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142441404 = 223719312879
BaseRepresentation
bin10000111110101…
…11101110111100
3100221000202212120
420133113232330
5242431111104
622045002540
73346506030
oct1037275674
9327022776
10142441404
117344a376
123b853450
1323683671
1414cbc1c0
15c789cd9
hex87d7bbc

142441404 has 96 divisors (see below), whose sum is σ = 412876800. Its totient is φ = 37298880.

The previous prime is 142441391. The next prime is 142441427. The reversal of 142441404 is 404144241.

It is a happy number.

It is a congruent number.

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, 48037 + ... + 50915.

It is an arithmetic number, because the mean of its divisors is an integer number (4300800).

Almost surely, 2142441404 is an apocalyptic number.

142441404 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 142441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206438400).

142441404 is an abundant number, since it is smaller than the sum of its proper divisors (270435396).

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

142441404 is a wasteful number, since it uses less digits than its factorization.

142441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2941 counting only the distinct ones).

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

The square root of 142441404 is about 11934.8818175967. The cubic root of 142441404 is about 522.2503606655.

Adding to 142441404 its reverse (404144241), we get a palindrome (546585645).

It can be divided in two parts, 142441 and 404, that added together give a triangular number (142845 = T534).

The spelling of 142441404 in words is "one hundred forty-two million, four hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 2879 3534 4123 5758 7068 8246 8637 11516 12369 16492 17274 20153 24738 34548 40306 49476 54701 60459 80612 89249 109402 120918 164103 178498 218804 241836 267747 328206 356996 382907 535494 624743 656412 765814 1070988 1148721 1249486 1531628 1695731 1874229 2297442 2498972 3391462 3748458 4594884 5087193 6782924 7496916 10174386 11870117 20348772 23740234 35610351 47480468 71220702 142441404