Search a number
-
+
134047144 = 2373114441
BaseRepresentation
bin1111111110101…
…10010110101000
3100100020022010001
413333112112220
5233304002034
621145032344
73215245000
oct777262650
9310208101
10134047144
1169736670
1238a856b4
1321a0494a
1413b35000
15bb7ca14
hex7fd65a8

134047144 has 64 divisors (see below), whose sum is σ = 319824000. Its totient is φ = 52214400.

The previous prime is 134047129. The next prime is 134047153. The reversal of 134047144 is 441740431.

It is a super-3 number, since 3×1340471443 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27964 + ... + 32404.

It is an arithmetic number, because the mean of its divisors is an integer number (4997250).

Almost surely, 2134047144 is an apocalyptic number.

134047144 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 134047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159912000).

134047144 is an abundant number, since it is smaller than the sum of its proper divisors (185776856).

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

134047144 is a wasteful number, since it uses less digits than its factorization.

134047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 134047144 is about 11577.8730343703. The cubic root of 134047144 is about 511.7829992689.

Adding to 134047144 its reverse (441740431), we get a palindrome (575787575).

It can be divided in two parts, 1340 and 47144, that added together give a palindrome (48484).

The spelling of 134047144 in words is "one hundred thirty-four million, forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 1078 1372 2156 2744 3773 4312 4441 7546 8882 15092 17764 30184 31087 35528 48851 62174 97702 124348 195404 217609 248696 341957 390808 435218 683914 870436 1367828 1523263 1740872 2393699 2735656 3046526 4787398 6093052 9574796 12186104 16755893 19149592 33511786 67023572 134047144