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3041442040 = 2357138310067
BaseRepresentation
bin1011010101001000…
…1011100011111000
321211222000021010111
42311102023203320
522212102121130
61221444354104
7135240554650
oct26522134370
97758007114
103041442040
1113208a646a
1270a6a5934
13396164560
1420bd13360
1512c02d02a
hexb548b8f8

3041442040 has 128 divisors (see below), whose sum is σ = 8524776960. Its totient is φ = 950874624.

The previous prime is 3041441993. The next prime is 3041442071. The reversal of 3041442040 is 402441403.

3041442040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 297087 + ... + 307153.

It is an arithmetic number, because the mean of its divisors is an integer number (66599820).

Almost surely, 23041442040 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 3041442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262388480).

3041442040 is an abundant number, since it is smaller than the sum of its proper divisors (5483334920).

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

3041442040 is a wasteful number, since it uses less digits than its factorization.

3041442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3041442040 is about 55149.2705300805. The cubic root of 3041442040 is about 1448.8603077721.

Adding to 3041442040 its reverse (402441403), we get a palindrome (3443883443).

The spelling of 3041442040 in words is "three billion, forty-one million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 83 91 104 130 140 166 182 260 280 332 364 415 455 520 581 664 728 830 910 1079 1162 1660 1820 2158 2324 2905 3320 3640 4316 4648 5395 5810 7553 8632 10067 10790 11620 15106 20134 21580 23240 30212 37765 40268 43160 50335 60424 70469 75530 80536 100670 130871 140938 151060 201340 261742 281876 302120 352345 402680 523484 563752 654355 704690 835561 916097 1046968 1308710 1409380 1671122 1832194 2617420 2818760 3342244 3664388 4177805 4580485 5234840 5848927 6684488 7328776 8355610 9160970 10862293 11697854 16711220 18321940 21724586 23395708 29244635 33422440 36643880 43449172 46791416 54311465 58489270 76036051 86898344 108622930 116978540 152072102 217245860 233957080 304144204 380180255 434491720 608288408 760360510 1520721020 3041442040