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3141385416 = 233513124303
BaseRepresentation
bin1011101100111101…
…1011110011001000
322002221001220200000
42323033123303020
522413143313131
61235414443000
7140563223031
oct27317336310
98087056600
103141385416
1113722593a4
12738063460
133b0a88350
1421b2cba88
15135bc0ce6
hexbb3dbcc8

3141385416 has 96 divisors (see below), whose sum is σ = 9501797760. Its totient is φ = 966572352.

The previous prime is 3141385393. The next prime is 3141385469. The reversal of 3141385416 is 6145831413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36880 + ... + 87423.

It is an arithmetic number, because the mean of its divisors is an integer number (98977060).

Almost surely, 23141385416 is an apocalyptic number.

3141385416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3141385416 is an abundant number, since it is smaller than the sum of its proper divisors (6360412344).

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

3141385416 is a wasteful number, since it uses less digits than its factorization.

3141385416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124337 (or 124321 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3141385416 is about 56048.0634455821. The cubic root of 3141385416 is about 1464.5596825411.

The spelling of 3141385416 in words is "three billion, one hundred forty-one million, three hundred eighty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 124303 248606 372909 497212 745818 994424 1118727 1491636 1615939 2237454 2983272 3231878 3356181 4474908 4847817 6463756 6712362 8949816 9695634 10068543 12927512 13424724 14543451 19391268 20137086 26849448 29086902 30205629 38782536 40274172 43630353 58173804 60411258 80548344 87260706 116347608 120822516 130891059 174521412 241645032 261782118 349042824 392673177 523564236 785346354 1047128472 1570692708 3141385416