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141456200 = 2352294
BaseRepresentation
bin10000110111001…
…11001101001000
3100212011201102112
420123213031020
5242203044300
622011521452
73335233514
oct1033471510
9325151375
10141456200
1172937156
123b459288
13233ca0c2
1414b03144
15c642e35
hex86e7348

141456200 has 60 divisors (see below), whose sum is σ = 340631565. Its totient is φ = 54631360.

The previous prime is 141456179. The next prime is 141456209. The reversal of 141456200 is 2654141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 1223236 + 140232964 = 1106^2 + 11842^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8410.

It is not an unprimeable number, because it can be changed into a prime (141456209) 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 14 ways as a sum of consecutive naturals, for example, 4877786 + ... + 4877814.

Almost surely, 2141456200 is an apocalyptic number.

141456200 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 141456200

141456200 is an abundant number, since it is smaller than the sum of its proper divisors (199175365).

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

141456200 is an frugal number, since it uses more digits than its factorization.

141456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 141456200 is about 11893.5360595577. The cubic root of 141456200 is about 521.0435159515.

The spelling of 141456200 in words is "one hundred forty-one million, four hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 841 1160 1450 1682 2900 3364 4205 5800 6728 8410 16820 21025 24389 33640 42050 48778 84100 97556 121945 168200 195112 243890 487780 609725 707281 975560 1219450 1414562 2438900 2829124 3536405 4877800 5658248 7072810 14145620 17682025 28291240 35364050 70728100 141456200