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241142000130 = 2355521190471
BaseRepresentation
bin1110000010010100101…
…1101110101000000010
3212001102121012211200000
43200211023232220002
512422324323001010
6302440141540430
723264503116153
oct3404513565002
9761377184600
10241142000130
11932a44108a9
123a899b74716
131997cb69455
14b95820192a
15641533b7c0
hex38252eea02

241142000130 has 96 divisors (see below), whose sum is σ = 651441667968. Its totient is φ = 64180771200.

The previous prime is 241142000111. The next prime is 241142000153. The reversal of 241142000130 is 31000241142.

241142000130 is a `hidden beast` number, since 241 + 1 + 420 + 0 + 0 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170795 + ... + 1361265.

It is an arithmetic number, because the mean of its divisors is an integer number (6785850708).

Almost surely, 2241142000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241142000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325720833984).

241142000130 is an abundant number, since it is smaller than the sum of its proper divisors (410299667838).

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

241142000130 is a wasteful number, since it uses less digits than its factorization.

241142000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191014 (or 191002 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 241142000130 its reverse (31000241142), we get a palindrome (272142241272).

The spelling of 241142000130 in words is "two hundred forty-one billion, one hundred forty-two million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 521 810 1042 1215 1563 2430 2605 3126 4689 5210 7815 9378 14067 15630 23445 28134 42201 46890 70335 84402 126603 140670 190471 211005 253206 380942 422010 571413 633015 952355 1142826 1266030 1714239 1904710 2857065 3428478 5142717 5714130 8571195 10285434 15428151 17142390 25713585 30856302 46284453 51427170 77140755 92568906 99235391 154281510 198470782 231422265 297706173 462844530 496176955 595412346 893118519 992353910 1488530865 1786237038 2679355557 2977061730 4465592595 5358711114 8038066671 8931185190 13396777785 16076133342 24114200013 26793555570 40190333355 48228400026 80380666710 120571000065 241142000130