702407128 is an abundant number, since it is smaller than the sum of its proper divisors (1831614710312).

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

1398702407128 is a wasteful number, since it uses less digits than its factorization.

1398702407128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 1398702407128 in words is "one trillion, three hundred ninety-eight billion, seven hundred two million, four hundred seven thousand, one hundred twenty-eight".