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142019136 = 2633759199
BaseRepresentation
bin10000111011100…
…00101001000000
3100220020022122000
420131300221000
5242324103021
622031544000
73343066650
oct1035605100
9326208560
10142019136
1173191096
123b68b000
13235663bc
1414c0c360
15c704b26
hex8770a40

142019136 has 224 divisors, whose sum is σ = 487680000. Its totient is φ = 39688704.

The previous prime is 142019123. The next prime is 142019161. The reversal of 142019136 is 631910241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×1420191363 (a number of 25 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 713565 + ... + 713763.

Almost surely, 2142019136 is an apocalyptic number.

142019136 is a gapful number since it is divisible by the number (16) 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 142019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243840000).

142019136 is an abundant number, since it is smaller than the sum of its proper divisors (345660864).

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

142019136 is a wasteful number, since it uses less digits than its factorization.

142019136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 142019136 is about 11917.1781894876. The cubic root of 142019136 is about 521.7337789016.

Adding to 142019136 its reverse (631910241), we get a palindrome (773929377).

The spelling of 142019136 in words is "one hundred forty-two million, nineteen thousand, one hundred thirty-six".