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4234144131 = 337471094373
BaseRepresentation
bin1111110001011111…
…1110100110000011
3101221002021210211000
43330113332212003
532132420103011
61540052223043
7206632426350
oct37427764603
911832253730
104234144131
111883078178
129a200aa83
135262a2039
142c24a3627
1519bac6356
hexfc5fe983

4234144131 has 64 divisors (see below), whose sum is σ = 7390310400. Its totient is φ = 2345770368.

The previous prime is 4234144111. The next prime is 4234144153. The reversal of 4234144131 is 1314414324.

4234144131 is a `hidden beast` number, since 4 + 234 + 14 + 413 + 1 = 666.

It is not a de Polignac number, because 4234144131 - 27 = 4234144003 is a prime.

It is a super-2 number, since 2×42341441312 = 35855953044163490322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4234144095 and 4234144104.

It is not an unprimeable number, because it can be changed into a prime (4234144111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966061 + ... + 970433.

It is an arithmetic number, because the mean of its divisors is an integer number (115473600).

Almost surely, 24234144131 is an apocalyptic number.

4234144131 is a deficient number, since it is larger than the sum of its proper divisors (3156166269).

4234144131 is a wasteful number, since it uses less digits than its factorization.

4234144131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4539 counting only the distinct ones).

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

The square root of 4234144131 is about 65070.3014515839. The cubic root of 4234144131 is about 1617.7890036675.

Adding to 4234144131 its reverse (1314414324), we get a palindrome (5548558455).

The spelling of 4234144131 in words is "four billion, two hundred thirty-four million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 47 63 109 141 189 327 329 423 763 981 987 1269 2289 2943 2961 4373 5123 6867 8883 13119 15369 20601 30611 35861 39357 46107 91833 107583 118071 138321 205531 275499 322749 476657 616593 826497 968247 1429971 1438717 1849779 3336599 4289913 4316151 5549337 10009797 12869739 12948453 22402879 30029391 38845359 67208637 90088173 156820153 201625911 470460459 604877733 1411381377 4234144131