Search a number
-
+
3141332432 = 247291496491
BaseRepresentation
bin1011101100111100…
…1110110111010000
322002220222012222122
42323033032313100
522413140114212
61235413353412
7140562612410
oct27317166720
98086865878
103141332432
111372222607
12738038868
133b0a6a1b4
1421b2b6640
15135bb0272
hexbb3cedd0

3141332432 has 80 divisors (see below), whose sum is σ = 7245072000. Its totient is φ = 1290938880.

The previous prime is 3141332431. The next prime is 3141332473. The reversal of 3141332432 is 2342331413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141332431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 480707 + ... + 487197.

It is an arithmetic number, because the mean of its divisors is an integer number (90563400).

Almost surely, 23141332432 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 3141332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622536000).

3141332432 is an abundant number, since it is smaller than the sum of its proper divisors (4103739568).

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

3141332432 is a wasteful number, since it uses less digits than its factorization.

3141332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6678 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 3141332432 is about 56047.5907778381. The cubic root of 3141332432 is about 1464.5514485237.

Adding to 3141332432 its reverse (2342331413), we get a palindrome (5483663845).

The spelling of 3141332432 in words is "three billion, one hundred forty-one million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 149 203 232 298 406 464 596 812 1043 1192 1624 2086 2384 3248 4172 4321 6491 8344 8642 12982 16688 17284 25964 30247 34568 45437 51928 60494 69136 90874 103856 120988 181748 188239 241976 363496 376478 483952 726992 752956 967159 1317673 1505912 1934318 2635346 3011824 3868636 5270692 6770113 7737272 10541384 13540226 15474544 21082768 27080452 28047611 54160904 56095222 108321808 112190444 196333277 224380888 392666554 448761776 785333108 1570666216 3141332432