Search a number
-
+
365140395228 = 223771331184967
BaseRepresentation
bin1010101000001000001…
…00000100010011011100
31021220111021001222002210
411110010010010103130
521440301420121403
6435424305520420
735244343102140
oct5240404042334
91256437058083
10365140395228
11130945263384
125a924943110
132858153287b
141395c5a1220
15977134bb03
hex55041044dc

365140395228 has 96 divisors (see below), whose sum is σ = 990410416128. Its totient is φ = 102545150400.

The previous prime is 365140395197. The next prime is 365140395251. The reversal of 365140395228 is 822593041563.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881601 + ... + 2066567.

It is an arithmetic number, because the mean of its divisors is an integer number (10316775168).

Almost surely, 2365140395228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365140395228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495205208064).

365140395228 is an abundant number, since it is smaller than the sum of its proper divisors (625270020900).

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

365140395228 is a wasteful number, since it uses less digits than its factorization.

365140395228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185383 (or 185381 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 365140395228 in words is "three hundred sixty-five billion, one hundred forty million, three hundred ninety-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 331 426 497 662 852 993 994 1324 1491 1986 1988 2317 2982 3972 4634 5964 6951 9268 13902 23501 27804 47002 70503 94004 141006 164507 184967 282012 329014 369934 493521 554901 658028 739868 987042 1109802 1294769 1974084 2219604 2589538 3884307 5179076 7768614 13132657 15537228 26265314 39397971 52530628 61224077 78795942 91928599 122448154 157591884 183672231 183857198 244896308 275785797 367344462 367714396 428568539 551571594 734688924 857137078 1103143188 1285705617 1714274156 2571411234 4346909467 5142822468 8693818934 13040728401 17387637868 26081456802 30428366269 52162913604 60856732538 91285098807 121713465076 182570197614 365140395228