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143350631424 = 210327111341379
BaseRepresentation
bin1000010110000001011…
…1010000110000000000
3111201000100111120222100
42011200113100300000
54322040230201144
6145504313310400
713233235156020
oct2054027206000
9451010446870
10143350631424
1155881770120
1223947a05400
1310696ac0c40
146d1c627a80
153adee76269
hex21605d0c00

143350631424 has 1056 divisors, whose sum is σ = 570812336640. Its totient is φ = 33443020800.

The previous prime is 143350631423. The next prime is 143350631429. The reversal of 143350631424 is 424136053341.

143350631424 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 506 + 3 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (143350631423) 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 95 ways as a sum of consecutive naturals, for example, 378233667 + ... + 378234045.

Almost surely, 2143350631424 is an apocalyptic number.

143350631424 is a gapful number since it is divisible by the number (14) 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 143350631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285406168320).

143350631424 is an abundant number, since it is smaller than the sum of its proper divisors (427461705216).

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

143350631424 is a wasteful number, since it uses less digits than its factorization.

143350631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 143350631424 its reverse (424136053341), we get a palindrome (567486684765).

The spelling of 143350631424 in words is "one hundred forty-three billion, three hundred fifty million, six hundred thirty-one thousand, four hundred twenty-four".