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132419142544 = 24134182118913
BaseRepresentation
bin111101101010011001…
…0111100001110010000
3110122210111222102022211
41323110302330032100
54132143300030134
6140455453441504
712365320066033
oct1732462741620
9418714872284
10132419142544
1151182176797
12217b6aa0294
13c644133520
1465a28ad01a
1536a041b764
hex1ed4cbc390

132419142544 has 80 divisors (see below), whose sum is σ = 283396330224. Its totient is φ = 59550105600.

The previous prime is 132419142539. The next prime is 132419142551. The reversal of 132419142544 is 445241914231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10813504144 + 121605638400 = 103988^2 + 348720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132419142497 and 132419142506.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6992032 + ... + 7010944.

Almost surely, 2132419142544 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 132419142544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141698165112).

132419142544 is an abundant number, since it is smaller than the sum of its proper divisors (150977187680).

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

132419142544 is a wasteful number, since it uses less digits than its factorization.

132419142544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19796 (or 19790 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The spelling of 132419142544 in words is "one hundred thirty-two billion, four hundred nineteen million, one hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 821 1066 1642 2132 3284 4264 6568 8528 10673 13136 18913 21346 33661 37826 42692 67322 75652 85384 134644 151304 170768 245869 269288 302608 437593 491738 538576 775433 875186 983476 1550866 1750372 1966952 3101732 3500744 3933904 6203464 7001488 10080629 12406928 15527573 20161258 31055146 40322516 62110292 80645032 124220584 161290064 201858449 248441168 403716898 636630493 807433796 1273260986 1614867592 2546521972 3229735184 5093043944 8276196409 10186087888 16552392818 33104785636 66209571272 132419142544