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141998200848 = 24311717421
BaseRepresentation
bin1000010000111111000…
…0001001100000010000
3111120112002200000000000
42010033300021200100
54311303014411343
6145122202130000
713154563535520
oct2041760114020
9446462600000
10141998200848
1155248311aa9
122362aab0900
131050c85946a
146c30b79680
153a6137aed3
hex210fc09810

141998200848 has 480 divisors, whose sum is σ = 500565461760. Its totient is φ = 38093690880.

The previous prime is 141998200819. The next prime is 141998200859. The reversal of 141998200848 is 848002899141.

It is a happy number.

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 = 141998200794 and 141998200803.

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, 337287678 + ... + 337288098.

It is an arithmetic number, because the mean of its divisors is an integer number (1042844712).

Almost surely, 2141998200848 is an apocalyptic number.

141998200848 is a gapful number since it is divisible by the number (18) 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 141998200848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250282730880).

141998200848 is an abundant number, since it is smaller than the sum of its proper divisors (358567260912).

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

141998200848 is an frugal number, since it uses more digits than its factorization.

141998200848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 141998200848 in words is "one hundred forty-one billion, nine hundred ninety-eight million, two hundred thousand, eight hundred forty-eight".