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141867327420 = 2233572132291801
BaseRepresentation
bin1000010000011111110…
…0111001111110111100
3111120011222101221102000
42010013330321332330
54311021013434140
6145101205102300
713151414246400
oct2040774717674
9446158357360
10141867327420
1155190453945
12235b30b7990
13104bb6c6270
146c1b62d100
153a54b28a30
hex2107f39fbc

141867327420 has 576 divisors, whose sum is σ = 555641654400. Its totient is φ = 29785190400.

The previous prime is 141867327391. The next prime is 141867327443. The reversal of 141867327420 is 24723768141.

141867327420 is a `hidden beast` number, since 14 + 186 + 7 + 32 + 7 + 420 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78770520 + ... + 78772320.

It is an arithmetic number, because the mean of its divisors is an integer number (964655650).

Almost surely, 2141867327420 is an apocalyptic number.

141867327420 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 141867327420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277820827200).

141867327420 is an abundant number, since it is smaller than the sum of its proper divisors (413774326980).

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

141867327420 is a wasteful number, since it uses less digits than its factorization.

141867327420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 141867327420 in words is "one hundred forty-one billion, eight hundred sixty-seven million, three hundred twenty-seven thousand, four hundred twenty".