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141981985080 = 2333513291073259
BaseRepresentation
bin1000010000111011001…
…0010010100100111000
3111120110222011011011000
42010032302102210320
54311234342010310
6145120422405000
713154305650315
oct2041662224470
9446428134130
10141981985080
115523a146941
1223625590760
131050939c630
146c2c957d0c
153a5ec264c0
hex210ec92938

141981985080 has 512 divisors, whose sum is σ = 532344960000. Its totient is φ = 33418635264.

The previous prime is 141981985073. The next prime is 141981985081. The reversal of 141981985080 is 80589189141.

141981985080 is a `hidden beast` number, since 1 + 41 + 9 + 8 + 1 + 98 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141981985081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43564491 + ... + 43567749.

It is an arithmetic number, because the mean of its divisors is an integer number (1039736250).

Almost surely, 2141981985080 is an apocalyptic number.

141981985080 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 141981985080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266172480000).

141981985080 is an abundant number, since it is smaller than the sum of its proper divisors (390362974920).

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

141981985080 is a wasteful number, since it uses less digits than its factorization.

141981985080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 141981985080 in words is "one hundred forty-one billion, nine hundred eighty-one million, nine hundred eighty-five thousand, eighty".