Search a number
-
+
398520000000 = 29355741
BaseRepresentation
bin1011100110010011010…
…01001001111000000000
31102002122112200120200000
411303021221021320000
523012132110000000
6503024430400000
740535461052133
oct5631151117000
91362575616600
10398520000000
11144014172501
126529b660000
132b770b2c4b5
14154077c821a
15a576a00000
hex5cc9a49e00

398520000000 has 960 divisors, whose sum is σ = 1527303121344. Its totient is φ = 103680000000.

The previous prime is 398519999971. The next prime is 398520000013. The reversal of 398520000000 is 25893.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 12300 × 2700 × 12000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9719999980 + ... + 9720000020.

Almost surely, 2398520000000 is an apocalyptic number.

398520000000 is a gapful number since it is divisible by the number (30) 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 398520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763651560672).

398520000000 is an abundant number, since it is smaller than the sum of its proper divisors (1128783121344).

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

398520000000 is an frugal number, since it uses more digits than its factorization.

398520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 398520000000 its reverse (25893), we get a palindrome (398520025893).

The spelling of 398520000000 in words is "three hundred ninety-eight billion, five hundred twenty million", and thus it is an aban number.