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114424000400 = 2452476086383
BaseRepresentation
bin110101010010000110…
…0111010111110010000
3101221100101221111000202
41222210030322332100
53333320021003100
6124322103234332
711160350645543
oct1524414727620
9357311844022
10114424000400
1144588402096
121a2144489a8
13aa36c14118
14577698885a
152e9a6c27d5
hex1aa433af90

114424000400 has 60 divisors (see below), whose sum is σ = 280752721152. Its totient is φ = 44795771520.

The previous prime is 114424000399. The next prime is 114424000519. The reversal of 114424000400 is 4000424411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3024392 + ... + 3061991.

Almost surely, 2114424000400 is an apocalyptic number.

114424000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114424000400 is an abundant number, since it is smaller than the sum of its proper divisors (166328720752).

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

114424000400 is a wasteful number, since it uses less digits than its factorization.

114424000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086448 (or 6086437 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 114424000400 its reverse (4000424411), we get a palindrome (118424424811).

The spelling of 114424000400 in words is "one hundred fourteen billion, four hundred twenty-four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 940 1175 1880 2350 3760 4700 9400 18800 6086383 12172766 24345532 30431915 48691064 60863830 97382128 121727660 152159575 243455320 286060001 304319150 486910640 572120002 608638300 1144240004 1217276600 1430300005 2288480008 2434553200 2860600010 4576960016 5721200020 7151500025 11442400040 14303000050 22884800080 28606000100 57212000200 114424000400