Search a number
-
+
174111144440 = 2357161306741
BaseRepresentation
bin1010001000100111010…
…1010011100111111000
3121122102002211120002012
42202021311103213320
510323034423110230
6211552514025052
715402431211002
oct2421165234770
9548362746065
10174111144440
1167927224902
12298b1578188
13135598c1a2c
1485d9a7d372
1547e0727395
hex2889d539f8

174111144440 has 32 divisors (see below), whose sum is σ = 397267688160. Its totient is φ = 68663548800.

The previous prime is 174111144433. The next prime is 174111144463. The reversal of 174111144440 is 44441111471.

174111144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 174111144397 and 174111144406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30650531 + ... + 30656210.

It is an arithmetic number, because the mean of its divisors is an integer number (12414615255).

Almost surely, 2174111144440 is an apocalyptic number.

174111144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

174111144440 is an abundant number, since it is smaller than the sum of its proper divisors (223156543720).

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

174111144440 is a wasteful number, since it uses less digits than its factorization.

174111144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61306823 (or 61306819 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 174111144440 in words is "one hundred seventy-four billion, one hundred eleven million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 61306741 122613482 245226964 306533705 490453928 613067410 1226134820 2452269640 4352778611 8705557222 17411114444 21763893055 34822228888 43527786110 87055572220 174111144440