Search a number
-
+
134451414 = 235377477
BaseRepresentation
bin10000000001110…
…01000011010110
3100100222211200000
420000321003112
5233404421124
621201432130
73221550426
oct1000710326
9310884600
10134451414
1169992379
123903b646
1321b16966
1413bdc486
15bc0c6c9
hex80390d6

134451414 has 48 divisors (see below), whose sum is σ = 310307088. Its totient is φ = 43600032.

The previous prime is 134451403. The next prime is 134451431. The reversal of 134451414 is 414154431.

134451414 is a `hidden beast` number, since 134 + 4 + 514 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14244 + ... + 21720.

It is an arithmetic number, because the mean of its divisors is an integer number (6464731).

Almost surely, 2134451414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134451414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155153544).

134451414 is an abundant number, since it is smaller than the sum of its proper divisors (175855674).

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

134451414 is an equidigital number, since it uses as much as digits as its factorization.

134451414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7519 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 134451414 is about 11595.3186243415. The cubic root of 134451414 is about 512.2969748278.

The spelling of 134451414 in words is "one hundred thirty-four million, four hundred fifty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5994 7477 8991 14954 17982 22431 44862 67293 134586 201879 276649 403758 553298 605637 829947 1211274 1659894 1816911 2489841 3633822 4979682 7469523 14939046 22408569 44817138 67225707 134451414