Search a number
-
+
441430166358 = 232172199426421
BaseRepresentation
bin1100110110001110100…
…10011100101101010110
31120012102000201212220200
412123013102130231112
524213022110310413
6534442404241330
743615023335016
oct6330722345526
91505360655820
10441430166358
11160233903605
12716760a0246
133281baa1c8c
1417518695c46
15b738c33573
hex66c749cb56

441430166358 has 72 divisors (see below), whose sum is σ = 1021110121200. Its totient is φ = 137791653120.

The previous prime is 441430166357. The next prime is 441430166381. The reversal of 441430166358 is 853661034144.

441430166358 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 3 + 0 + 1 + 6 + 635 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441430166357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 821988 + ... + 1248408.

Almost surely, 2441430166358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441430166358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510555060600).

441430166358 is an abundant number, since it is smaller than the sum of its proper divisors (579679954842).

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

441430166358 is a wasteful number, since it uses less digits than its factorization.

441430166358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426662 (or 426642 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 441430166358 in words is "four hundred forty-one billion, four hundred thirty million, one hundred sixty-six thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 199 289 306 398 578 597 867 1194 1734 1791 2601 3383 3582 5202 6766 10149 20298 30447 57511 60894 115022 172533 345066 426421 517599 852842 1035198 1279263 2558526 3837789 7249157 7675578 14498314 21747471 43494942 65242413 84857779 123235669 130484826 169715558 246471338 254573337 369707007 509146674 739414014 763720011 1109121021 1442582243 1527440022 2218242042 2885164486 4327746729 8655493458 12983240187 24523898131 25966480374 49047796262 73571694393 147143388786 220715083179 441430166358