Search a number
-
+
29942149444 = 2224123592
BaseRepresentation
bin11011111000101100…
…001111000101000100
32212021201102210022221
4123320230033011010
5442310142240234
621431044102124
72106665033224
oct337054170504
985251383287
1029942149444
1111775621059
125977694944
132a923bb5bc
1416408aa084
15ba39eceb4
hex6f8b0f144

29942149444 has 27 divisors (see below), whose sum is σ = 52764059901. Its totient is φ = 14867424960.

The previous prime is 29942149439. The next prime is 29942149483. The reversal of 29942149444 is 44494124992.

The square root of 29942149444 is 173038.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22518603844 + 7423545600 = 150062^2 + 86160^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29942149391 and 29942149400.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 83404137 + ... + 83404495.

Almost surely, 229942149444 is an apocalyptic number.

29942149444 is the 173038-th square number.

It is an amenable number.

29942149444 is a deficient number, since it is larger than the sum of its proper divisors (22821910457).

29942149444 is an frugal number, since it uses more digits than its factorization.

29942149444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 602 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The spelling of 29942149444 in words is "twenty-nine billion, nine hundred forty-two million, one hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 4 241 359 482 718 964 1436 58081 86519 116162 128881 173038 232324 257762 346076 515524 20851079 31060321 41702158 62120642 83404316 124241284 7485537361 14971074722 29942149444