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141088812000 = 25353313471093
BaseRepresentation
bin1000001101100110001…
…1000110101111100000
3111111011201111021000120
42003121203012233200
54302422213441000
6144452034520240
713123212054213
oct2033143065740
9444151437016
10141088812000
1154920a57774
1223416436080
13103c6326456
146b8609777a
153a0b5e76a0
hex20d98c6be0

141088812000 has 384 divisors, whose sum is σ = 478929604608. Its totient is φ = 36271872000.

The previous prime is 141088811987. The next prime is 141088812001. The reversal of 141088812000 is 218880141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141088812001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129083454 + ... + 129084546.

It is an arithmetic number, because the mean of its divisors is an integer number (1247212512).

Almost surely, 2141088812000 is an apocalyptic number.

141088812000 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 141088812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239464802304).

141088812000 is an abundant number, since it is smaller than the sum of its proper divisors (337840792608).

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

141088812000 is a wasteful number, since it uses less digits than its factorization.

141088812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The spelling of 141088812000 in words is "one hundred forty-one billion, eighty-eight million, eight hundred twelve thousand".