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4245145344 = 2832111759167
BaseRepresentation
bin1111110100000111…
…1100011100000000
3101221211222201122100
43331001330130000
532143224122334
61541124110400
7210125066016
oct37501743400
911854881570
104245145344
111889301590
129a5835400
1352865452b
142c3b288b6
1519ca4ac99
hexfd07c700

4245145344 has 432 divisors, whose sum is σ = 14463671040. Its totient is φ = 1183088640.

The previous prime is 4245145313. The next prime is 4245145379. The reversal of 4245145344 is 4435415424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4245145299 and 4245145308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25419949 + ... + 25420115.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 24245145344 is an apocalyptic number.

4245145344 is a gapful number since it is divisible by the number (44) 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 4245145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231835520).

4245145344 is an abundant number, since it is smaller than the sum of its proper divisors (10218525696).

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

4245145344 is a wasteful number, since it uses less digits than its factorization.

4245145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 4245145344 is about 65154.7799014009. The cubic root of 4245145344 is about 1619.1889126811.

The spelling of 4245145344 in words is "four billion, two hundred forty-five million, one hundred forty-five thousand, three hundred forty-four".