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14540040400 = 245236350101
BaseRepresentation
bin11011000101010011…
…10110100011010000
31101112022122120201211
431202221312203100
5214234222243100
610402443305504
71023213206224
oct154251664320
941468576654
1014540040400
116191523616
12299951b294
1314a9473002
149bd0d2784
155a175a1ba
hex362a768d0

14540040400 has 30 divisors (see below), whose sum is σ = 34932448022. Its totient is φ = 5816016000.

The previous prime is 14540040397. The next prime is 14540040451. The reversal of 14540040400 is 404004541.

It can be written as a sum of positive squares in 3 ways, for example, as 1604162704 + 12935877696 = 40052^2 + 113736^2 .

It is a super-2 number, since 2×145400404002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18174651 + ... + 18175450.

Almost surely, 214540040400 is an apocalyptic number.

14540040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14540040400 is an abundant number, since it is smaller than the sum of its proper divisors (20392407622).

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

14540040400 is a wasteful number, since it uses less digits than its factorization.

14540040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36350119 (or 36350108 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 14540040400 its reverse (404004541), we get a palindrome (14944044941).

The spelling of 14540040400 in words is "fourteen billion, five hundred forty million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 36350101 72700202 145400404 181750505 290800808 363501010 581601616 727002020 908752525 1454004040 1817505050 2908008080 3635010100 7270020200 14540040400