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1340814740064 = 25335713911179
BaseRepresentation
bin10011100000101110110…
…010010100101001100000
311202011212200111001222120
4103200232302110221200
5133431442033140224
62503543425104240
7165604432146552
oct23405662245140
94664780431876
101340814740064
114776aaa69528
12197a38188080
1399590bc0ac7
1448c7803b4d2
1524d271e6779
hex1382ec94a60

1340814740064 has 48 divisors (see below), whose sum is σ = 3520625209920. Its totient is φ = 446812974720.

The previous prime is 1340814740009. The next prime is 1340814740123. The reversal of 1340814740064 is 4600474180431.

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

It is a junction number, because it is equal to n+sod(n) for n = 1340814739998 and 1340814740025.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1612774 + ... + 2298405.

It is an arithmetic number, because the mean of its divisors is an integer number (73346358540).

Almost surely, 21340814740064 is an apocalyptic number.

It is an amenable number.

1340814740064 is an abundant number, since it is smaller than the sum of its proper divisors (2179810469856).

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

1340814740064 is a wasteful number, since it uses less digits than its factorization.

1340814740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914763 (or 3914755 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 1340814740064 in words is "one trillion, three hundred forty billion, eight hundred fourteen million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3571 7142 10713 14284 21426 28568 42852 57136 85704 114272 171408 342816 3911179 7822358 11733537 15644716 23467074 31289432 46934148 62578864 93868296 125157728 187736592 375473184 13966820209 27933640418 41900460627 55867280836 83800921254 111734561672 167601842508 223469123344 335203685016 446938246688 670407370032 1340814740064