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142312434 = 231137101577
BaseRepresentation
bin10000111101110…
…00001111110010
3100220210012221220
420132320033302
5242412444214
622042125510
73345431025
oct1036701762
9326705856
10142312434
1173371490
123b7b0896
1323639a54
1414c871bc
15c7619a9
hex87b83f2

142312434 has 64 divisors (see below), whose sum is σ = 322607232. Its totient is φ = 41472000.

The previous prime is 142312427. The next prime is 142312441. The reversal of 142312434 is 434213241.

It is an interprime number because it is at equal distance from previous prime (142312427) and next prime (142312441).

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, 246354 + ... + 246930.

It is an arithmetic number, because the mean of its divisors is an integer number (5040738).

Almost surely, 2142312434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142312434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161303616).

142312434 is an abundant number, since it is smaller than the sum of its proper divisors (180294798).

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

142312434 is a wasteful number, since it uses less digits than its factorization.

142312434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731.

The product of its digits is 2304, while the sum is 24.

The square root of 142312434 is about 11929.4775241835. The cubic root of 142312434 is about 522.0926935697.

Adding to 142312434 its reverse (434213241), we get a palindrome (576525675).

The spelling of 142312434 in words is "one hundred forty-two million, three hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 101 111 202 222 303 407 577 606 814 1111 1154 1221 1731 2222 2442 3333 3462 3737 6347 6666 7474 11211 12694 19041 21349 22422 38082 41107 42698 58277 64047 82214 116554 123321 128094 174831 234839 246642 349662 469678 641047 704517 1282094 1409034 1923141 2156249 3846282 4312498 6468747 12937494 23718739 47437478 71156217 142312434