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245114451120 = 243571114599091
BaseRepresentation
bin1110010001000111110…
…1011011010010110000
3212102200110002020222110
43210101331123102300
513003443244413440
6304334245205320
723465110313010
oct3442175332260
9772613066873
10245114451120
1194a52799050
123b608400840
131a163b63676
14bc13a23c40
156598e6e080
hex3911f5b4b0

245114451120 has 320 divisors, whose sum is σ = 948105031680. Its totient is φ = 50892364800.

The previous prime is 245114451103. The next prime is 245114451143. The reversal of 245114451120 is 21154411542.

245114451120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26957775 + ... + 26966865.

It is an arithmetic number, because the mean of its divisors is an integer number (2962828224).

Almost surely, 2245114451120 is an apocalyptic number.

245114451120 is a gapful number since it is divisible by the number (20) 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 245114451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474052515840).

245114451120 is an abundant number, since it is smaller than the sum of its proper divisors (702990580560).

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

245114451120 is a wasteful number, since it uses less digits than its factorization.

245114451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10584 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 245114451120 its reverse (21154411542), we get a palindrome (266268862662).

The spelling of 245114451120 in words is "two hundred forty-five billion, one hundred fourteen million, four hundred fifty-one thousand, one hundred twenty".