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453194327040 = 210357133110459
BaseRepresentation
bin1101001100001000111…
…11001010010000000000
31121022202220002011112120
412212010133022100000
524411120221431130
6544110011124240
744512402135410
oct6460437122000
91538686064476
10453194327040
11165220423654
12739b9a43680
13339751116c0
1417d12c42640
15bbc691a910
hex69847ca400

453194327040 has 704 divisors, whose sum is σ = 1841741905920. Its totient is φ = 92525690880.

The previous prime is 453194326993. The next prime is 453194327111. The reversal of 453194327040 is 40723491354.

It is a happy number.

It is a super-2 number, since 2×4531943270402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 453194326983 and 453194327001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43325331 + ... + 43335789.

Almost surely, 2453194327040 is an apocalyptic number.

453194327040 is a gapful number since it is divisible by the number (40) 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 453194327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920870952960).

453194327040 is an abundant number, since it is smaller than the sum of its proper divisors (1388547578880).

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

453194327040 is a wasteful number, since it uses less digits than its factorization.

453194327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10538 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 453194327040 in words is "four hundred fifty-three billion, one hundred ninety-four million, three hundred twenty-seven thousand, forty".