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141405120 = 26325371327
BaseRepresentation
bin10000110110110…
…10101111000000
3100212002010100200
420123122233000
5242144430440
622010445200
73334631553
oct1033325700
9325063320
10141405120
117290183a
123b433800
13233aca8c
1414acc69a
15c632c30
hex86dabc0

141405120 has 168 divisors, whose sum is σ = 499896384. Its totient is φ = 36661248.

The previous prime is 141405109. The next prime is 141405179. The reversal of 141405120 is 21504141.

141405120 is a `hidden beast` number, since 14 + 140 + 512 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 141405093 and 141405102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 105897 + ... + 107223.

Almost surely, 2141405120 is an apocalyptic number.

141405120 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 141405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249948192).

141405120 is an abundant number, since it is smaller than the sum of its proper divisors (358491264).

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

141405120 is a wasteful number, since it uses less digits than its factorization.

141405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 141405120 is about 11891.3884807452. The cubic root of 141405120 is about 520.9807919257.

Adding to 141405120 its reverse (21504141), we get a palindrome (162909261).

The spelling of 141405120 in words is "one hundred forty-one million, four hundred five thousand, one hundred twenty".