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3145132000 = 25537310771
BaseRepresentation
bin1011101101110110…
…1110011111100000
322010012010021000101
42323131232133200
522420123211000
61240031032144
7140640116023
oct27335563740
98105107011
103145132000
11137438824a
1273936b654
133b179a76a
1421b9c51ba
151361b0e6a
hexbb76e7e0

3145132000 has 96 divisors (see below), whose sum is σ = 7834173984. Its totient is φ = 1240704000.

The previous prime is 3145131991. The next prime is 3145132043. The reversal of 3145132000 is 2315413.

It is a super-3 number, since 3×31451320003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286615 + ... + 297385.

It is an arithmetic number, because the mean of its divisors is an integer number (81605979).

Almost surely, 23145132000 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 3145132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917086992).

3145132000 is an abundant number, since it is smaller than the sum of its proper divisors (4689041984).

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

3145132000 is a wasteful number, since it uses less digits than its factorization.

3145132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10869 (or 10851 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3145132000 is about 56081.4764427614. The cubic root of 3145132000 is about 1465.1416885873.

Adding to 3145132000 its reverse (2315413), we get a palindrome (3147447413).

The spelling of 3145132000 in words is "three billion, one hundred forty-five million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 730 800 1000 1168 1460 1825 2000 2336 2920 3650 4000 5840 7300 9125 10771 11680 14600 18250 21542 29200 36500 43084 53855 58400 73000 86168 107710 146000 172336 215420 269275 292000 344672 430840 538550 786283 861680 1077100 1346375 1572566 1723360 2154200 2692750 3145132 3931415 4308400 5385500 6290264 7862830 8616800 10771000 12580528 15725660 19657075 21542000 25161056 31451320 39314150 43084000 62902640 78628300 98285375 125805280 157256600 196570750 314513200 393141500 629026400 786283000 1572566000 3145132000