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14204041440 = 253529591753
BaseRepresentation
bin11010011101010000…
…00111100011100000
31100122220102001210220
431032220013203200
5213042213311230
610305241523040
71011663234351
oct151650074340
940586361726
1014204041440
1160298a1626
122904aa3480
13145497c864
1498a62bd28
15581ed9d10
hex34ea078e0

14204041440 has 48 divisors (see below), whose sum is σ = 44742732048. Its totient is φ = 3787744256.

The previous prime is 14204041429. The next prime is 14204041459. The reversal of 14204041440 is 4414040241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14204041440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14795397 + ... + 14796356.

It is an arithmetic number, because the mean of its divisors is an integer number (932140251).

Almost surely, 214204041440 is an apocalyptic number.

14204041440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14204041440 is an abundant number, since it is smaller than the sum of its proper divisors (30538690608).

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

14204041440 is a wasteful number, since it uses less digits than its factorization.

14204041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29591771 (or 29591763 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14204041440 its reverse (4414040241), we get a palindrome (18618081681).

The spelling of 14204041440 in words is "fourteen billion, two hundred four million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 29591753 59183506 88775259 118367012 147958765 177550518 236734024 295917530 355101036 443876295 473468048 591835060 710202072 887752590 946936096 1183670120 1420404144 1775505180 2367340240 2840808288 3551010360 4734680480 7102020720 14204041440