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14150240400 = 2435211791867
BaseRepresentation
bin11010010110110101…
…11000100010010000
31100112011011200122210
431023122320202100
5212434430143100
610300040432120
71010441026122
oct151332704220
940464150583
1014150240400
11600149505a
1228aaa78640
13144679331a
14983425212
1557c40dc50
hex34b6b8890

14150240400 has 60 divisors (see below), whose sum is σ = 45327940592. Its totient is φ = 3773397120.

The previous prime is 14150240383. The next prime is 14150240441. The reversal of 14150240400 is 404205141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×141502404003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5894734 + ... + 5897133.

Almost surely, 214150240400 is an apocalyptic number.

14150240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14150240400 is an abundant number, since it is smaller than the sum of its proper divisors (31177700192).

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

14150240400 is a wasteful number, since it uses less digits than its factorization.

14150240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791888 (or 11791877 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 14150240400 its reverse (404205141), we get a palindrome (14554445541).

The spelling of 14150240400 in words is "fourteen billion, one hundred fifty million, two hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11791867 23583734 35375601 47167468 58959335 70751202 94334936 117918670 141502404 176878005 188669872 235837340 283004808 294796675 353756010 471674680 566009616 589593350 707512020 884390025 943349360 1179186700 1415024040 1768780050 2358373400 2830048080 3537560100 4716746800 7075120200 14150240400