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40531222213504 = 271129832662201
BaseRepresentation
bin10010011011100111010010…
…00110100011001110000000
312022111202011120020111122221
421031303221012203032000
520303030420341313004
6222111441511540424
711352166320255541
oct1115635106431600
9168452146214587
1040531222213504
1111a07216324700
12466728038a714
13198010207b889
14a01a161ba4c8
154a449b901354
hex24dce91a3380

40531222213504 has 96 divisors (see below), whose sum is σ = 88843963536720. Its totient is φ = 18404534016000.

The previous prime is 40531222213483. The next prime is 40531222213523.

40531222213504 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 40531222213504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13893604 + ... + 16555804.

Almost surely, 240531222213504 is an apocalyptic number.

40531222213504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40531222213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44421981768360).

40531222213504 is an abundant number, since it is smaller than the sum of its proper divisors (48312741323216).

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

40531222213504 is a wasteful number, since it uses less digits than its factorization.

40531222213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663220 (or 2663197 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 4053122 and 2213504, that added together give a palindrome (6266626).

The spelling of 40531222213504 in words is "forty trillion, five hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 983 1408 1936 1966 3872 3932 7744 7864 10813 15488 15728 21626 31456 43252 62912 86504 118943 125824 173008 237886 346016 475772 692032 951544 1384064 1903088 2662201 3806176 5324402 7612352 10648804 15224704 21297608 29284211 42595216 58568422 85190432 117136844 170380864 234273688 322126321 340761728 468547376 644252642 937094752 1288505284 1874189504 2577010568 2616943583 3748379008 5154021136 5233887166 10308042272 10467774332 20616084544 20935548664 28786379413 41232169088 41871097328 57572758826 83742194656 115145517652 167484389312 230291035304 316650173543 334968778624 460582070608 633300347086 921164141216 1266600694172 1842328282432 2533201388344 3684656564864 5066402776688 10132805553376 20265611106752 40531222213504