Search a number
-
+
320544443452156 = 227112293599087667
BaseRepresentation
bin100100011100010001001000…
…1101011111100101011111100
31120000221202020101211002200221
41020320202101223330223330
5314003300010010432111
63053424030123031124
7124342400061504220
oct11070422153745374
91500852211732627
10320544443452156
1193154153830400
122bb4b7b166b4a4
13109b2299353ab1
145922610670780
15270d16ae7d371
hex1238891afcafc

320544443452156 has 144 divisors (see below), whose sum is σ = 730997473651200. Its totient is φ = 120245088458880.

The previous prime is 320544443452133. The next prime is 320544443452157. The reversal of 320544443452156 is 651254344445023.

It is a super-2 number, since 2×3205444434521562 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320544443452157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30728635 + ... + 39816301.

It is an arithmetic number, because the mean of its divisors is an integer number (5076371344800).

Almost surely, 2320544443452156 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 320544443452156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365498736825600).

320544443452156 is an abundant number, since it is smaller than the sum of its proper divisors (410453030199044).

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

320544443452156 is a wasteful number, since it uses less digits than its factorization.

320544443452156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088088 (or 9088075 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 52.

Adding to 320544443452156 its reverse (651254344445023), we get a palindrome (971798787897179).

The spelling of 320544443452156 in words is "three hundred twenty trillion, five hundred forty-four billion, four hundred forty-three million, four hundred fifty-two thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 121 154 203 242 308 319 359 406 484 638 718 812 847 1276 1436 1694 2233 2513 3388 3509 3949 4466 5026 7018 7898 8932 10052 10411 14036 15796 20822 24563 27643 41644 43439 49126 55286 72877 86878 98252 110572 114521 145754 173756 229042 291508 304073 458084 608146 801647 1216292 1259731 1603294 2519462 3206588 5038924 8818117 9087667 17636234 18175334 35272468 36350668 63613669 99964337 127227338 199928674 254454676 263542343 399857348 527084686 699750359 1054169372 1099607707 1399500718 1844796401 2199215414 2799001436 2898965773 3262472453 3689592802 4398430828 5797931546 6524944906 7379185604 7697253949 11595863092 13049889812 15394507898 20292760411 22837307171 30789015796 31888623503 35887196983 40585520822 45674614342 63777247006 71774393966 81171041644 91349228684 94611701137 127554494012 143548787932 189223402274 223220364521 251210378881 378446804548 394759166813 446440729042 502420757762 662281907959 789518333626 892881458084 1004841515524 1040728712507 1324563815918 1579036667252 2081457425014 2649127631836 2763314167691 4162914850028 5526628335382 7285100987549 11053256670764 11448015837577 14570201975098 22896031675154 29140403950196 45792063350308 80136110863039 160272221726078 320544443452156