Search a number
-
+
33044042112 = 273292967317
BaseRepresentation
bin11110110001100101…
…000001000110000000
310011021220012021010120
4132301211001012000
51020133233321422
623102532300240
72246601503124
oct366145010600
9104256167116
1033044042112
1113017555a14
1264a2471680
133167c29c53
141856837584
15cd5ebc45c
hex7b1941180

33044042112 has 64 divisors (see below), whose sum is σ = 90799930800. Its totient is φ = 10634860544.

The previous prime is 33044042093. The next prime is 33044042123. The reversal of 33044042112 is 21124044033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472523 + ... + 1494794.

Almost surely, 233044042112 is an apocalyptic number.

33044042112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33044042112 is an abundant number, since it is smaller than the sum of its proper divisors (57755888688).

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

33044042112 is a wasteful number, since it uses less digits than its factorization.

33044042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967363 (or 2967351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 33044042112 its reverse (21124044033), we get a palindrome (54168086145).

The spelling of 33044042112 in words is "thirty-three billion, forty-four million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 2967317 5934634 8901951 11869268 17803902 23738536 35607804 47477072 71215608 86052193 94954144 142431216 172104386 189908288 258156579 284862432 344208772 379816576 516313158 569724864 688417544 1032626316 1139449728 1376835088 2065252632 2753670176 4130505264 5507340352 8261010528 11014680704 16522021056 33044042112