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274021413120 = 28325713220107
BaseRepresentation
bin1111111100110011110…
…0101111000100000000
3222012022000122002002200
43333030330233010000
513442143440204440
6325514513513200
725540335403110
oct3771474570400
9865260562080
10274021413120
11a6236a42494
1245135272800
131cabc944900
14d396c23040
1571dbb39c30
hex3fccf2f100

274021413120 has 648 divisors, whose sum is σ = 1173344268096. Its totient is φ = 57812631552.

The previous prime is 274021413091. The next prime is 274021413121. The reversal of 274021413120 is 21314120472.

It is a super-3 number, since 3×2740214131203 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (274021413121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13618107 + ... + 13638213.

Almost surely, 2274021413120 is an apocalyptic number.

274021413120 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 274021413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586672134048).

274021413120 is an abundant number, since it is smaller than the sum of its proper divisors (899322854976).

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

274021413120 is a wasteful number, since it uses less digits than its factorization.

274021413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20167 (or 20137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 274021413120 its reverse (21314120472), we get a palindrome (295335533592).

The spelling of 274021413120 in words is "two hundred seventy-four billion, twenty-one million, four hundred thirteen thousand, one hundred twenty".