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3144040242 = 237539714561
BaseRepresentation
bin1011101101100110…
…0011111100110010
322010010001210101220
42323121203330302
522414333241432
61235551405510
7140624621040
oct27331437462
98103053356
103144040242
111373801a72
12738b23896
133b14a7855
1421b7bd390
1513604772c
hexbb663f32

3144040242 has 64 divisors (see below), whose sum is σ = 7397961984. Its totient is φ = 872202240.

The previous prime is 3144040201. The next prime is 3144040261. The reversal of 3144040242 is 2420404413.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208642 + ... + 223202.

It is an arithmetic number, because the mean of its divisors is an integer number (115593156).

Almost surely, 23144040242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144040242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698980992).

3144040242 is an abundant number, since it is smaller than the sum of its proper divisors (4253921742).

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

3144040242 is a wasteful number, since it uses less digits than its factorization.

3144040242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14723.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3144040242 is about 56071.7419205075. The cubic root of 3144040242 is about 1464.9721392349.

Adding to 3144040242 its reverse (2420404413), we get a palindrome (5564444655).

The spelling of 3144040242 in words is "three billion, one hundred forty-four million, forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 53 97 106 159 194 291 318 371 582 679 742 1113 1358 2037 2226 4074 5141 10282 14561 15423 29122 30846 35987 43683 71974 87366 101927 107961 203854 215922 305781 611562 771733 1412417 1543466 2315199 2824834 4237251 4630398 5402131 8474502 9886919 10804262 16206393 19773838 29660757 32412786 59321514 74858101 149716202 224574303 449148606 524006707 1048013414 1572020121 3144040242