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141941228544 = 210321719411163
BaseRepresentation
bin1000010000110001011…
…0110100010000000000
3111120101010110111200200
42010030112310100000
54311143423303134
6145112405045200
713153302351513
oct2041426642000
9446333414620
10141941228544
1155219139955
12236139b6800
1310500acc63b
146c27388d7a
153a5b375499
hex210c5b4400

141941228544 has 528 divisors, whose sum is σ = 468345084480. Its totient is φ = 41122529280.

The previous prime is 141941228519. The next prime is 141941228573. The reversal of 141941228544 is 445822149141.

141941228544 is a `hidden beast` number, since 1 + 4 + 1 + 94 + 12 + 2 + 8 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141941228544.

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 47 ways as a sum of consecutive naturals, for example, 122046907 + ... + 122048069.

Almost surely, 2141941228544 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 141941228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234172542240).

141941228544 is an abundant number, since it is smaller than the sum of its proper divisors (326403855936).

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

141941228544 is a wasteful number, since it uses less digits than its factorization.

141941228544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1245 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 141941228544 in words is "one hundred forty-one billion, nine hundred forty-one million, two hundred twenty-eight thousand, five hundred forty-four".