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275161381440 = 26351147895441
BaseRepresentation
bin1000000000100001110…
…01010111101001000000
3222022020110200110122120
410000100321113221000
514002012303201230
6330223555204240
725610520102651
oct4002071275100
9868213613576
10275161381440
11a6771476570
12453b2ba6680
131cc41b7a88a
14d4643a7528
157256c68310
hex4010e57a40

275161381440 has 224 divisors, whose sum is σ = 953433175680. Its totient is φ = 66679603200.

The previous prime is 275161381427. The next prime is 275161381447. The reversal of 275161381440 is 44183161572.

It is a junction number, because it is equal to n+sod(n) for n = 275161381392 and 275161381401.

It is not an unprimeable number, because it can be changed into a prime (275161381447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50569120 + ... + 50574560.

Almost surely, 2275161381440 is an apocalyptic number.

275161381440 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 275161381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476716587840).

275161381440 is an abundant number, since it is smaller than the sum of its proper divisors (678271794240).

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

275161381440 is a wasteful number, since it uses less digits than its factorization.

275161381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 275161381440 in words is "two hundred seventy-five billion, one hundred sixty-one million, three hundred eighty-one thousand, four hundred forty".