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141431000 = 2353233607
BaseRepresentation
bin10000110111000…
…01000011011000
3100212010102212012
420123201003120
5242201243000
622011205052
73335100164
oct1033410330
9325112765
10141431000
117291a227
123b446788
13233bb7a9
1414ad7ca4
15c63a735
hex86e10d8

141431000 has 64 divisors (see below), whose sum is σ = 332916480. Its totient is φ = 56236800.

The previous prime is 141430987. The next prime is 141431009. The reversal of 141431000 is 134141.

It is a happy number.

141431000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1414310002 = 40005455522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141431009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 232697 + ... + 233303.

It is an arithmetic number, because the mean of its divisors is an integer number (5201820).

Almost surely, 2141431000 is an apocalyptic number.

141431000 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 141431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166458240).

141431000 is an abundant number, since it is smaller than the sum of its proper divisors (191485480).

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

141431000 is a wasteful number, since it uses less digits than its factorization.

141431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 141431000 is about 11892.4766133888. The cubic root of 141431000 is about 521.0125733314.

Adding to 141431000 its reverse (134141), we get a palindrome (141565141).

The spelling of 141431000 in words is "one hundred forty-one million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 607 932 1000 1165 1214 1864 2330 2428 3035 4660 4856 5825 6070 9320 11650 12140 15175 23300 24280 29125 30350 46600 58250 60700 75875 116500 121400 141431 151750 233000 282862 303500 565724 607000 707155 1131448 1414310 2828620 3535775 5657240 7071550 14143100 17678875 28286200 35357750 70715500 141431000