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141800464 = 241322292
BaseRepresentation
bin10000111001110…
…11010000010000
3100212211012200001
420130323100100
5242300103324
622023135344
73341166301
oct1034732020
9325735601
10141800464
1173051873
123b5a4554
13234baa00
1414b927a8
15c6aee44
hex873b410

141800464 has 45 divisors (see below), whose sum is σ = 298802583. Its totient is φ = 65160576.

The previous prime is 141800447. The next prime is 141800471. The reversal of 141800464 is 464008141.

The square root of 141800464 is 11908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2371600 + 139428864 = 1540^2 + 11808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 619102 + ... + 619330.

Almost surely, 2141800464 is an apocalyptic number.

141800464 is the 11908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141800464

141800464 is an abundant number, since it is smaller than the sum of its proper divisors (157002119).

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

141800464 is an equidigital number, since it uses as much as digits as its factorization.

141800464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The cubic root of 141800464 is about 521.4658638922.

The spelling of 141800464 in words is "one hundred forty-one million, eight hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 229 338 458 676 916 1352 1832 2704 2977 3664 5954 11908 23816 38701 47632 52441 77402 104882 154804 209764 309608 419528 619216 681733 839056 1363466 2726932 5453864 8862529 10907728 17725058 35450116 70900232 141800464