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141426000 = 24365397
BaseRepresentation
bin10000110110111…
…11110101010000
3100212010012000000
420123133311100
5242201113000
622011130000
73335046462
oct1033376520
9325105000
10141426000
11729164a1
123b443900
13233b9431
1414ad6132
15c639000
hex86dfd50

141426000 has 280 divisors, whose sum is σ = 518003304. Its totient is φ = 37324800.

The previous prime is 141425993. The next prime is 141426001. The reversal of 141426000 is 624141.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 133541136 = 2808^2 + 11556^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141426001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1457952 + ... + 1458048.

Almost surely, 2141426000 is an apocalyptic number.

141426000 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 141426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259001652).

141426000 is an abundant number, since it is smaller than the sum of its proper divisors (376577304).

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

141426000 is an frugal number, since it uses more digits than its factorization.

141426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141426000 is about 11892.2663945944. The cubic root of 141426000 is about 521.0064334856.

The spelling of 141426000 in words is "one hundred forty-one million, four hundred twenty-six thousand".