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3041133040 = 2451161181313
BaseRepresentation
bin1011010101000100…
…0000000111110000
321211221102120021001
42311101000013300
522212012224130
61221434011344
7135235130041
oct26521000760
97757376231
103041133040
1113207052a0
1270a576b54
13396086a0a
1420bc728c8
1512bebb6ca
hexb54401f0

3041133040 has 160 divisors (see below), whose sum is σ = 7908368832. Its totient is φ = 1078272000.

The previous prime is 3041133037. The next prime is 3041133059. The reversal of 3041133040 is 403311403.

It is a junction number, because it is equal to n+sod(n) for n = 3041132999 and 3041133017.

It is a congruent number.

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, 9715924 + ... + 9716236.

Almost surely, 23041133040 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 3041133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954184416).

3041133040 is an abundant number, since it is smaller than the sum of its proper divisors (4867235792).

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

3041133040 is a wasteful number, since it uses less digits than its factorization.

3041133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3041133040 is about 55146.4689712768. The cubic root of 3041133040 is about 1448.8112397103.

Adding to 3041133040 its reverse (403311403), we get a palindrome (3444444443).

The spelling of 3041133040 in words is "three billion, forty-one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 181 220 244 305 313 362 440 488 610 626 671 724 880 905 976 1220 1252 1342 1448 1565 1810 1991 2440 2504 2684 2896 3130 3355 3443 3620 3982 4880 5008 5368 6260 6710 6886 7240 7964 9955 10736 11041 12520 13420 13772 14480 15928 17215 19093 19910 22082 25040 26840 27544 31856 34430 38186 39820 44164 53680 55088 55205 56653 68860 76372 79640 88328 95465 110410 113306 121451 137720 152744 159280 176656 190930 210023 220820 226612 242902 275440 283265 305488 381860 420046 441640 453224 485804 566530 607255 623183 763720 840092 883280 906448 971608 1050115 1133060 1214510 1246366 1527440 1680184 1943216 2100230 2266120 2429020 2492732 3115915 3360368 3455833 4200460 4532240 4858040 4985464 6231830 6911666 8400920 9716080 9970928 12463660 13823332 16801840 17279165 24927320 27646664 34558330 38014163 49854640 55293328 69116660 76028326 138233320 152056652 190070815 276466640 304113304 380141630 608226608 760283260 1520566520 3041133040