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3141405020 = 22513101119627
BaseRepresentation
bin1011101100111110…
…0000100101011100
322002221002220120002
42323033200211130
522413144430040
61235415113432
7140563334135
oct27317404534
98087086502
103141405020
1113722720a6
12738072878
133b0a94250
1421b2d4c8c
15135bc6a15
hexbb3e095c

3141405020 has 48 divisors (see below), whose sum is σ = 7174808928. Its totient is φ = 1148409600.

The previous prime is 3141405017. The next prime is 3141405031. The reversal of 3141405020 is 205041413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3141404983 and 3141405001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33554 + ... + 86073.

It is an arithmetic number, because the mean of its divisors is an integer number (149475186).

Almost surely, 23141405020 is an apocalyptic number.

It is an amenable number.

3141405020 is an abundant number, since it is smaller than the sum of its proper divisors (4033403908).

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

3141405020 is a wasteful number, since it uses less digits than its factorization.

3141405020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119750 (or 119748 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3141405020 is about 56048.2383309235. The cubic root of 3141405020 is about 1464.5627290916.

Adding to 3141405020 its reverse (205041413), we get a palindrome (3346446433).

The spelling of 3141405020 in words is "three billion, one hundred forty-one million, four hundred five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5252 6565 13130 26260 119627 239254 478508 598135 1196270 1555151 2392540 3110302 6220604 7775755 12082327 15551510 24164654 31103020 48329308 60411635 120823270 157070251 241646540 314140502 628281004 785351255 1570702510 3141405020