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3145437441 = 3719591283
BaseRepresentation
bin1011101101111011…
…1001000100000001
322010012200210000000
42323132321010001
522420212444231
61240041350213
7140642530356
oct27336710401
98105623000
103145437441
111374576783
12739498369
133b18767b3
1421ba6462d
151362216e6
hexbb7b9101

3145437441 has 64 divisors (see below), whose sum is σ = 5053824000. Its totient is φ = 1951398864.

The previous prime is 3145437439. The next prime is 3145437497. The reversal of 3145437441 is 1447345413.

3145437441 is a `hidden beast` number, since 3 + 1 + 4 + 543 + 74 + 41 = 666.

3145437441 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3145437441 - 21 = 3145437439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3145437396 and 3145437405.

It is not an unprimeable number, because it can be changed into a prime (3145437431) 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, 2450986 + ... + 2452268.

It is an arithmetic number, because the mean of its divisors is an integer number (78966000).

Almost surely, 23145437441 is an apocalyptic number.

It is an amenable number.

3145437441 is a deficient number, since it is larger than the sum of its proper divisors (1908386559).

3145437441 is an equidigital number, since it uses as much as digits as its factorization.

3145437441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1364 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 3145437441 is about 56084.1995663663. The cubic root of 3145437441 is about 1465.1891163642.

The spelling of 3145437441 in words is "three billion, one hundred forty-five million, four hundred thirty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 19 27 57 59 81 171 177 243 513 531 729 1121 1283 1539 1593 2187 3363 3849 4617 4779 10089 11547 13851 14337 24377 30267 34641 41553 43011 73131 75697 90801 103923 129033 219393 227091 272403 311769 658179 681273 817209 935307 1438243 1974537 2043819 2451627 2805921 4314729 5923611 6131457 12944187 17770833 18394371 38832561 53312499 55183113 116497683 165549339 349493049 1048479147 3145437441