Search a number
-
+
142003312 = 241117311531
BaseRepresentation
bin10000111011011…
…00110001110000
3100220012111220221
420131230301300
5242323101222
622031342424
73343002553
oct1035546160
9326174827
10142003312
1173180210
123b681a14
132355c139
1414c0669a
15c7000c7
hex876cc70

142003312 has 80 divisors (see below), whose sum is σ = 328264704. Its totient is φ = 58752000.

The previous prime is 142003307. The next prime is 142003331. The reversal of 142003312 is 213300241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91987 + ... + 93517.

Almost surely, 2142003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164132352).

142003312 is an abundant number, since it is smaller than the sum of its proper divisors (186261392).

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

142003312 is a wasteful number, since it uses less digits than its factorization.

142003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 142003312 is about 11916.5142554356. The cubic root of 142003312 is about 521.7144007103.

Adding to 142003312 its reverse (213300241), we get a palindrome (355303553).

The spelling of 142003312 in words is "one hundred forty-two million, three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 124 136 176 187 248 272 341 374 496 527 682 748 1054 1364 1496 1531 2108 2728 2992 3062 4216 5456 5797 6124 8432 11594 12248 16841 23188 24496 26027 33682 46376 47461 52054 67364 92752 94922 104108 134728 189844 208216 269456 286297 379688 416432 522071 572594 759376 806837 1044142 1145188 1613674 2088284 2290376 3227348 4176568 4580752 6454696 8353136 8875207 12909392 17750414 35500828 71001656 142003312