Search a number
-
+
3145138700 = 2252114169737
BaseRepresentation
bin1011101101110111…
…0000001000001100
322010012010121012112
42323131300020030
522420123414300
61240031123152
7140640144404
oct27335601014
98105117175
103145138700
111374392290
127393734b8
133b17a0822
1421b9c7804
151361b2e35
hexbb77020c

3145138700 has 72 divisors (see below), whose sum is σ = 7627105584. Its totient is φ = 1115776000.

The previous prime is 3145138699. The next prime is 3145138709. The reversal of 3145138700 is 78315413.

It is a super-3 number, since 3×31451387003 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3145138709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10232 + ... + 79968.

It is an arithmetic number, because the mean of its divisors is an integer number (105932022).

Almost surely, 23145138700 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 3145138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813552792).

3145138700 is an abundant number, since it is smaller than the sum of its proper divisors (4481966884).

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

3145138700 is a wasteful number, since it uses less digits than its factorization.

3145138700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69803 (or 69796 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 3145138700 is about 56081.5361772482. The cubic root of 3145138700 is about 1465.1427289720.

The spelling of 3145138700 in words is "three billion, one hundred forty-five million, one hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 69737 139474 278948 348685 697370 767107 1394740 1534214 1743425 2859217 3068428 3486850 3835535 5718434 6973700 7671070 11436868 14296085 15342140 19177675 28592170 31451387 38355350 57184340 62902774 71480425 76710700 125805548 142960850 157256935 285921700 314513870 629027740 786284675 1572569350 3145138700