Search a number
-
+
3141514422 = 2331771157307
BaseRepresentation
bin1011101100111111…
…1011010010110110
322002221022110122000
42323033323102312
522413211430142
61235421320130
7140564301114
oct27317732266
98087273560
103141514422
111372337312
12738106046
133b0b01c97
1421b322ab4
15135be914c
hexbb3fb4b6

3141514422 has 128 divisors (see below), whose sum is σ = 7568225280. Its totient is φ = 962357760.

The previous prime is 3141514379. The next prime is 3141514429. The reversal of 3141514422 is 2244151413.

3141514422 is a `hidden beast` number, since 3 + 141 + 514 + 4 + 2 + 2 = 666.

It is a super-2 number, since 2×31415144222 = 19738225727267988168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141514429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10232793 + ... + 10233099.

It is an arithmetic number, because the mean of its divisors is an integer number (59126760).

Almost surely, 23141514422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141514422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784112640).

3141514422 is an abundant number, since it is smaller than the sum of its proper divisors (4426710858).

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

3141514422 is a wasteful number, since it uses less digits than its factorization.

3141514422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 3141514422 is about 56049.2142853047. The cubic root of 3141514422 is about 1464.5797304260.

Adding to 3141514422 its reverse (2244151413), we get a palindrome (5385665835).

The spelling of 3141514422 in words is "three billion, one hundred forty-one million, five hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 71 102 142 153 157 213 306 307 314 426 459 471 614 639 918 921 942 1207 1278 1413 1842 1917 2414 2669 2763 2826 3621 3834 4239 5219 5338 5526 7242 8007 8289 8478 10438 10863 11147 15657 16014 16578 21726 21797 22294 24021 31314 32589 33441 43594 46971 48042 48199 65178 65391 66882 72063 93942 96398 100323 130782 140913 144126 144597 189499 196173 200646 281826 289194 300969 370549 378998 392346 433791 568497 588519 601938 741098 819383 867582 1111647 1136994 1177038 1301373 1638766 1705491 2223294 2458149 2602746 3334941 3410982 3422129 4916298 5116473 6669882 6844258 7374447 10004823 10232946 10266387 14748894 20009646 20532774 22123341 30799161 44246682 58176193 61598322 92397483 116352386 174528579 184794966 349057158 523585737 1047171474 1570757211 3141514422