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3144114324 = 2232136718193
BaseRepresentation
bin1011101101100111…
…0110000010010100
322010010012120000200
42323121312002110
522414343124244
61235553140500
7140625350031
oct27331660224
98103176020
103144114324
11137385269a
12738b5a730
133b15024a0
1421b7dc388
1513605e669
hexbb676094

3144114324 has 36 divisors (see below), whose sum is σ = 8558979156. Its totient is φ = 967419648.

The previous prime is 3144114269. The next prime is 3144114343. The reversal of 3144114324 is 4234114413.

3144114324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2013137424 + 1130976900 = 44868^2 + 33630^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3358629 + ... + 3359564.

It is an arithmetic number, because the mean of its divisors is an integer number (237749421).

Almost surely, 23144114324 is an apocalyptic number.

It is an amenable number.

3144114324 is an abundant number, since it is smaller than the sum of its proper divisors (5414864832).

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

3144114324 is a wasteful number, since it uses less digits than its factorization.

3144114324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718216 (or 6718211 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3144114324 is about 56072.4025167462. The cubic root of 3144114324 is about 1464.9836453656.

Adding to 3144114324 its reverse (4234114413), we get a palindrome (7378228737).

The spelling of 3144114324 in words is "three billion, one hundred forty-four million, one hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6718193 13436386 20154579 26872772 40309158 60463737 80618316 87336509 120927474 174673018 241854948 262009527 349346036 524019054 786028581 1048038108 1572057162 3144114324