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3141265644 = 22331117155539
BaseRepresentation
bin1011101100111011…
…1110100011101100
322002220211211101000
42323032332203230
522413131000034
61235412120300
7140562213606
oct27316764354
98086754330
103141265644
111372187410
12738006090
133b0a4598a
1421b29a176
15135b9a599
hexbb3be8ec

3141265644 has 96 divisors (see below), whose sum is σ = 9407059200. Its totient is φ = 895898880.

The previous prime is 3141265607. The next prime is 3141265651. The reversal of 3141265644 is 4465621413.

3141265644 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 2 + 6 + 5 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3141265599 and 3141265608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57574 + ... + 97965.

It is an arithmetic number, because the mean of its divisors is an integer number (97990200).

Almost surely, 23141265644 is an apocalyptic number.

3141265644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3141265644 is an abundant number, since it is smaller than the sum of its proper divisors (6265793556).

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

3141265644 is a wasteful number, since it uses less digits than its factorization.

3141265644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155580 (or 155572 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3141265644 is about 56046.9949595873. The cubic root of 3141265644 is about 1464.5410691536.

The spelling of 3141265644 in words is "three billion, one hundred forty-one million, two hundred sixty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 155539 311078 466617 622156 933234 1399851 1710929 1866468 2644163 2799702 3421858 4199553 5132787 5288326 5599404 6843716 7932489 8399106 10265574 10576652 15398361 15864978 16798212 20531148 23797467 29085793 30796722 31729956 46195083 47594934 58171586 61593444 71392401 87257379 92390166 95189868 116343172 142784802 174514758 184780332 261772137 285569604 349029516 523544274 785316411 1047088548 1570632822 3141265644