Search a number
-
+
14153053224 = 23331374710939
BaseRepresentation
bin11010010111001011…
…00111010000101000
31100112100110121010110
431023211213100220
5212441140200344
610300221014320
71010503652562
oct151345472050
940470417113
1014153053224
116003036402
1228ab9b43a0
13144723970b
14983958332
1557c7b73b9
hex34b967428

14153053224 has 128 divisors (see below), whose sum is σ = 38312755200. Its totient is φ = 4347198720.

The previous prime is 14153053219. The next prime is 14153053249. The reversal of 14153053224 is 42235035141.

It is a super-2 number, since 2×141530532242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14153053191 and 14153053200.

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, 1288347 + ... + 1299285.

It is an arithmetic number, because the mean of its divisors is an integer number (299318400).

Almost surely, 214153053224 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 14153053224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156377600).

14153053224 is an abundant number, since it is smaller than the sum of its proper divisors (24159701976).

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

14153053224 is a wasteful number, since it uses less digits than its factorization.

14153053224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11063 (or 11059 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 14153053224 its reverse (42235035141), we get a palindrome (56388088365).

The spelling of 14153053224 in words is "fourteen billion, one hundred fifty-three million, fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 37 47 62 74 93 94 111 124 141 148 186 188 222 248 282 296 372 376 444 564 744 888 1128 1147 1457 1739 2294 2914 3441 3478 4371 4588 5217 5828 6882 6956 8742 9176 10434 10939 11656 13764 13912 17484 20868 21878 27528 32817 34968 41736 43756 53909 65634 87512 107818 131268 161727 215636 262536 323454 339109 404743 431272 514133 646908 678218 809486 1017327 1028266 1214229 1293816 1356436 1542399 1618972 2034654 2056532 2428458 2712872 3084798 3237944 4069308 4113064 4856916 6169596 8138616 9713832 12339192 12547033 15938123 19022921 25094066 31876246 37641099 38045842 47814369 50188132 57068763 63752492 75282198 76091684 95628738 100376264 114137526 127504984 150564396 152183368 191257476 228275052 301128792 382514952 456550104 589710551 1179421102 1769131653 2358842204 3538263306 4717684408 7076526612 14153053224