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3145042140 = 2235795471213
BaseRepresentation
bin1011101101110101…
…1000100011011100
322010011221200202020
42323131120203130
522420112322030
61240025100140
7140636263032
oct27335304334
98104850666
103145042140
111374326789
12739327650
133b17688a6
1421b9a0552
15136194510
hexbb7588dc

3145042140 has 96 divisors (see below), whose sum is σ = 8941255680. Its totient is φ = 825866496.

The previous prime is 3145042093. The next prime is 3145042169. The reversal of 3145042140 is 412405413.

It is a self number, because there is not a number n which added to its sum of digits gives 3145042140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2592174 + ... + 2593386.

It is an arithmetic number, because the mean of its divisors is an integer number (93138080).

Almost surely, 23145042140 is an apocalyptic number.

3145042140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470627840).

3145042140 is an abundant number, since it is smaller than the sum of its proper divisors (5796213540).

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

3145042140 is a wasteful number, since it uses less digits than its factorization.

3145042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3145042140 is about 56080.6752812410. The cubic root of 3145042140 is about 1465.1277348660.

Adding to 3145042140 its reverse (412405413), we get a palindrome (3557447553).

The spelling of 3145042140 in words is "three billion, one hundred forty-five million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 547 790 948 1094 1185 1213 1580 1641 2188 2370 2426 2735 3282 3639 4740 4852 5470 6065 6564 7278 8205 10940 12130 14556 16410 18195 24260 32820 36390 43213 72780 86426 95827 129639 172852 191654 216065 259278 287481 383308 432130 479135 518556 574962 648195 663511 864260 958270 1149924 1296390 1327022 1437405 1916540 1990533 2592780 2654044 2874810 3317555 3981066 5749620 6635110 7962132 9952665 13270220 19905330 39810660 52417369 104834738 157252107 209669476 262086845 314504214 524173690 629008428 786260535 1048347380 1572521070 3145042140