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133432441401 = 37229161919333
BaseRepresentation
bin111110001000100110…
…0010111101000111001
3110202102010200100001010
41330101030113220321
54141232201111101
6141144212144133
712432403016100
oct1742114275071
9422363610033
10133432441401
1151652153166
1221a3a308049
13c77604894c
14665b2bd037
15370e3782d6
hex1f11317a39

133432441401 has 48 divisors (see below), whose sum is σ = 214236187200. Its totient is φ = 73568621952.

The previous prime is 133432441391. The next prime is 133432441433. The reversal of 133432441401 is 104144234331.

It is not a de Polignac number, because 133432441401 - 25 = 133432441369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133432441301) 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 47 ways as a sum of consecutive naturals, for example, 6892131 + ... + 6911463.

It is an arithmetic number, because the mean of its divisors is an integer number (4463253900).

Almost surely, 2133432441401 is an apocalyptic number.

It is an amenable number.

133432441401 is a deficient number, since it is larger than the sum of its proper divisors (80803745799).

133432441401 is a wasteful number, since it uses less digits than its factorization.

133432441401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20998 (or 20991 counting only the distinct ones).

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

Adding to 133432441401 its reverse (104144234331), we get a palindrome (237576675732).

The spelling of 133432441401 in words is "one hundred thirty-three billion, four hundred thirty-two million, four hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 1619 4263 4857 11333 19333 33999 46951 57999 79331 135331 140853 237993 328657 405993 560657 947317 985971 1681971 2300599 2841951 3924599 6901797 11773797 27472193 31300127 82416579 93900381 219100889 657302667 907703683 1533706223 2723111049 4601118669 6353925781 19061777343 44477480467 133432441401