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134031414 = 231131109601
BaseRepresentation
bin1111111110100…
…10100000110110
3100100012111112110
413333102200312
5233303001124
621144431450
73215151066
oct777224066
9310174473
10134031414
1169725870
1238a78586
13219ca73a
1413b2d3a6
15bb78029
hex7fd2836

134031414 has 64 divisors (see below), whose sum is σ = 305141760. Its totient is φ = 38880000.

The previous prime is 134031413. The next prime is 134031433. The reversal of 134031414 is 414130431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134031413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222714 + ... + 223314.

It is an arithmetic number, because the mean of its divisors is an integer number (4767840).

Almost surely, 2134031414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134031414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152570880).

134031414 is an abundant number, since it is smaller than the sum of its proper divisors (171110346).

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

134031414 is a wasteful number, since it uses less digits than its factorization.

134031414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 134031414 is about 11577.1937014114. The cubic root of 134031414 is about 511.7629797910.

Adding to 134031414 its reverse (414130431), we get a palindrome (548161845).

The spelling of 134031414 in words is "one hundred thirty-four million, thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 109 186 218 327 341 601 654 682 1023 1199 1202 1803 2046 2398 3379 3597 3606 6611 6758 7194 10137 13222 18631 19833 20274 37169 37262 39666 55893 65509 74338 111507 111786 131018 196527 204941 223014 393054 409882 614823 720599 1229646 1441198 2030779 2161797 4061558 4323594 6092337 12184674 22338569 44677138 67015707 134031414