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3145111000 = 235337167509
BaseRepresentation
bin1011101101110110…
…1001010111011000
322010012002012012121
42323131221113120
522420122023000
61240030351024
7140640000553
oct27335512730
98105065177
103145111000
111374373499
1273935b474
133b1791035
1421b9bb69a
151361a9b1a
hexbb7695d8

3145111000 has 128 divisors (see below), whose sum is σ = 7618665600. Its totient is φ = 1214323200.

The previous prime is 3145110979. The next prime is 3145111007. The reversal of 3145111000 is 1115413.

It is a super-3 number, since 3×31451110003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145111007) 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 31 ways as a sum of consecutive naturals, for example, 6178746 + ... + 6179254.

It is an arithmetic number, because the mean of its divisors is an integer number (59520825).

Almost surely, 23145111000 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 3145111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809332800).

3145111000 is an abundant number, since it is smaller than the sum of its proper divisors (4473554600).

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

3145111000 is a wasteful number, since it uses less digits than its factorization.

3145111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 3145111000 is about 56081.2892148531. The cubic root of 3145111000 is about 1465.1384276702.

Adding to 3145111000 its reverse (1115413), we get a palindrome (3146226413).

The spelling of 3145111000 in words is "three billion, one hundred forty-five million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 167 185 200 250 296 334 370 500 509 668 740 835 925 1000 1018 1336 1480 1670 1850 2036 2545 3340 3700 4072 4175 4625 5090 6179 6680 7400 8350 9250 10180 12358 12725 16700 18500 18833 20360 20875 24716 25450 30895 33400 37000 37666 41750 49432 50900 61790 63625 75332 83500 85003 94165 101800 123580 127250 150664 154475 167000 170006 188330 247160 254500 308950 340012 376660 425015 470825 509000 617900 680024 753320 772375 850030 941650 1235800 1544750 1700060 1883300 2125075 2354125 3089500 3145111 3400120 3766600 4250150 4708250 6179000 6290222 8500300 9416500 10625375 12580444 15725555 17000600 18833000 21250750 25160888 31451110 42501500 62902220 78627775 85003000 125804440 157255550 314511100 393138875 629022200 786277750 1572555500 3145111000