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41132342001432 = 233111769125915119
BaseRepresentation
bin10010101101000110111101…
…01000100011111100011000
312101122012202122011200102010
421112203132220203330120
520342403014023021212
6223251534223105520
711443466531203443
oct1126433650437430
9171565678150363
1041132342001432
1112119145818470
1247438821422a0
1319c49bc9c7796
14a22b5d07065a
154b4e2ec1303c
hex2568dea23f18

41132342001432 has 256 divisors, whose sum is σ = 119018933452800. Its totient is φ = 11707363584000.

The previous prime is 41132342001407. The next prime is 41132342001467. The reversal of 41132342001432 is 23410024323114.

41132342001432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41132342001432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8035227369 + ... + 8035232487.

It is an arithmetic number, because the mean of its divisors is an integer number (464917708800).

Almost surely, 241132342001432 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 41132342001432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59509466726400).

41132342001432 is an abundant number, since it is smaller than the sum of its proper divisors (77886591451368).

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

41132342001432 is a wasteful number, since it uses less digits than its factorization.

41132342001432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 41132342001432 its reverse (23410024323114), we get a palindrome (64542366324546).

The spelling of 41132342001432 in words is "forty-one trillion, one hundred thirty-two billion, three hundred forty-two million, one thousand, four hundred thirty-two".