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452030679040 = 2115251397443
BaseRepresentation
bin1101001001111110010…
…00001100100000000000
31121012202210110201120111
412210333020030200000
524401224323212130
6543354322121104
744441512242553
oct6447710144000
91535683421514
10452030679040
11164783596696
12737341b0194
133381b0074a5
1417c4249669a
15bb596b102a
hex693f20c800

452030679040 has 192 divisors, whose sum is σ = 1094137087680. Its totient is φ = 179232768000.

The previous prime is 452030679029. The next prime is 452030679041. The reversal of 452030679040 is 40976030254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 452030678984 and 452030679002.

It is not an unprimeable number, because it can be changed into a prime (452030679041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020385059 + ... + 1020385501.

It is an arithmetic number, because the mean of its divisors is an integer number (5698630665).

Almost surely, 2452030679040 is an apocalyptic number.

452030679040 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 452030679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547068543840).

452030679040 is an abundant number, since it is smaller than the sum of its proper divisors (642106408640).

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

452030679040 is a wasteful number, since it uses less digits than its factorization.

452030679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 452030679040 in words is "four hundred fifty-two billion, thirty million, six hundred seventy-nine thousand, forty".