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1345454639424 = 2635771174071
BaseRepresentation
bin10011100101000011010…
…110001000100101000000
311202121212001021101100000
4103211003112020211000
5134020442341430144
62510032054200000
7166130422511130
oct23450326104500
94677761241300
101345454639424
114796710825a5
12198912053000
1399b5026ab9c
1449198362ac0
1524ee971b769
hex13943588940

1345454639424 has 336 divisors, whose sum is σ = 4635072239616. Its totient is φ = 378999129600.

The previous prime is 1345454639407. The next prime is 1345454639437. The reversal of 1345454639424 is 4249364545431.

1345454639424 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 546 + 3 + 94 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7642309 + ... + 7816379.

It is an arithmetic number, because the mean of its divisors is an integer number (13794857856).

Almost surely, 21345454639424 is an apocalyptic number.

1345454639424 is a gapful number since it is divisible by the number (14) 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 1345454639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317536119808).

1345454639424 is an abundant number, since it is smaller than the sum of its proper divisors (3289617600192).

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

1345454639424 is an equidigital number, since it uses as much as digits as its factorization.

1345454639424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174176 (or 174154 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 1345454639424 in words is "one trillion, three hundred forty-five billion, four hundred fifty-four million, six hundred thirty-nine thousand, four hundred twenty-four".