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1344374411440 = 24516804680143
BaseRepresentation
bin10011100100000010111…
…101011001000010110000
311202112001202122010010011
4103210002331121002300
5134011234322131230
62505332545144304
7166061564644324
oct23440275310260
94675052563104
101344374411440
114791673422a5
1219867032b094
1399a0a520928
14490d4acd984
1524e8498de2a
hex13902f590b0

1344374411440 has 20 divisors (see below), whose sum is σ = 3125670506784. Its totient is φ = 537749764544.

The previous prime is 1344374411423. The next prime is 1344374411447. The reversal of 1344374411440 is 441144734431.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1344374411393 and 1344374411402.

It is not an unprimeable number, because it can be changed into a prime (1344374411447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8402339992 + ... + 8402340151.

Almost surely, 21344374411440 is an apocalyptic number.

1344374411440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344374411440 is an abundant number, since it is smaller than the sum of its proper divisors (1781296095344).

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

1344374411440 is a wasteful number, since it uses less digits than its factorization.

1344374411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16804680156 (or 16804680150 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 1344374411440 in words is "one trillion, three hundred forty-four billion, three hundred seventy-four million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16804680143 33609360286 67218720572 84023400715 134437441144 168046801430 268874882288 336093602860 672187205720 1344374411440