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245122240440 = 2335711217141863
BaseRepresentation
bin1110010001001001101…
…1001000111110111000
3212102200222201222220210
43210102123020332320
513004002243143230
6304335124151120
723465233444260
oct3442233107670
9772628658823
10245122240440
1194a57129300
123b60ab384a0
131a16565cc2c
14bc14a907a0
1565999abeb0
hex39126c8fb8

245122240440 has 384 divisors, whose sum is σ = 978112558080. Its totient is φ = 47938007040.

The previous prime is 245122240427. The next prime is 245122240477. The reversal of 245122240440 is 44042221542.

245122240440 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 a junction number, because it is equal to n+sod(n) for n = 245122240398 and 245122240407.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1656949 + ... + 1798811.

It is an arithmetic number, because the mean of its divisors is an integer number (2547168120).

Almost surely, 2245122240440 is an apocalyptic number.

245122240440 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 245122240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489056279040).

245122240440 is an abundant number, since it is smaller than the sum of its proper divisors (732990317640).

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

245122240440 is a wasteful number, since it uses less digits than its factorization.

245122240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141923 (or 141908 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 245122240440 its reverse (44042221542), we get a palindrome (289164461982).

The spelling of 245122240440 in words is "two hundred forty-five billion, one hundred twenty-two million, two hundred forty thousand, four hundred forty".