Search a number
-
+
3141386616 = 2331738919793
BaseRepresentation
bin1011101100111101…
…1100000101111000
322002221001222022110
42323033130011320
522413143332431
61235414452320
7140563226364
oct27317340570
98087058273
103141386616
11137225a295
127380640a0
133b0a88a64
1421b2cc2a4
15135bc1346
hexbb3dc178

3141386616 has 64 divisors (see below), whose sum is σ = 8337232800. Its totient is φ = 982949888.

The previous prime is 3141386593. The next prime is 3141386639. The reversal of 3141386616 is 6166831413.

It is an interprime number because it is at equal distance from previous prime (3141386593) and next prime (3141386639).

It is a nude number because it is divisible by every one of its digits.

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, 148816 + ... + 168608.

Almost surely, 23141386616 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 3141386616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168616400).

3141386616 is an abundant number, since it is smaller than the sum of its proper divisors (5195846184).

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

3141386616 is a wasteful number, since it uses less digits than its factorization.

3141386616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20208 (or 20204 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3141386616 is about 56048.0741506789. The cubic root of 3141386616 is about 1464.5598690269.

The spelling of 3141386616 in words is "three billion, one hundred forty-one million, three hundred eighty-six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 389 408 778 1167 1556 2334 3112 4668 6613 9336 13226 19793 19839 26452 39586 39678 52904 59379 79172 79356 118758 158344 158712 237516 336481 475032 672962 1009443 1345924 2018886 2691848 4037772 7699477 8075544 15398954 23098431 30797908 46196862 61595816 92393724 130891109 184787448 261782218 392673327 523564436 785346654 1047128872 1570693308 3141386616