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1454452000000 = 28561773293
BaseRepresentation
bin10101001010100100000…
…110000100010100000000
312011001012021000222222121
4111022210012010110000
5142312204203000000
63032055510014024
7210036451005436
oct25124406042400
95131167028877
101454452000000
1151091426688a
121b5a71047314
13a7200b1540c
145057830cd56
1527c787b0b1a
hex152a4184500

1454452000000 has 504 divisors, whose sum is σ = 3908381378328. Its totient is φ = 538214400000.

The previous prime is 1454451999977. The next prime is 1454452000003. The reversal of 1454452000000 is 2544541.

It is a happy number.

It can be written as a sum of positive squares in 28 ways, for example, as 1272853291264 + 181598708736 = 1128208^2 + 426144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454452000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4963999854 + ... + 4964000146.

It is an arithmetic number, because the mean of its divisors is an integer number (7754724957).

Almost surely, 21454452000000 is an apocalyptic number.

1454452000000 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 1454452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954190689164).

1454452000000 is an abundant number, since it is smaller than the sum of its proper divisors (2453929378328).

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

1454452000000 is an frugal number, since it uses more digits than its factorization.

1454452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 1454452000000 its reverse (2544541), we get a palindrome (1454454544541).

The spelling of 1454452000000 in words is "one trillion, four hundred fifty-four billion, four hundred fifty-two million", and thus it is an aban number.