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1345842708480 = 217385313
BaseRepresentation
bin10011100101011010011…
…110100000000000000000
311202122212002111100000000
4103211122132200000000
5134022241213132410
62510134400000000
7166143144161604
oct23453236400000
94678762440000
101345842708480
11479850139626
12198a00000000
1399bb2792a4a
14491d3add504
152501d824dc0
hex1395a7a0000

1345842708480 has 648 divisors, whose sum is σ = 4860247611492. Its totient is φ = 357744771072.

The previous prime is 1345842708437. The next prime is 1345842708517. The reversal of 1345842708480 is 848072485431.

1345842708480 is a `hidden beast` number, since 1 + 3 + 4 + 58 + 42 + 70 + 8 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1118382391296 + 227460317184 = 1057536^2 + 476928^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×13458427084802 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4299816804 + ... + 4299817116.

Almost surely, 21345842708480 is an apocalyptic number.

1345842708480 is a gapful number since it is divisible by the number (10) 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 1345842708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430123805746).

1345842708480 is an abundant number, since it is smaller than the sum of its proper divisors (3514404903012).

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

1345842708480 is an frugal number, since it uses more digits than its factorization.

1345842708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 1345842708480 in words is "one trillion, three hundred forty-five billion, eight hundred forty-two million, seven hundred eight thousand, four hundred eighty".