Search a number
-
+
275074122240 = 29325172961397
BaseRepresentation
bin1000000000010111011…
…00100000001000000000
3222022000101111020112100
410000023230200020000
514001322433402430
6330211201030400
725605410313651
oct4001354401000
9868011436470
10275074122240
11a6727197425
1245389925400
131cc29a78308
14d456971528
15724e27d960
hex400bb20200

275074122240 has 960 divisors, whose sum is σ = 1063258241760. Its totient is φ = 65399685120.

The previous prime is 275074122217. The next prime is 275074122241. The reversal of 275074122240 is 42221470572.

275074122240 is a `hidden beast` number, since 2 + 7 + 507 + 4 + 122 + 24 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 19070505216 + 256003617024 = 138096^2 + 505968^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2750741222402 (a number of 24 digits) contains 22 as substring.

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 = 275074122195 and 275074122204.

It is not an unprimeable number, because it can be changed into a prime (275074122241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692881722 + ... + 692882118.

Almost surely, 2275074122240 is an apocalyptic number.

275074122240 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 275074122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531629120880).

275074122240 is an abundant number, since it is smaller than the sum of its proper divisors (788184119520).

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

275074122240 is a wasteful number, since it uses less digits than its factorization.

275074122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 275074122240 in words is "two hundred seventy-five billion, seventy-four million, one hundred twenty-two thousand, two hundred forty".