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1454424011040 = 25357111319313509
BaseRepresentation
bin10101001010100010011…
…011010011000100100000
312011001010022101000100110
4111022202123103010200
5142312130021323130
63032053030051320
7210035661054120
oct25124233230440
95131108330313
101454424011040
115108aa48a310
121b5a637a9b40
13a71c80958c0
1450574704c80
1527c760d2ab0
hex152a26d3120

1454424011040 has 1536 divisors, whose sum is σ = 6508499558400. Its totient is φ = 262925844480.

The previous prime is 1454424011017. The next prime is 1454424011093. The reversal of 1454424011040 is 401104244541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1454424010989 and 1454424011007.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2857414306 + ... + 2857414814.

It is an arithmetic number, because the mean of its divisors is an integer number (4237304400).

Almost surely, 21454424011040 is an apocalyptic number.

1454424011040 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 1454424011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254249779200).

1454424011040 is an abundant number, since it is smaller than the sum of its proper divisors (5054075547360).

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

1454424011040 is a wasteful number, since it uses less digits than its factorization.

1454424011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1454424011040 its reverse (401104244541), we get a palindrome (1855528255581).

The spelling of 1454424011040 in words is "one trillion, four hundred fifty-four billion, four hundred twenty-four million, eleven thousand, forty".