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3138713865 = 325721423453
BaseRepresentation
bin1011101100010100…
…1111100100001001
322002202001011222200
42323011033210021
522412002320430
61235241310413
7140531425200
oct27305174411
98082034880
103138713865
1113707a4201
12737195409
133b0361351
1421abd4237
15135844460
hexbb14f909

3138713865 has 36 divisors (see below), whose sum is σ = 6328676484. Its totient is φ = 1434839616.

The previous prime is 3138713803. The next prime is 3138713881. The reversal of 3138713865 is 5683178313.

3138713865 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 can be written as a sum of positive squares in 2 ways, for example, as 1997017344 + 1141696521 = 44688^2 + 33789^2 .

It is not a de Polignac number, because 3138713865 - 28 = 3138713609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3138713865.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 709522 + ... + 713931.

It is an arithmetic number, because the mean of its divisors is an integer number (175796569).

Almost surely, 23138713865 is an apocalyptic number.

3138713865 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3138713865 is an abundant number, since it is smaller than the sum of its proper divisors (3189962619).

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

3138713865 is a wasteful number, since it uses less digits than its factorization.

3138713865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423478 (or 1423468 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 3138713865 is about 56024.2256974606. The cubic root of 3138713865 is about 1464.1443927837.

It can be divided in two parts, 3138 and 713865, that added together give a triangular number (717003 = T1197).

The spelling of 3138713865 in words is "three billion, one hundred thirty-eight million, seven hundred thirteen thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 1423453 4270359 7117265 9964171 12811077 21351795 29892513 49820855 64055385 69749197 89677539 149462565 209247591 348745985 448387695 627742773 1046237955 3138713865