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141838421760 = 2833573118913
BaseRepresentation
bin1000010000011000111…
…0101000111100000000
3111120002222000101022000
42010012032220330000
54310441113444020
6145054253344000
713150613456340
oct2040616507400
9446088011260
10141838421760
1155176100672
12235a5498000
13104b5715419
146c17866d20
153a52319090
hex21063a8f00

141838421760 has 576 divisors, whose sum is σ = 593820917760. Its totient is φ = 31372738560.

The previous prime is 141838421743. The next prime is 141838421771. The reversal of 141838421760 is 67124838141.

141838421760 is a `hidden beast` number, since 141 + 83 + 8 + 421 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7490064 + ... + 7508976.

Almost surely, 2141838421760 is an apocalyptic number.

141838421760 is a gapful number since it is divisible by the number (10) 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 141838421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296910458880).

141838421760 is an abundant number, since it is smaller than the sum of its proper divisors (451982496000).

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

141838421760 is a wasteful number, since it uses less digits than its factorization.

141838421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18981 (or 18961 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 141838421760 in words is "one hundred forty-one billion, eight hundred thirty-eight million, four hundred twenty-one thousand, seven hundred sixty".