Search a number
-
+
998142513480 = 233857599209
BaseRepresentation
bin11101000011001011110…
…11100001000101001000
310112102101021020100000000
432201211323201011020
5112323143440412410
62042312414043000
7132053621243310
oct16414573410510
93472337210000
10998142513480
11355345477872
12141543aa9460
13731804cb8a8
143644b888440
151ae6d654dc0
hexe865ee1148

998142513480 has 576 divisors, whose sum is σ = 3915458352000. Its totient is φ = 224255609856.

The previous prime is 998142513457. The next prime is 998142513491. The reversal of 998142513480 is 84315241899.

It is a happy number.

998142513480 is a `hidden beast` number, since 9 + 9 + 8 + 1 + 42 + 513 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108383116 + ... + 108392324.

It is an arithmetic number, because the mean of its divisors is an integer number (6797670750).

Almost surely, 2998142513480 is an apocalyptic number.

998142513480 is a gapful number since it is divisible by the number (90) 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 998142513480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957729176000).

998142513480 is an abundant number, since it is smaller than the sum of its proper divisors (2917315838520).

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

998142513480 is an equidigital number, since it uses as much as digits as its factorization.

998142513480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 998142513480 in words is "nine hundred ninety-eight billion, one hundred forty-two million, five hundred thirteen thousand, four hundred eighty".