Search a number
-
+
33044141000 = 23531317149521
BaseRepresentation
bin11110110001100101…
…011001001111001000
310011021220101021210002
4132301211121033020
51020133300003000
623102534342132
72246602364333
oct366145311710
9104256337702
1033044141000
1113017613242
1264a24ba948
133167c62c70
14185686161a
15cd5edb8d5
hex7b19593c8

33044141000 has 128 divisors (see below), whose sum is σ = 88170132960. Its totient is φ = 11483136000.

The previous prime is 33044140979. The next prime is 33044141003. The reversal of 33044141000 is 14144033.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 50324836 + 32993816164 = 7094^2 + 181642^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (33044141003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146240 + ... + 295760.

Almost surely, 233044141000 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 33044141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44085066480).

33044141000 is an abundant number, since it is smaller than the sum of its proper divisors (55125991960).

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

33044141000 is a wasteful number, since it uses less digits than its factorization.

33044141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149572 (or 149558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 33044141000 its reverse (14144033), we get a palindrome (33058285033).

The spelling of 33044141000 in words is "thirty-three billion, forty-four million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 170 200 221 250 260 325 340 425 442 500 520 650 680 850 884 1000 1105 1300 1625 1700 1768 2125 2210 2600 3250 3400 4250 4420 5525 6500 8500 8840 11050 13000 17000 22100 27625 44200 55250 110500 149521 221000 299042 598084 747605 1196168 1495210 1943773 2541857 2990420 3738025 3887546 5083714 5980840 7476050 7775092 9718865 10167428 12709285 14952100 15550184 18690125 19437730 20334856 25418570 29904200 33044141 37380250 38875460 48594325 50837140 63546425 66088282 74760500 77750920 97188650 101674280 127092850 132176564 149521000 165220705 194377300 242971625 254185700 264353128 317732125 330441410 388754600 485943250 508371400 635464250 660882820 826103525 971886500 1270928500 1321765640 1652207050 1943773000 2541857000 3304414100 4130517625 6608828200 8261035250 16522070500 33044141000