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143152434000 = 2434535691553
BaseRepresentation
bin1000010101010010001…
…1001100101101010000
3111200111112120010020000
42011110203030231100
54321134010342000
6145432513250000
713225310416662
oct2052443145520
9450445503200
10143152434000
115578a8a94a4
12238b1563900
1310664a18264
146d00194532
153acc876000
hex21548ccb50

143152434000 has 400 divisors, whose sum is σ = 518319481680. Its totient is φ = 38082355200.

The previous prime is 143152433999. The next prime is 143152434017. The reversal of 143152434000 is 434251341.

It is a happy number.

143152434000 is a `hidden beast` number, since 1 + 4 + 3 + 15 + 243 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 103905654336 + 39246779664 = 322344^2 + 198108^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92177224 + ... + 92178776.

Almost surely, 2143152434000 is an apocalyptic number.

143152434000 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 143152434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259159740840).

143152434000 is an abundant number, since it is smaller than the sum of its proper divisors (375167047680).

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

143152434000 is a wasteful number, since it uses less digits than its factorization.

143152434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 143152434000 its reverse (434251341), we get a palindrome (143586685341).

The spelling of 143152434000 in words is "one hundred forty-three billion, one hundred fifty-two million, four hundred thirty-four thousand".