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4413212400032 = 257314912679313
BaseRepresentation
bin100000000111000011111…
…1101010001100110100000
3120121220021100201112110022
41000032013331101212200
51034301224333300112
613215222441453012
7633562342312622
oct100160775214640
916556240645408
104413212400032
1114516a6390737
125b3387aa1168
13260219814b57
1411385a15ac12
1579be77add72
hex40387f519a0

4413212400032 has 48 divisors (see below), whose sum is σ = 8866644280200. Its totient is φ = 2161771978752.

The previous prime is 4413212400031. The next prime is 4413212400041. The reversal of 4413212400032 is 2300042123144.

It can be written as a sum of positive squares in 4 ways, for example, as 2879686817296 + 1533525582736 = 1696964^2 + 1238356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4413212399974 and 4413212400010.

It is not an unprimeable number, because it can be changed into a prime (4413212400031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5991593 + ... + 6687720.

Almost surely, 24413212400032 is an apocalyptic number.

It is an amenable number.

4413212400032 is an abundant number, since it is smaller than the sum of its proper divisors (4453431880168).

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

4413212400032 is a wasteful number, since it uses less digits than its factorization.

4413212400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679545 (or 12679537 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4413212400032 its reverse (2300042123144), we get a palindrome (6713254523176).

The spelling of 4413212400032 in words is "four trillion, four hundred thirteen billion, two hundred twelve million, four hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 73 146 149 292 298 584 596 1168 1192 2336 2384 4768 10877 21754 43508 87016 174032 348064 12679313 25358626 50717252 101434504 202869008 405738016 925589849 1851179698 1889217637 3702359396 3778435274 7404718792 7556870548 14809437584 15113741096 29618875168 30227482192 60454964384 137912887501 275825775002 551651550004 1103303100008 2206606200016 4413212400032