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133344213432 = 23361139655267
BaseRepresentation
bin111110000101111101…
…1110011100110111000
3110202011222122220000120
41330023323303212320
54141042104312212
6141131341133240
712430252053513
oct1741373634670
9422158586016
10133344213432
1151607372191
1221a1485a220
13c760997451
14664d6b3d7a
15370674b88c
hex1f0bef39b8

133344213432 has 64 divisors (see below), whose sum is σ = 341263574400. Its totient is φ = 43404819840.

The previous prime is 133344213419. The next prime is 133344213439. The reversal of 133344213432 is 234312443331.

It is a happy number.

It is a super-3 number, since 3×1333442134323 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133344213393 and 133344213402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133344213439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124138 + ... + 531129.

It is an arithmetic number, because the mean of its divisors is an integer number (5332243350).

Almost surely, 2133344213432 is an apocalyptic number.

133344213432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133344213432 is an abundant number, since it is smaller than the sum of its proper divisors (207919360968).

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

133344213432 is a wasteful number, since it uses less digits than its factorization.

133344213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655476 (or 655472 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 133344213432 its reverse (234312443331), we get a palindrome (367656656763).

The spelling of 133344213432 in words is "one hundred thirty-three billion, three hundred forty-four million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 139 183 244 278 366 417 488 556 732 834 1112 1464 1668 3336 8479 16958 25437 33916 50874 67832 101748 203496 655267 1310534 1965801 2621068 3931602 5242136 7863204 15726408 39971287 79942574 91082113 119913861 159885148 182164226 239827722 273246339 319770296 364328452 479655444 546492678 728656904 959310888 1092985356 2185970712 5556008893 11112017786 16668026679 22224035572 33336053358 44448071144 66672106716 133344213432