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141894144 = 293275383
BaseRepresentation
bin10000111010100…
…10001000000000
3100212222222011200
420131102020000
5242311103034
622025141200
73342036360
oct1035221000
9325888150
10141894144
1173106197
123b62a800
1323521542
1414bb89a0
15c6cca99
hex8752200

141894144 has 240 divisors, whose sum is σ = 482594112. Its totient is φ = 39297024.

The previous prime is 141894101. The next prime is 141894163. The reversal of 141894144 is 441498141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 141894099 and 141894108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1709527 + ... + 1709609.

Almost surely, 2141894144 is an apocalyptic number.

141894144 is a gapful number since it is divisible by the number (14) 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 141894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

141894144 is an abundant number, since it is smaller than the sum of its proper divisors (340699968).

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

141894144 is an equidigital number, since it uses as much as digits as its factorization.

141894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 141894144 is about 11911.9328406435. The cubic root of 141894144 is about 521.5806735032.

The spelling of 141894144 in words is "one hundred forty-one million, eight hundred ninety-four thousand, one hundred forty-four".