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4454412000 = 253532811321
BaseRepresentation
bin1000010011000000…
…01110111011100000
3102111102202120112020
410021200032323200
533110312141000
62014001301440
7215245606623
oct41140167340
912442676466
104454412000
111986443735
12a43934880
1355cb0465c
1430383ddba
151b10d5ba0
hex10980eee0

4454412000 has 192 divisors, whose sum is σ = 14655670848. Its totient is φ = 1182720000.

The previous prime is 4454411999. The next prime is 4454412013. The reversal of 4454412000 is 2144544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3371340 + ... + 3372660.

It is an arithmetic number, because the mean of its divisors is an integer number (76331619).

Almost surely, 24454412000 is an apocalyptic number.

4454412000 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 4454412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327835424).

4454412000 is an abundant number, since it is smaller than the sum of its proper divisors (10201258848).

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

4454412000 is a wasteful number, since it uses less digits than its factorization.

4454412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4454412000 is about 66741.3814660740. The cubic root of 4454412000 is about 1645.3695704851.

Adding to 4454412000 its reverse (2144544), we get a palindrome (4456556544).

The spelling of 4454412000 in words is "four billion, four hundred fifty-four million, four hundred twelve thousand".