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142410103400 = 235219472113779
BaseRepresentation
bin1000010010100001001…
…1011011101001101000
3111121120210201211002002
42010220103123221220
54313123441302100
6145231114430132
713201024622555
oct2045023335150
9447523654062
10142410103400
1155439877534
1223724a32348
1310576ca7596
146c6d75ba2c
153a875e12d5
hex21284dba68

142410103400 has 192 divisors, whose sum is σ = 357727104000. Its totient is φ = 52553491200.

The previous prime is 142410103361. The next prime is 142410103403. The reversal of 142410103400 is 4301014241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (142410103403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37682711 + ... + 37686489.

It is an arithmetic number, because the mean of its divisors is an integer number (1863162000).

Almost surely, 2142410103400 is an apocalyptic number.

142410103400 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 142410103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178863552000).

142410103400 is an abundant number, since it is smaller than the sum of its proper divisors (215317000600).

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

142410103400 is a wasteful number, since it uses less digits than its factorization.

142410103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142410103400 its reverse (4301014241), we get a palindrome (146711117641).

The spelling of 142410103400 in words is "one hundred forty-two billion, four hundred ten million, one hundred three thousand, four hundred".