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141920352000 = 28325371741101
BaseRepresentation
bin1000010000101100011…
…1001011011100000000
3111120022200011212110100
42010023013023130000
54311123102231000
6145110341402400
713152630042120
oct2041307133400
9446280155410
10141920352000
1155208380009
1223608a09400
13104c96a025b
146c246b2c80
153a595eea00
hex210b1cb700

141920352000 has 1728 divisors, whose sum is σ = 639294259968. Its totient is φ = 29491200000.

The previous prime is 141920351981. The next prime is 141920352037. The reversal of 141920352000 is 253029141.

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, 1405151950 + ... + 1405152050.

It is an arithmetic number, because the mean of its divisors is an integer number (369961956).

Almost surely, 2141920352000 is an apocalyptic number.

141920352000 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 141920352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319647129984).

141920352000 is an abundant number, since it is smaller than the sum of its proper divisors (497373907968).

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

141920352000 is a wasteful number, since it uses less digits than its factorization.

141920352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 141920352000 in words is "one hundred forty-one billion, nine hundred twenty million, three hundred fifty-two thousand".