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114413001400 = 23524311327297
BaseRepresentation
bin110101010001110001…
…0111101101010111000
3101221022122020200020101
41222203202331222320
53333304212021100
6124321031405144
711160155315515
oct1524342755270
9357278220211
10114413001400
114458217a405
121a2108237b4
13aa34862939
14577532430c
152e9974d86a
hex1aa38bdab8

114413001400 has 48 divisors (see below), whose sum is σ = 266627622240. Its totient is φ = 45658982400.

The previous prime is 114413001377. The next prime is 114413001403. The reversal of 114413001400 is 4100314411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114413001403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577449 + ... + 749848.

It is an arithmetic number, because the mean of its divisors is an integer number (5554742130).

Almost surely, 2114413001400 is an apocalyptic number.

114413001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114413001400 is an abundant number, since it is smaller than the sum of its proper divisors (152214620840).

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

114413001400 is a wasteful number, since it uses less digits than its factorization.

114413001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327744 (or 1327735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 114413001400 its reverse (4100314411), we get a palindrome (118513315811).

The spelling of 114413001400 in words is "one hundred fourteen billion, four hundred thirteen million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 431 862 1724 2155 3448 4310 8620 10775 17240 21550 43100 86200 1327297 2654594 5309188 6636485 10618376 13272970 26545940 33182425 53091880 66364850 132729700 265459400 572065007 1144130014 2288260028 2860325035 4576520056 5720650070 11441300140 14301625175 22882600280 28603250350 57206500700 114413001400