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14145450048 = 263224558073
BaseRepresentation
bin11010010110010001…
…00111000001000000
31100111211011022112100
431023020213001000
5212432213400143
610255350030400
71010352225102
oct151310470100
940454138470
1014145450048
115aa9812a94
1228a9348400
1314457a6ab2
14982939572
1557bcb46d3
hex34b227040

14145450048 has 42 divisors (see below), whose sum is σ = 40545380174. Its totient is φ = 4715149824.

The previous prime is 14145450037. The next prime is 14145450073. The reversal of 14145450048 is 84005454141.

14145450048 is a `hidden beast` number, since 1 + 4 + 145 + 4 + 500 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14096337984 + 49112064 = 118728^2 + 7008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14145449994 and 14145450021.

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, 12278461 + ... + 12279612.

Almost surely, 214145450048 is an apocalyptic number.

14145450048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14145450048 is an abundant number, since it is smaller than the sum of its proper divisors (26399930126).

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

14145450048 is a wasteful number, since it uses less digits than its factorization.

14145450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24558091 (or 24558078 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 14145450048 in words is "fourteen billion, one hundred forty-five million, four hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 24558073 49116146 73674219 98232292 147348438 196464584 221022657 294696876 392929168 442045314 589393752 785858336 884090628 1178787504 1571716672 1768181256 2357575008 3536362512 4715150016 7072725024 14145450048