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141298416 = 24327140177
BaseRepresentation
bin10000110110000…
…00101011110000
3100211212200222200
420123000223300
5242133022131
622004303200
73334005510
oct1033005360
9324780880
10141298416
1172839656
123b3a1b00
132337333c
1414aa1840
15c6112e6
hex86c0af0

141298416 has 60 divisors (see below), whose sum is σ = 451933872. Its totient is φ = 40370688.

The previous prime is 141298393. The next prime is 141298427. The reversal of 141298416 is 614892141.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69081 + ... + 71096.

Almost surely, 2141298416 is an apocalyptic number.

141298416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141298416 is an abundant number, since it is smaller than the sum of its proper divisors (310635456).

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

141298416 is a wasteful number, since it uses less digits than its factorization.

141298416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140198 (or 140189 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 141298416 is about 11886.9010259192. The cubic root of 141298416 is about 520.8497152877.

The spelling of 141298416 in words is "one hundred forty-one million, two hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 140177 280354 420531 560708 841062 981239 1121416 1261593 1682124 1962478 2242832 2523186 2943717 3364248 3924956 5046372 5887434 6728496 7849912 8831151 10092744 11774868 15699824 17662302 20185488 23549736 35324604 47099472 70649208 141298416