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245271421440 = 293457271627
BaseRepresentation
bin1110010001101101010…
…0001110001000000000
3212110002101110011210000
43210123110032020000
513004303440441230
6304402013440000
723502024453303
oct3443324161000
9773071404700
10245271421440
1195023361191
123b650aa0000
131a18a533106
14bc2a804b3a
1565a7b28b60
hex391b50e200

245271421440 has 400 divisors, whose sum is σ = 880233786432. Its totient is φ = 65275600896.

The previous prime is 245271421433. The next prime is 245271421453. The reversal of 245271421440 is 44124172542.

245271421440 is a `hidden beast` number, since 24 + 52 + 7 + 142 + 1 + 440 = 666.

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 = 245271421395 and 245271421404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150749907 + ... + 150751533.

Almost surely, 2245271421440 is an apocalyptic number.

245271421440 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 245271421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440116893216).

245271421440 is an abundant number, since it is smaller than the sum of its proper divisors (634962364992).

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

245271421440 is an equidigital number, since it uses as much as digits as its factorization.

245271421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 245271421440 its reverse (44124172542), we get a palindrome (289395593982).

The spelling of 245271421440 in words is "two hundred forty-five billion, two hundred seventy-one million, four hundred twenty-one thousand, four hundred forty".