Search a number
-
+
3141028512 = 253229376081
BaseRepresentation
bin1011101100111000…
…0100101010100000
322002220101210002100
42323032010222200
522413100403022
61235403050400
7140560205346
oct27316045240
98086353070
103141028512
111372035236
12737b10a00
133b0991a6b
1421b237996
15135b501ac
hexbb384aa0

3141028512 has 72 divisors (see below), whose sum is σ = 9240334740. Its totient is φ = 1010903040.

The previous prime is 3141028493. The next prime is 3141028519. The reversal of 3141028512 is 2158201413.

3141028512 is a `hidden beast` number, since 3 + 141 + 0 + 2 + 8 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3109623696 + 31404816 = 55764^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×31410285122 = 19732120226393868288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3141028519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179689 + ... + 196392.

Almost surely, 23141028512 is an apocalyptic number.

3141028512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3141028512 is an abundant number, since it is smaller than the sum of its proper divisors (6099306228).

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

3141028512 is a wasteful number, since it uses less digits than its factorization.

3141028512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376126 (or 376115 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3141028512 is about 56044.8794449591. The cubic root of 3141028512 is about 1464.5042158243.

Adding to 3141028512 its reverse (2158201413), we get a palindrome (5299229925).

The spelling of 3141028512 in words is "three billion, one hundred forty-one million, twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 376081 752162 1128243 1504324 2256486 3008648 3384729 4512972 6017296 6769458 9025944 10906349 12034592 13538916 18051888 21812698 27077832 32719047 36103776 43625396 54155664 65438094 87250792 98157141 108311328 130876188 174501584 196314282 261752376 349003168 392628564 523504752 785257128 1047009504 1570514256 3141028512