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1340397273072 = 24311131723171307
BaseRepresentation
bin10011100000010101111…
…001110011111111110000
311202010210120221112221010
4103200111321303333300
5133430113200214242
62503434153230520
7165561202555614
oct23402571637760
94663716845833
101340397273072
11477506353390
12197940402440
1399525575010
1448c3880b344
1524d0073289c
hex13815e73ff0

1340397273072 has 960 divisors, whose sum is σ = 4538397523968. Its totient is φ = 335591424000.

The previous prime is 1340397272989. The next prime is 1340397273073. The reversal of 1340397273072 is 2703727930431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340397273073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4366114743 + ... + 4366115049.

Almost surely, 21340397273072 is an apocalyptic number.

1340397273072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340397273072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269198761984).

1340397273072 is an abundant number, since it is smaller than the sum of its proper divisors (3198000250896).

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

1340397273072 is a wasteful number, since it uses less digits than its factorization.

1340397273072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 1340397273072 in words is "one trillion, three hundred forty billion, three hundred ninety-seven million, two hundred seventy-three thousand, seventy-two".