Search a number
-
+
14346473436 = 223497479953
BaseRepresentation
bin11010101110001110…
…11100111111011100
31101000211102100210000
431113013130333130
5213340144122221
610331330414300
71015343004111
oct152707347734
941024370700
1014346473436
1160a2234919
122944731390
13147832bb49
149a1506908
1558e771e26
hex3571dcfdc

14346473436 has 120 divisors (see below), whose sum is σ = 38010107520. Its totient is φ = 4718020608.

The previous prime is 14346473419. The next prime is 14346473461. The reversal of 14346473436 is 63437464341.

14346473436 is a `hidden beast` number, since 143 + 4 + 6 + 4 + 73 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14346473391 and 14346473400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15053536 + ... + 15054488.

It is an arithmetic number, because the mean of its divisors is an integer number (316750896).

Almost surely, 214346473436 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 14346473436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005053760).

14346473436 is an abundant number, since it is smaller than the sum of its proper divisors (23663634084).

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

14346473436 is a wasteful number, since it uses less digits than its factorization.

14346473436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1534 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The spelling of 14346473436 in words is "fourteen billion, three hundred forty-six million, four hundred seventy-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 479 582 873 953 958 1164 1437 1746 1906 1916 2619 2859 2874 3492 3812 4311 5238 5718 5748 7857 8577 8622 10476 11436 12933 15714 17154 17244 25731 25866 31428 34308 38799 46463 51462 51732 77193 77598 92441 92926 102924 139389 154386 155196 184882 185852 277323 278778 308772 369764 418167 456487 554646 557556 831969 836334 912974 1109292 1254501 1369461 1663938 1672668 1825948 2495907 2509002 2738922 3327876 3763503 4108383 4991814 5018004 5477844 7487721 7527006 8216766 9983628 12325149 14975442 15054012 16433532 24650298 29950884 36975447 44279239 49300596 73950894 88558478 132837717 147901788 177116956 265675434 398513151 531350868 797026302 1195539453 1594052604 2391078906 3586618359 4782157812 7173236718 14346473436