Search a number
-
+
1134014144 = 26295471117
BaseRepresentation
bin100001110010111…
…1010111011000000
32221000211212221212
41003211322323000
54310301423034
6304305505252
740046650454
oct10345727300
92830755855
101134014144
1153213767a
12277942228
13150c2cab3
14aa874664
15698542ce
hex4397aec0

1134014144 has 56 divisors (see below), whose sum is σ = 2334249840. Its totient is φ = 545965056.

The previous prime is 1134014137. The next prime is 1134014171. The reversal of 1134014144 is 4414104311.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014674 + ... + 1015790.

Almost surely, 21134014144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167124920).

1134014144 is an abundant number, since it is smaller than the sum of its proper divisors (1200235696).

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

1134014144 is a wasteful number, since it uses less digits than its factorization.

1134014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1134014144 is about 33675.1264882554. The cubic root of 1134014144 is about 1042.8123289789.

Adding to 1134014144 its reverse (4414104311), we get a palindrome (5548118455).

The spelling of 1134014144 in words is "one billion, one hundred thirty-four million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 547 928 1094 1117 1856 2188 2234 4376 4468 8752 8936 15863 17504 17872 31726 32393 35008 35744 63452 64786 71488 126904 129572 253808 259144 507616 518288 610999 1015232 1036576 1221998 2073152 2443996 4887992 9775984 17718971 19551968 35437942 39103936 70875884 141751768 283503536 567007072 1134014144