Search a number
-
+
332145025456216 = 23721031282019931
BaseRepresentation
bin100101110000101011000101…
…0010000011001100001011000
31121120000202100220110200222111
41023201112022100121201120
5322013331003004044331
63134225152423202104
7126650454235543450
oct11341261220314130
91546022326420874
10332145025456216
1196916a0695a0a5
1231303b20ba6334
13113441abb6ca3b
145c03c954aad60
15285ecc361adb1
hex12e158a419858

332145025456216 has 32 divisors (see below), whose sum is σ = 711773185178880. Its totient is φ = 142341099069600.

The previous prime is 332145025456091. The next prime is 332145025456217. The reversal of 332145025456216 is 612654520541233.

It is a super-2 number, since 2×3321450254562162 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332145025456216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332145025456217) by changing a digit.

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, 139832230 + ... + 142187701.

It is an arithmetic number, because the mean of its divisors is an integer number (22242912036840).

Almost surely, 2332145025456216 is an apocalyptic number.

It is an amenable number.

332145025456216 is an abundant number, since it is smaller than the sum of its proper divisors (379628159722664).

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

332145025456216 is a wasteful number, since it uses less digits than its factorization.

332145025456216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282040975 (or 282040971 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 49.

Adding to 332145025456216 its reverse (612654520541233), we get a palindrome (944799545997449).

The spelling of 332145025456216 in words is "three hundred thirty-two trillion, one hundred forty-five billion, twenty-five million, four hundred fifty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 21031 42062 84124 147217 168248 294434 588868 1177736 282019931 564039862 1128079724 1974139517 2256159448 3948279034 7896558068 15793116136 5931161168861 11862322337722 23724644675444 41518128182027 47449289350888 83036256364054 166072512728108 332145025456216