Search a number
-
+
140075620641 = 321111779120121
BaseRepresentation
bin1000001001110100101…
…0000101100100100001
3111101120002222210202200
42002131022011210201
54243333324330031
6144203322403413
713056130062435
oct2023512054441
9441502883680
10140075620641
1154451044040
1223193060569
131029444ac38
146acb6b49c5
15399c6ac8e6
hex209d285921

140075620641 has 24 divisors (see below), whose sum is σ = 220745796960. Its totient is φ = 84886401600.

The previous prime is 140075620603. The next prime is 140075620649. The reversal of 140075620641 is 146026570041.

140075620641 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 7 + 5 + 6 + 2 + 0 + 641 = 666.

It is not a de Polignac number, because 140075620641 - 27 = 140075620513 is a prime.

It is a super-3 number, since 3×1400756206413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 140075620596 and 140075620605.

It is not an unprimeable number, because it can be changed into a prime (140075620649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106061 + ... + 1226181.

It is an arithmetic number, because the mean of its divisors is an integer number (9197741540).

Almost surely, 2140075620641 is an apocalyptic number.

140075620641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140075620641 is a deficient number, since it is larger than the sum of its proper divisors (80670176319).

140075620641 is a wasteful number, since it uses less digits than its factorization.

140075620641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131917 (or 131914 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 140075620641 in words is "one hundred forty billion, seventy-five million, six hundred twenty thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 11779 35337 106011 120121 129569 360363 388707 1081089 1166121 1321331 3963993 11891979 1414905259 4244715777 12734147331 15563957849 46691873547 140075620641