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133944444 = 223214924971
BaseRepresentation
bin1111111101111…
…01010001111100
3100100001002020100
413332331101330
5233242210234
621142521100
73214336404
oct776752174
9310032210
10133944444
1169676497
1238a36190
1321999c8a
1413b09804
15bb5c399
hex7fbd47c

133944444 has 36 divisors (see below), whose sum is σ = 340867800. Its totient is φ = 44346720.

The previous prime is 133944439. The next prime is 133944467. The reversal of 133944444 is 444449331.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1339444442 = 35882228156938272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 133944399 and 133944408.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 7122 + ... + 17849.

It is an arithmetic number, because the mean of its divisors is an integer number (9468550).

Almost surely, 2133944444 is an apocalyptic number.

It is an amenable number.

133944444 is an abundant number, since it is smaller than the sum of its proper divisors (206923356).

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

133944444 is a wasteful number, since it uses less digits than its factorization.

133944444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25130 (or 25125 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 133944444 is about 11573.4370003038. The cubic root of 133944444 is about 511.6522653069.

The spelling of 133944444 in words is "one hundred thirty-three million, nine hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 24971 49942 74913 99884 149826 224739 299652 449478 898956 3720679 7441358 11162037 14882716 22324074 33486111 44648148 66972222 133944444