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3066142144 = 261323163983
BaseRepresentation
bin1011011011000001…
…1001110111000000
321220200111011022011
42312300121313000
522234413022034
61224130022304
7135660530632
oct26660316700
97820434264
103066142144
111333836a7a
12716a17994
1339b3020c0
14211302a52
1512e2ab864
hexb6c19dc0

3066142144 has 112 divisors (see below), whose sum is σ = 6886236672. Its totient is φ = 1343941632.

The previous prime is 3066142139. The next prime is 3066142153. The reversal of 3066142144 is 4412416603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3118677 + ... + 3119659.

It is an arithmetic number, because the mean of its divisors is an integer number (61484256).

Almost surely, 23066142144 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 3066142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443118336).

3066142144 is an abundant number, since it is smaller than the sum of its proper divisors (3820094528).

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

3066142144 is a wasteful number, since it uses less digits than its factorization.

3066142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3066142144 is about 55372.7563337784. The cubic root of 3066142144 is about 1452.7718906080.

Adding to 3066142144 its reverse (4412416603), we get a palindrome (7478558747).

The spelling of 3066142144 in words is "three billion, sixty-six million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 163 184 208 299 326 368 416 598 652 736 832 983 1196 1304 1472 1966 2119 2392 2608 3749 3932 4238 4784 5216 7498 7864 8476 9568 10432 12779 14996 15728 16952 19136 22609 25558 29992 31456 33904 45218 48737 51116 59984 62912 67808 90436 97474 102232 119968 135616 160229 180872 194948 204464 239936 293917 320458 361744 389896 408928 587834 640916 723488 779792 817856 1175668 1281832 1446976 1559584 2082977 2351336 2563664 3119168 3685267 4165954 4702672 5127328 7370534 8331908 9405344 10254656 14741068 16663816 18810688 29482136 33327632 47908471 58964272 66655264 95816942 117928544 133310528 191633884 235857088 383267768 766535536 1533071072 3066142144