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41312000412432 = 2432286888891753
BaseRepresentation
bin10010110010010101100110…
…00111000000101100010000
312102021101111100011120122100
421121022303013000230100
520403323434101144212
6223510245422240400
711462456611410321
oct1131126307005420
9172241440146570
1041312000412432
111218835925a792
124772661426100
131a0892193c359
14a2b72374c448
154b9947444bdc
hex2592b31c0b10

41312000412432 has 30 divisors (see below), whose sum is σ = 115616223376862. Its totient is φ = 13770666804096.

The previous prime is 41312000412421. The next prime is 41312000412481. The reversal of 41312000412432 is 23421400021314.

41312000412432 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 200 + 0 + 412 + 43 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41146631310096 + 165369102336 = 6414564^2 + 406656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41312000412396 and 41312000412405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143444445733 + ... + 143444446020.

Almost surely, 241312000412432 is an apocalyptic number.

It is an amenable number.

41312000412432 is an abundant number, since it is smaller than the sum of its proper divisors (74304222964430).

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

41312000412432 is a wasteful number, since it uses less digits than its factorization.

41312000412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286888891767 (or 286888891758 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41312000412432 its reverse (23421400021314), we get a palindrome (64733400433746).

The spelling of 41312000412432 in words is "forty-one trillion, three hundred twelve billion, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 286888891753 573777783506 860666675259 1147555567012 1721333350518 2295111134024 2582000025777 3442666701036 4590222268048 5164000051554 6885333402072 10328000103108 13770666804144 20656000206216 41312000412432