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141142344 = 23372257467
BaseRepresentation
bin10000110100110…
…10100101001000
3100211120202220020
420122122211020
5242113023334
622001100440
73332455500
oct1032324510
9324522806
10141142344
1172742372
123b327720
132331a2a5
1414a60a00
15c5cee49
hex869a948

141142344 has 96 divisors (see below), whose sum is σ = 412944480. Its totient is φ = 40083456.

The previous prime is 141142327. The next prime is 141142357. The reversal of 141142344 is 443241141.

It is a super-2 number, since 2×1411423442 = 39842322539628672, which contains 22 as substring.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301999 + ... + 302465.

It is an arithmetic number, because the mean of its divisors is an integer number (4301505).

Almost surely, 2141142344 is an apocalyptic number.

141142344 is a gapful number since it is divisible by the number (14) 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 141142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206472240).

141142344 is an abundant number, since it is smaller than the sum of its proper divisors (271802136).

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

141142344 is a wasteful number, since it uses less digits than its factorization.

141142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 736 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 141142344 is about 11880.3343387297. The cubic root of 141142344 is about 520.6578754279.

Adding to 141142344 its reverse (443241141), we get a palindrome (584383485).

The spelling of 141142344 in words is "one hundred forty-one million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 257 294 392 467 514 588 771 934 1028 1176 1401 1542 1799 1868 2056 2802 3084 3269 3598 3736 5397 5604 6168 6538 7196 9807 10794 11208 12593 13076 14392 19614 21588 22883 25186 26152 37779 39228 43176 45766 50372 68649 75558 78456 91532 100744 120019 137298 151116 183064 240038 274596 302232 360057 480076 549192 720114 840133 960152 1440228 1680266 2520399 2880456 3360532 5040798 5880931 6721064 10081596 11761862 17642793 20163192 23523724 35285586 47047448 70571172 141142344