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141463800 = 233352172367
BaseRepresentation
bin10000110111010…
…01000011111000
3100212012002212000
420123221003320
5242203320200
622012021000
73335264622
oct1033510370
9325162760
10141463800
1172941935
123b461760
13234006ba
1414b05c12
15c645300
hex86e90f8

141463800 has 384 divisors, whose sum is σ = 546393600. Its totient is φ = 33454080.

The previous prime is 141463771. The next prime is 141463801. The reversal of 141463800 is 8364141.

141463800 is a `hidden beast` number, since 14 + 14 + 638 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141463801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2111367 + ... + 2111433.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 2141463800 is an apocalyptic number.

141463800 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 141463800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273196800).

141463800 is an abundant number, since it is smaller than the sum of its proper divisors (404929800).

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

141463800 is a wasteful number, since it uses less digits than its factorization.

141463800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 141463800 is about 11893.8555565468. The cubic root of 141463800 is about 521.0528471315.

The spelling of 141463800 in words is "one hundred forty-one million, four hundred sixty-three thousand, eight hundred".