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142514176 = 21179941
BaseRepresentation
bin10000111111010…
…01100000000000
3100221011110200211
420133221200000
5242440423201
622050323504
73350231140
oct1037514000
9327143624
10142514176
117349a012
123b889594
13236aa81c
1414cda920
15c7a1651
hex87e9800

142514176 has 48 divisors (see below), whose sum is σ = 325699920. Its totient is φ = 61071360.

The previous prime is 142514173. The next prime is 142514261. The reversal of 142514176 is 671415241.

It is a super-3 number, since 3×1425141763 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142514173) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9366 + ... + 19306.

It is an arithmetic number, because the mean of its divisors is an integer number (6785415).

Almost surely, 2142514176 is an apocalyptic number.

142514176 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 142514176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162849960).

142514176 is an abundant number, since it is smaller than the sum of its proper divisors (183185744).

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

142514176 is an frugal number, since it uses more digits than its factorization.

142514176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9950 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 142514176 is about 11937.9301388474. The cubic root of 142514176 is about 522.3392831553.

The spelling of 142514176 in words is "one hundred forty-two million, five hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 7168 9941 14336 19882 39764 69587 79528 139174 159056 278348 318112 556696 636224 1113392 1272448 2226784 2544896 4453568 5089792 8907136 10179584 17814272 20359168 35628544 71257088 142514176