Search a number
-
+
441112145130 = 232547139750229
BaseRepresentation
bin1100110101101000101…
…01010010110011101010
31120011120212022201210200
412122310111102303222
524211344202121010
6534351044053030
743604112240306
oct6326425226352
91504525281720
10441112145130
11160090340548
12715a7694176
133279ac34637
14174c8350d06
15b71ad64cc0
hex66b4552cea

441112145130 has 96 divisors (see below), whose sum is σ = 1179721670400. Its totient is φ = 114298736256.

The previous prime is 441112145069. The next prime is 441112145141. The reversal of 441112145130 is 31541211144.

It is a happy number.

441112145130 is a `hidden beast` number, since 4 + 411 + 1 + 214 + 5 + 1 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 441112145094 and 441112145103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212856 + ... + 963084.

It is an arithmetic number, because the mean of its divisors is an integer number (12288767400).

Almost surely, 2441112145130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441112145130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589860835200).

441112145130 is an abundant number, since it is smaller than the sum of its proper divisors (738609525270).

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

441112145130 is a wasteful number, since it uses less digits than its factorization.

441112145130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750428 (or 750425 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 441112145130 its reverse (31541211144), we get a palindrome (472653356274).

The spelling of 441112145130 in words is "four hundred forty-one billion, one hundred twelve million, one hundred forty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 139 141 235 278 282 417 423 470 695 705 834 846 1251 1390 1410 2085 2115 2502 4170 4230 6255 6533 12510 13066 19599 32665 39198 58797 65330 97995 117594 195990 293985 587970 750229 1500458 2250687 3751145 4501374 6752061 7502290 11253435 13504122 22506870 33760305 35260763 67520610 70521526 104281831 105782289 176303815 208563662 211564578 312845493 317346867 352607630 521409155 528911445 625690986 634693734 938536479 1042818310 1057822890 1564227465 1586734335 1877072958 3128454930 3173468670 4692682395 4901246057 9385364790 9802492114 14703738171 24506230285 29407476342 44111214513 49012460570 73518690855 88222429026 147037381710 220556072565 441112145130