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142432451040 = 253511199283479
BaseRepresentation
bin1000010010100110100…
…0101011100111100000
3111121122100210012021110
42010221220223213200
54313200201413130
6145233233423320
713201415600205
oct2045150534740
9447570705243
10142432451040
1155450450660
122373040ab40
131057b800439
146c726d7cac
153a89557ab0
hex2129a2b9e0

142432451040 has 384 divisors, whose sum is σ = 494678016000. Its totient is φ = 34162698240.

The previous prime is 142432451027. The next prime is 142432451047. The reversal of 142432451040 is 40154234241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 142432450989 and 142432451007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142432451047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297353521 + ... + 297353999.

It is an arithmetic number, because the mean of its divisors is an integer number (1288224000).

Almost surely, 2142432451040 is an apocalyptic number.

142432451040 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 142432451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247339008000).

142432451040 is an abundant number, since it is smaller than the sum of its proper divisors (352245564960).

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

142432451040 is a wasteful number, since it uses less digits than its factorization.

142432451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 142432451040 its reverse (40154234241), we get a palindrome (182586685281).

The spelling of 142432451040 in words is "one hundred forty-two billion, four hundred thirty-two million, four hundred fifty-one thousand, forty".