Search a number
-
+
33342141040 = 2451332059751
BaseRepresentation
bin11111000011010110…
…001011001001110000
310012001200010020222121
4133003112023021300
51021241042003130
623152301444024
72260151344165
oct370326131160
9105050106877
1033342141040
111315a85106a
126566270614
1331b4910650
14188427406c
15d02252d7a
hex7c358b270

33342141040 has 40 divisors (see below), whose sum is σ = 83483594208. Its totient is φ = 12310944000.

The previous prime is 33342141037. The next prime is 33342141043. The reversal of 33342141040 is 4014124333.

It is an interprime number because it is at equal distance from previous prime (33342141037) and next prime (33342141043).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×333421410402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33342140996 and 33342141014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33342141043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16028836 + ... + 16030915.

Almost surely, 233342141040 is an apocalyptic number.

It is an amenable number.

33342141040 is an abundant number, since it is smaller than the sum of its proper divisors (50141453168).

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

33342141040 is a wasteful number, since it uses less digits than its factorization.

33342141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32059777 (or 32059771 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 33342141040 its reverse (4014124333), we get a palindrome (37356265373).

The spelling of 33342141040 in words is "thirty-three billion, three hundred forty-two million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 32059751 64119502 128239004 160298755 256478008 320597510 416776763 512956016 641195020 833553526 1282390040 1667107052 2083883815 2564780080 3334214104 4167767630 6668428208 8335535260 16671070520 33342141040