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3450452400000 = 273255958459
BaseRepresentation
bin110010001101011110111…
…111010101011110000000
3110012212012221221010012100
4302031132333111132000
5423013011303300000
611201041013430400
7504200266324224
oct62153677253600
913185187833170
103450452400000
111110368476a21
1247887963b400
131c04b7868168
14bd007910784
155eb4a596a00
hex3235efd5780

3450452400000 has 288 divisors, whose sum is σ = 12410513879400. Its totient is φ = 920119680000.

The previous prime is 3450452399987. The next prime is 3450452400013. The reversal of 3450452400000 is 42540543.

It is an interprime number because it is at equal distance from previous prime (3450452399987) and next prime (3450452400013).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3120771 + ... + 4079229.

Almost surely, 23450452400000 is an apocalyptic number.

3450452400000 is a gapful number since it is divisible by the number (30) 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 3450452400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205256939700).

3450452400000 is an abundant number, since it is smaller than the sum of its proper divisors (8960061479400).

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

3450452400000 is an frugal number, since it uses more digits than its factorization.

3450452400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958504 (or 958469 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 3450452400000 its reverse (42540543), we get a palindrome (3450494940543).

The spelling of 3450452400000 in words is "three trillion, four hundred fifty billion, four hundred fifty-two million, four hundred thousand".