Search a number
-
+
142214424 = 23311618831
BaseRepresentation
bin10000111101000…
…00010100011000
3100220121020111220
420132200110120
5242401330144
622040052040
73344542212
oct1036402430
9326536456
10142214424
1173304890
123b764020
1323604261
1414c5d5b2
15c742919
hex87a0518

142214424 has 64 divisors (see below), whose sum is σ = 394260480. Its totient is φ = 42384000.

The previous prime is 142214419. The next prime is 142214467. The reversal of 142214424 is 424412241.

142214424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142214394 and 142214403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11689 + ... + 20519.

It is an arithmetic number, because the mean of its divisors is an integer number (6160320).

Almost surely, 2142214424 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 142214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197130240).

142214424 is an abundant number, since it is smaller than the sum of its proper divisors (252046056).

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

142214424 is a wasteful number, since it uses less digits than its factorization.

142214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912 (or 8908 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 142214424 is about 11925.3689251109. The cubic root of 142214424 is about 521.9728116665.

Adding to 142214424 its reverse (424412241), we get a palindrome (566626665).

The spelling of 142214424 in words is "one hundred forty-two million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 8831 16104 17662 26493 35324 52986 70648 97141 105972 194282 211944 291423 388564 538691 582846 777128 1077382 1165692 1616073 2154764 2331384 3232146 4309528 5925601 6464292 11851202 12928584 17776803 23702404 35553606 47404808 71107212 142214424